diff --git a/mindspore/nn/optim/adam.py b/mindspore/nn/optim/adam.py
index 6142b126cd81be9b05a2607851f74c851114d120..ef96763323e201183d3c4af133df7023835ca207 100755
--- a/mindspore/nn/optim/adam.py
+++ b/mindspore/nn/optim/adam.py
@@ -103,9 +103,9 @@ def _check_learning_rate_value(learning_rate, end_learning_rate, decay_steps, po
     validator.check_integer('decay_steps', decay_steps, 0, Rel.GT, prim_name)
 
 
-@adam_opt.register("Function", "Tensor", "Tensor", "Tensor", "Tensor", "Tensor", "Number", "Tensor", "Tensor", "Tensor",
+@adam_opt.register("Function", "Tensor", "Tensor", "Tensor", "Tensor", "Number", "Tensor", "Tensor", "Tensor", "Tensor",
                    "Tensor")
-def _run_opt_with_one_number(opt, lr, beta1_power, beta2_power, beta1, beta2, eps, gradient, params, moment1,
+def _run_opt_with_one_number(opt, beta1_power, beta2_power, beta1, beta2, eps, lr, gradient, params, moment1,
                              moment2):
     """Apply adam optimizer to the weight parameter using Tensor."""
     success = True
@@ -136,9 +136,27 @@ class Adam(Optimizer):
     `beta1_power` and `beta2_power`, :math:`\alpha` represents `learning_rate`, :math:`w` represents `params`,
     :math:`\epsilon` represents `eps`.
 
+    Note:
+        The Adam optimizer supports separating parameter groups. Different parameter groups can set different
+        `learning_rate` and `weight_decay`.
+
+        When separating parameter groups, the weight decay in each group will be applied on the parameters if the
+        value of weight_decay > 0. When not separating parameter groups, the `weight_decay` in the API will be
+        applied on the parameters if `weight_decay` > 0 and the 'beta' and 'gamma' are not in the name of parameters.
+
     Args:
-        params (list[Parameter]): A list of parameter, which will be updated. The element in `params`
-                                  should be class mindspore.Parameter.
+        params (Union[list[Parameter], list[dict]]): When the `params` is a list of `Parameter` which will be updated,
+            the element in `params` should be class `Parameter`. When the `params` is a list of `dict`, the "params",
+            "lr" and "weight_decay" are the keys can be parsed.
+
+            - params: Required. The value should be a list of `Parameter`.
+
+            - lr: Optional. If "lr" in the keys, the value of corresponding learning rate will be used.
+              If not, the `learning_rate` in the API will be used.
+
+            - weight_decay: Optional. If "weight_decay" in the keys, the value of corresponding weight decay
+              will be used. If not, the `weight_decay` in the API will be used.
+
         learning_rate (Union[float, Tensor, Iterable]): A value for the learning rate. When the learning_rate is
                                                         Iterable or a Tensor and the dims of the Tensor is 1,
                                                         use dynamic learning rate, then the i-th step will
@@ -161,8 +179,6 @@ class Adam(Optimizer):
         weight_decay (float): Weight decay (L2 penalty). Default: 0.0.
         loss_scale (float): A floating point value for the loss scale. Should be equal to or greater than 1. Default:
                             1.0.
-        decay_filter (Function): A function to determine whether to apply weight decay on parameters. Default:
-                                 lambda x: 'LayerNorm' not in x.name and 'bias' not in x.name.
 
     Inputs:
         - **gradients** (tuple[Tensor]) - The gradients of `params`, the shape is the same as `params`.
@@ -172,15 +188,26 @@ class Adam(Optimizer):
 
     Examples:
         >>> net = Net()
-        >>> loss = nn.SoftmaxCrossEntropyWithLogits()
+        >>> #1) All parameters use the same learning rate and weight decay
         >>> optim = nn.Adam(params=net.trainable_params())
-        >>> model = Model(net, loss_fn=loss, optimizer=optim, metrics=None)
+        >>>
+        >>> #2) Use parameter groups and set different values
+        >>> conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+        >>> no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+        >>> group_params = [{'params': conv_params, 'weight_decay': 0.01, 'lr': 0.01},
+        >>>                 {'params': no_conv_params}]
+        >>> opt = nn.Adam(group_params, learning_rate=0.1, weight_decay=0.0)
+        >>> # the conv_params's parameters will use a learning rate of 0.01 and a weight decay of 0.01
+        >>> # the no_cov_params's parameters don't set learning and weight decay. So they will use a
+        >>> # learning rate of 0.1 and a weight decay of 0.0.
+        >>>
+        >>> loss = nn.SoftmaxCrossEntropyWithLogits()
+        >>> model = Model(net, loss_fn=loss, optimizer=optim)
     """
 
     def __init__(self, params, learning_rate=1e-3, beta1=0.9, beta2=0.999, eps=1e-8, use_locking=False,
-                 use_nesterov=False, weight_decay=0.0, loss_scale=1.0,
-                 decay_filter=lambda x: 'beta' not in x.name and 'gamma' not in x.name):
-        super(Adam, self).__init__(learning_rate, params, weight_decay, loss_scale, decay_filter)
+                 use_nesterov=False, weight_decay=0.0, loss_scale=1.0):
+        super(Adam, self).__init__(learning_rate, params, weight_decay, loss_scale)
         _check_param_value(beta1, beta2, eps, weight_decay, self.cls_name)
         validator.check_value_type("use_locking", use_locking, [bool], self.cls_name)
         validator.check_value_type("use_nesterov", use_nesterov, [bool], self.cls_name)
@@ -216,10 +243,14 @@ class Adam(Optimizer):
         self.beta1_power = beta1_power
         beta2_power = self.beta2_power * self.beta2
         self.beta2_power = beta2_power
-        success = self.hyper_map(F.partial(adam_opt, self.opt, lr, beta1_power, beta2_power, self.beta1,
-                                           self.beta2, self.eps),
-                                 gradients, params, moment1, moment2)
-
+        if self.is_group:
+            success = self.hyper_map(F.partial(adam_opt, self.opt, beta1_power, beta2_power, self.beta1,
+                                               self.beta2, self.eps),
+                                     lr, gradients, params, moment1, moment2)
+        else:
+            success = self.hyper_map(F.partial(adam_opt, self.opt, beta1_power, beta2_power, self.beta1,
+                                               self.beta2, self.eps, lr),
+                                     gradients, params, moment1, moment2)
         return success
 
 
@@ -262,6 +293,8 @@ class AdamWeightDecay(Optimizer):
     def __init__(self, params, learning_rate=1e-3, beta1=0.9, beta2=0.999, eps=1e-6, weight_decay=0.0,
                  decay_filter=lambda x: 'beta' not in x.name and 'gamma' not in x.name):
         super(AdamWeightDecay, self).__init__(learning_rate, params)
+        if self.is_group:
+            raise RuntimeError(f"The {self.cls_name} optimizer cannot support group setting.")
         _check_param_value(beta1, beta2, eps, weight_decay, self.cls_name)
         self.beta1 = Tensor(np.array([beta1]).astype(np.float32))
         self.beta2 = Tensor(np.array([beta2]).astype(np.float32))
@@ -330,6 +363,8 @@ class AdamWeightDecayDynamicLR(Optimizer):
                  decay_filter=lambda x: 'beta' not in x.name and 'gamma' not in x.name,
                  warmup_steps=0):
         super(AdamWeightDecayDynamicLR, self).__init__(learning_rate, params)
+        if self.is_group:
+            raise RuntimeError(f"The {self.cls_name} optimizer cannot support group setting.")
         _check_param_value(beta1, beta2, eps, weight_decay, self.cls_name)
         _check_learning_rate_value(learning_rate, end_learning_rate, decay_steps, power, self.cls_name)
         # turn them to scalar when me support scalar/tensor mix operations
diff --git a/mindspore/nn/optim/ftrl.py b/mindspore/nn/optim/ftrl.py
index ccc1b3f10be9d688ff45ebc910ff9e878df16d1d..33edafa4e2d13fb7093b6767871955c8f36b2042 100644
--- a/mindspore/nn/optim/ftrl.py
+++ b/mindspore/nn/optim/ftrl.py
@@ -96,7 +96,8 @@ class FTRL(Optimizer):
     def __init__(self, params, initial_accum=0.1, learning_rate=0.001, lr_power=-0.5, l1=0.0, l2=0.0,
                  use_locking=False, loss_scale=1.0, weight_decay=0.0):
         super(FTRL, self).__init__(learning_rate, params)
-
+        if self.is_group:
+            raise RuntimeError(f"The {self.cls_name} optimizer cannot support group setting.")
         _check_param(initial_accum, learning_rate, lr_power, l1, l2, use_locking, loss_scale, weight_decay,
                      self.cls_name)
         self.moments = self.parameters.clone(prefix="moments", init=initial_accum)
diff --git a/mindspore/nn/optim/lamb.py b/mindspore/nn/optim/lamb.py
index 97a81a590b2c9e4d7060a57077fe66caccaece1f..b4d478f52ab38be605719c9f9dfa124dcd7b3240 100755
--- a/mindspore/nn/optim/lamb.py
+++ b/mindspore/nn/optim/lamb.py
@@ -183,6 +183,8 @@ class Lamb(Optimizer):
                  decay_filter=lambda x: 'LayerNorm' not in x.name and 'bias' not in x.name):
 
         super(Lamb, self).__init__(start_learning_rate, params)
+        if self.is_group:
+            raise RuntimeError(f"The {self.cls_name} optimizer cannot support group setting.")
         _check_param_value(decay_steps, warmup_steps, start_learning_rate, end_learning_rate,
                            power, beta1, beta2, eps, weight_decay, self.cls_name)
 
diff --git a/mindspore/nn/optim/momentum.py b/mindspore/nn/optim/momentum.py
index 67de590c5feb12952ffe51b42ef262d1a40ec856..7cfbf1118333c60cb8d50611b018e6f01c8b4346 100755
--- a/mindspore/nn/optim/momentum.py
+++ b/mindspore/nn/optim/momentum.py
@@ -23,7 +23,7 @@ momentum_opt = C.MultitypeFuncGraph("momentum_opt")
 
 
 @momentum_opt.register("Function", "Tensor", "Tensor", "Tensor", "Tensor", "Tensor")
-def _tensor_run_opt_ext(opt, learning_rate, momentum, gradient, weight, moment):
+def _tensor_run_opt_ext(opt, momentum, learning_rate, gradient, weight, moment):
     """Apply momentum optimizer to the weight parameter using Tensor."""
     success = True
     success = F.depend(success, opt(weight, moment, learning_rate, gradient, momentum))
@@ -36,9 +36,27 @@ class Momentum(Optimizer):
 
     Refer to the paper on the importance of initialization and momentum in deep learning for more details.
 
+    Note:
+        The Momentum optimizer supports separating parameter groups. Different parameter groups can set different
+        `learning_rate` and `weight_decay`.
+
+        When separating parameter groups, the weight decay in each group will be applied on the parameters if the
+        value of weight_decay > 0. When not separating parameter groups, the `weight_decay` in the API will be
+        applied on the parameters if `weight_decay` > 0 and the 'beta' and 'gamma' are not in the name of parameters.
+
     Args:
-        params (list[Parameter]): A list of parameter, which will be updated. The element in `parameters`
-                                  should be class mindspore.Parameter.
+        params (Union[list[Parameter], list[dict]]): When the `params` is a list of `Parameter` which will be updated,
+            the element in `params` should be class `Parameter`. When the `params` is a list of `dict`, the "params",
+            "lr" and "weight_decay" are the keys can be parsed.
+
+            - params: Required. The value should be a list of `Parameter`.
+
+            - lr: Optional. If "lr" in the keys, the value of corresponding learning rate will be used.
+              If not, the `learning_rate` in the API will be used.
+
+            - weight_decay: Optional. If "weight_decay" in the keys, the value of corresponding weight decay
+              will be used. If not, the `weight_decay` in the API will be used.
+
         learning_rate (Union[float, Tensor, Iterable]): A value for the learning rate. When the learning_rate is
                                                         Iterable or a Tensor and the dims of the Tensor is 1,
                                                         use dynamic learning rate, then the i-th step will
@@ -49,8 +67,6 @@ class Momentum(Optimizer):
         momentum (float): Hyperparameter of type float, means momentum for the moving average.
         weight_decay (float): Weight decay (L2 penalty). Default: 0.0.
         loss_scale (float): A floating point value for the loss scale. Default: 1.0.
-        decay_filter (Function): A function to determine whether to apply weight decay on parameters. Default:
-                                 lambda x: 'beta' not in x.name and 'gamma' not in x.name.
 
     Inputs:
         - **gradients** (tuple[Tensor]) - The gradients of `params`, the shape is the same as `params`.
@@ -63,13 +79,24 @@ class Momentum(Optimizer):
 
     Examples:
         >>> net = Net()
-        >>> loss = nn.SoftmaxCrossEntropyWithLogits()
+        >>> #1) All parameters use the same learning rate and weight decay
         >>> optim = nn.Momentum(params=net.trainable_params(), learning_rate=0.1, momentum=0.9)
+        >>>
+        >>> #2) Use parameter groups and set different values
+        >>> conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+        >>> no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+        >>> group_params = [{'params': conv_params, 'weight_decay': 0.01, 'lr': 0.01},
+        >>>                 {'params': no_conv_params}]
+        >>> opt = nn.Momentum(group_params, learning_rate=0.1, momentum=0.9, weight_decay=0.0)
+        >>> # the conv_params's parameters will use a learning rate of 0.01 and a weight decay of 0.01
+        >>> # the no_cov_params's parameters don't set learning and weight decay. So they will use a
+        >>> # learning rate of 0.1 and a weight decay of 0.0.
+        >>>
+        >>> loss = nn.SoftmaxCrossEntropyWithLogits()
         >>> model = Model(net, loss_fn=loss, optimizer=optim, metrics=None)
     """
-    def __init__(self, params, learning_rate, momentum, weight_decay=0.0, loss_scale=1.0,
-                 decay_filter=lambda x: 'beta' not in x.name and 'gamma' not in x.name):
-        super(Momentum, self).__init__(learning_rate, params, weight_decay, loss_scale, decay_filter)
+    def __init__(self, params, learning_rate, momentum, weight_decay=0.0, loss_scale=1.0):
+        super(Momentum, self).__init__(learning_rate, params, weight_decay, loss_scale)
         if isinstance(momentum, float) and momentum < 0.0:
             raise ValueError("momentum should be at least 0.0, but got momentum {}".format(momentum))
         self.momentum = Parameter(Tensor(momentum, mstype.float32), name="momentum")
@@ -84,5 +111,8 @@ class Momentum(Optimizer):
         gradients = self.decay_weight(gradients)
         gradients = self.scale_grad(gradients)
         lr = self.get_lr()
-        success = self.hyper_map(F.partial(momentum_opt, self.opt, lr, self.momentum), gradients, params, moments)
+        if self.is_group:
+            success = self.hyper_map(F.partial(momentum_opt, self.opt, self.momentum), lr, gradients, params, moments)
+        else:
+            success = self.hyper_map(F.partial(momentum_opt, self.opt, self.momentum, lr), gradients, params, moments)
         return success
diff --git a/mindspore/nn/optim/optimizer.py b/mindspore/nn/optim/optimizer.py
index 34abc2b1c2ab1eef765c0468006d60b150f9451d..671e92de3af545c81d601f15e4d17620aeb46a8d 100755
--- a/mindspore/nn/optim/optimizer.py
+++ b/mindspore/nn/optim/optimizer.py
@@ -28,7 +28,6 @@ from mindspore._checkparam import Rel
 from mindspore.common.tensor import Tensor
 from mindspore import log as logger
 
-
 __all__ = ['Optimizer']
 
 
@@ -42,68 +41,96 @@ class Optimizer(Cell):
         This class defines the API to add Ops to train a model. Never use
         this class directly, but instead instantiate one of its subclasses.
 
+        Some optimizers support separating parameter groups. Different parameter groups can set different
+        `learning_rate` and `weight_decay`.
+
+        When separating parameter groups, the weight decay in each group will be applied on the parameters if the
+        value of weight_decay > 0. When not separating parameter groups, the `weight_decay` in the API will be
+        applied on the parameters if `weight_decay` > 0 and the 'beta' and 'gamma' are not in the name of parameters.
+
     Args:
         learning_rate (float): A floating point value for the learning rate. Should be greater than 0.
-        parameters (list): A list of parameter, which will be updated. The element in `parameters`
-            should be class mindspore.Parameter.
+        parameters (Union[list[Parameter], list[dict]]): When the `parameters` is a list of `Parameter` which will be
+            updated, the element in `parameters` should be class `Parameter`. When the `parameters` is a list of `dict`,
+            the "params", "lr" and "weight_decay" are the keys can be parsed.
+
+            - params: Required. The value should be a list of `Parameter`.
+
+            - lr: Optional. If "lr" in the keys, the value of corresponding learning rate will be used.
+              If not, the `learning_rate` in the API will be used.
+
+            - weight_decay: Optional. If "weight_decay" in the keys, the value of corresponding weight decay
+              will be used. If not, the `weight_decay` in the API will be used.
+
         weight_decay (float): A floating point value for the weight decay. It should be equal to or greater than 0.
-            If the type of `weight_decay` input is int, it will be convertd to float. Default: 0.0.
+            If the type of `weight_decay` input is int, it will be converted to float. Default: 0.0.
         loss_scale (float): A floating point value for the loss scale. It should be greater than 0. If the
-            type of `loss_scale` input is int, it will be convertd to float. Default: 1.0.
-        decay_filter (Function): A function to determine whether to apply weight decay on parameters. Default: lambda
-            x: 'beta' not in x.name and 'gamma' not in x.name.
+            type of `loss_scale` input is int, it will be converted to float. Default: 1.0.
 
     Raises:
         ValueError: If the learning_rate is a Tensor, but the dims of tensor is greater than 1.
         TypeError: If the learning_rate is not any of the three types: float, Tensor, Iterable.
     """
 
-    def __init__(self, learning_rate, parameters, weight_decay=0.0, loss_scale=1.0,
-                 decay_filter=lambda x: 'beta' not in x.name and 'gamma' not in x.name):
+    def __init__(self, learning_rate, parameters, weight_decay=0.0, loss_scale=1.0):
         super(Optimizer, self).__init__(auto_prefix=False)
+        if parameters and not isinstance(parameters, list):
+            parameters = list(parameters)
+
+        if not parameters:
+            raise ValueError("Optimizer got an empty parameter list.")
+
+        if not isinstance(parameters[0], (dict, Parameter)):
+            raise ValueError("Only a list of Parameter or dict can be supported.")
+
+        if isinstance(loss_scale, int):
+            loss_scale = float(loss_scale)
+        validator.check_value_type("loss_scale", loss_scale, [float], None)
+        validator.check_number_range("loss_scale", loss_scale, 0.0, float("inf"), Rel.INC_NEITHER, None)
+
+        if isinstance(weight_decay, int):
+            weight_decay = float(weight_decay)
+        validator.check_value_type("weight_decay", weight_decay, [float], None)
+        validator.check_number_range("weight_decay", weight_decay, 0.0, float("inf"), Rel.INC_LEFT, None)
+
+        self.is_group = False
+        self.loss_scale = loss_scale
         if isinstance(learning_rate, float):
             self.dynamic_lr = False
             self.gather = None
             self.assignadd = None
             self.global_step = None
-            validator.check_number_range("learning rate", learning_rate, 0.0, float("inf"), Rel.INC_LEFT, self.cls_name)
-            learning_rate = Tensor(learning_rate, mstype.float32)
+            self.scalar_lr = learning_rate
         else:
             self.dynamic_lr = True
             self.gather = P.GatherV2()
             self.assignadd = P.AssignAdd()
             self.global_step = Parameter(initializer(0, [1], mindspore.int32), name='global_step')
-            if isinstance(learning_rate, Iterable):
-                learning_rate = Tensor(np.array(list(learning_rate)).astype(np.float32))
-            elif isinstance(learning_rate, Tensor):
-                if learning_rate.dim() > 1:
-                    raise ValueError("Learning rate should be a 0 or 1 dim `Tensor`,"
-                                     f"but got {learning_rate.dim()}.")
-                if learning_rate.dim() == 1 and learning_rate.size() < 2:
-                    logger.warning("If want to use the dynamic learning rate, please make sure that the number "
-                                   "of elements in the list, tuple or tensor passed is greater than 1.")
-            else:
-                raise TypeError("Learning rate should be float, Tensor or Iterable.")
-
-        if isinstance(weight_decay, int):
-            weight_decay = float(weight_decay)
-        validator.check_value_type("weight_decay", weight_decay, [float], None)
-        validator.check_number_range("weight_decay", weight_decay, 0.0, float("inf"), Rel.INC_LEFT, None)
-
-        if isinstance(loss_scale, int):
-            loss_scale = float(loss_scale)
-        validator.check_value_type("loss_scale", loss_scale, [float], None)
-        validator.check_number_range("loss_scale", loss_scale, 0.0, float("inf"), Rel.INC_NEITHER, None)
-
-        self.loss_scale = loss_scale
-        self.learning_rate = Parameter(learning_rate, name="learning_rate")
-        self.parameters = ParameterTuple(parameters)
+            self.scalar_lr = None
+
+        learning_rate = self._get_single_lr(learning_rate)
+        if isinstance(parameters[0], dict):
+            self.is_group = True
+            self.params = []
+            self.group_lr = []
+            self.group_weight_decay = []
+            self._init_group_params(parameters, learning_rate, weight_decay)
+
+        if self.is_group:
+            self.learning_rate = ParameterTuple(self.group_lr)
+            self.parameters = ParameterTuple(self.params)
+            self.weight_decay = tuple(self.group_weight_decay)
+            decay_filter = lambda x: x > 0
+            self.decay_flags = tuple(decay_filter(x) for x in self.weight_decay)
+        else:
+            self.learning_rate = Parameter(learning_rate, name="learning_rate")
+            self.parameters = ParameterTuple(parameters)
+            self.weight_decay = weight_decay * loss_scale
+            decay_filter = lambda x: 'beta' not in x.name and 'gamma' not in x.name
+            self.decay_flags = tuple(decay_filter(x) for x in self.parameters)
         self.reciprocal_scale = 1.0 / loss_scale
-        self.weight_decay = weight_decay * loss_scale
-        self.decay_flags = tuple(decay_filter(x) for x in self.parameters)
-
-        if not self.parameters:
-            raise ValueError("optimizer got an empty parameter list.")
+        self.exec_weight_decay = any(self.decay_flags)
+        self.param_length = len(self.parameters)
 
     def decay_weight(self, gradients):
         """
@@ -118,9 +145,15 @@ class Optimizer(Cell):
         Returns:
             tuple[Tensor], The gradients after weight decay.
         """
-        if self.weight_decay > 0:
-            params = self.parameters
-            gradients = self.hyper_map(F.partial(apply_decay, self.weight_decay), self.decay_flags, params, gradients)
+        params = self.parameters
+        if self.is_group:
+            if self.exec_weight_decay:
+                gradients = self.hyper_map(F.partial(apply_decay), self.weight_decay, self.decay_flags,
+                                           params, gradients)
+        else:
+            if self.weight_decay > 0:
+                gradients = self.hyper_map(F.partial(apply_decay, self.weight_decay), self.decay_flags,
+                                           params, gradients)
 
         return gradients
 
@@ -144,6 +177,83 @@ class Optimizer(Cell):
 
         return gradients
 
+    def _get_single_lr(self, learning_rate):
+        """Get learning rate in Tensor type."""
+        if isinstance(learning_rate, float):
+            validator.check_number_range("learning rate", learning_rate, 0.0, float("inf"), Rel.INC_LEFT, self.cls_name)
+            lr = Tensor(learning_rate, mstype.float32)
+        elif isinstance(learning_rate, Iterable):
+            lr = Tensor(np.array(list(learning_rate)).astype(np.float32))
+        elif isinstance(learning_rate, Tensor):
+            if learning_rate.dim() > 1:
+                raise ValueError("Learning rate should be a 0 or 1 dim `Tensor`,"
+                                 f"but got {learning_rate.dim()}.")
+            if learning_rate.dim() == 1 and learning_rate.size() < 2:
+                logger.warning("If want to use the dynamic learning rate, please make sure that the number "
+                               "of elements in the list, tuple or tensor passed is greater than 1.")
+            lr = learning_rate
+        else:
+            raise TypeError("Learning rate should be float, Tensor or Iterable.")
+        return lr
+
+    def _init_group_params(self, parameters, learning_rate, weight_decay):
+        """Init learning rate or weight decay in group params."""
+        origin_dynamic_lr = self.dynamic_lr
+        if self.dynamic_lr:
+            dynamic_lr_length = learning_rate.size()
+        else:
+            dynamic_lr_length = 0
+
+        for group_param in parameters:
+            lr_length = dynamic_lr_length
+            if 'lr' in group_param.keys():
+                self._get_single_lr(group_param['lr'])
+                if isinstance(group_param['lr'], Iterable):
+                    lr_length = len(group_param['lr'])
+                    self.dynamic_lr = True
+                elif isinstance(group_param['lr'], Tensor):
+                    lr_length = group_param['lr'].size()
+                    self.dynamic_lr = True
+            if dynamic_lr_length not in (lr_length, 0):
+                raise ValueError("The dynamic learning rate in group should be the same size.")
+            dynamic_lr_length = lr_length
+
+        if self.dynamic_lr and not origin_dynamic_lr:
+            self.gather = P.GatherV2()
+            self.assignadd = P.AssignAdd()
+            self.global_step = Parameter(initializer(0, [1], mindspore.int32), name='global_step')
+
+        params_store = []
+        for group_param in parameters:
+            self.params += group_param['params']
+            if 'lr' in group_param.keys():
+                params_dynamic_lr = isinstance(group_param['lr'], (Iterable, Tensor))
+
+                if self.dynamic_lr and not params_dynamic_lr:
+                    lr = Tensor(np.array([group_param['lr']] * dynamic_lr_length).astype(np.float32))
+                else:
+                    lr = self._get_single_lr(group_param['lr'])
+            else:
+                if self.dynamic_lr and not origin_dynamic_lr:
+                    lr = Tensor(np.array([self.scalar_lr] * dynamic_lr_length).astype(np.float32))
+                else:
+                    lr = learning_rate
+
+            if 'weight_decay' in group_param.keys():
+                validator.check_float_legal_value('weight_decay', group_param['weight_decay'], None)
+                validator.check_number_range('weight_decay', group_param['weight_decay'], 0.0, float("inf"),
+                                             Rel.INC_LEFT, self.cls_name)
+                weight_decay_ = group_param['weight_decay'] * self.loss_scale
+            else:
+                weight_decay_ = weight_decay * self.loss_scale
+
+            for param in group_param['params']:
+                if param in params_store:
+                    raise RuntimeError(f"The {param.name} parameter has appeared in parameter groups.")
+                params_store.append(param)
+                self.group_lr.append(Parameter(lr, name="lr_" + param.name))
+                self.group_weight_decay.append(weight_decay_)
+
     def get_lr(self):
         """
         Get the learning rate of current step.
@@ -151,11 +261,20 @@ class Optimizer(Cell):
         Returns:
             float, the learning rate of current step.
         """
-        lr = self.learning_rate
-        if self.dynamic_lr:
-            lr = self.gather(self.learning_rate, self.global_step, 0)
-            F.control_depend(lr, self.assignadd(self.global_step, 1))
+        if self.is_group:
+            lr = self.learning_rate
+            if self.dynamic_lr:
+                lr = ()
+                for i in range(self.param_length):
+                    current_dynamic_lr = self.gather(self.learning_rate[i], self.global_step, 0)
+                    lr += (current_dynamic_lr,)
+                F.control_depend(lr, self.assignadd(self.global_step, 1))
 
+        else:
+            lr = self.learning_rate
+            if self.dynamic_lr:
+                lr = self.gather(self.learning_rate, self.global_step, 0)
+                F.control_depend(lr, self.assignadd(self.global_step, 1))
         return lr
 
     def construct(self, *hyper_params):
diff --git a/mindspore/nn/optim/rmsprop.py b/mindspore/nn/optim/rmsprop.py
index b1271587b4ac98a748338ee9b14a25c20cd9714a..b96d9499b2a6599092caafe21c641972a05c35a4 100644
--- a/mindspore/nn/optim/rmsprop.py
+++ b/mindspore/nn/optim/rmsprop.py
@@ -22,17 +22,17 @@ rmsprop_opt = C.MultitypeFuncGraph("rmsprop_opt")
 centered_rmsprop_opt = C.MultitypeFuncGraph("rmsprop_opt")
 
 
-@rmsprop_opt.register("Function", "Tensor", "Number", "Number", "Number", "Tensor", "Tensor", "Tensor", "Tensor")
-def _rmsprop_opt(opt, learning_rate, decay, epsilon, momentum, weight, ms, mom, grad):
+@rmsprop_opt.register("Function", "Number", "Number", "Number", "Tensor", "Tensor", "Tensor", "Tensor", "Tensor")
+def _rmsprop_opt(opt, decay, epsilon, momentum, learning_rate, weight, ms, mom, grad):
     """Apply rmsprop optimizer to the weight parameter using dynamic learning rate."""
     success = True
     success = F.depend(success, opt(weight, ms, mom, grad, learning_rate, decay, momentum, epsilon))
     return success
 
 
-@centered_rmsprop_opt.register("Function", "Tensor", "Number", "Number", "Number", "Tensor", "Tensor", "Tensor",
+@centered_rmsprop_opt.register("Function", "Number", "Number", "Number", "Tensor", "Tensor", "Tensor", "Tensor",
                                "Tensor", "Tensor")
-def _centered_rmsprop_opt(opt, learning_rate, decay, epsilon, momentum, weight, mg, ms, mom, grad):
+def _centered_rmsprop_opt(opt, decay, epsilon, momentum, learning_rate, weight, mg, ms, mom, grad):
     """Apply centered rmsprop optimizer to the weight parameter using dynamic learning rate."""
     success = True
     success = F.depend(success, opt(weight, mg, ms, mom, grad, learning_rate, decay, momentum, epsilon))
@@ -44,6 +44,13 @@ class RMSProp(Optimizer):
     Implements Root Mean Squared Propagation (RMSProp) algorithm.
 
     Note:
+        The RMSProp optimizer supports separating parameter groups. Different parameter groups can set different
+        `learning_rate` and `weight_decay`.
+
+        When separating parameter groups, the weight decay in each group will be applied on the parameters if the
+        value of weight_decay > 0. When not separating parameter groups, the `weight_decay` in the API will be
+        applied on the parameters if `weight_decay` > 0 and the 'beta' and 'gamma' are not in the name of parameters.
+
         Update `params` according to the RMSProp algorithm.
 
         The equation is as follows:
@@ -84,8 +91,18 @@ class RMSProp(Optimizer):
         represents `gradients`.
 
     Args:
-        params (list[Parameter]): A list of parameter, which will be updated. The element in `parameters`
-                                  should be class mindspore.Parameter.
+        params (Union[list[Parameter], list[dict]]): When the `params` is a list of `Parameter` which will be updated,
+            the element in `params` should be class `Parameter`. When the `params` is a list of `dict`, the "params",
+            "lr" and "weight_decay" are the keys can be parsed.
+
+            - params: Required. The value should be a list of `Parameter`.
+
+            - lr: Optional. If "lr" in the keys, the value of corresponding learning rate will be used.
+              If not, the `learning_rate` in the API will be used.
+
+            - weight_decay: Optional. If "weight_decay" in the keys, the value of corresponding weight decay
+              will be used. If not, the `weight_decay` in the API will be used.
+
         learning_rate (Union[float, Tensor, Iterable]): A value for the learning rate. When the learning_rate is
                                                         Iterable or a Tensor and the dims of the Tensor is 1,
                                                         use dynamic learning rate, then the i-th step will
@@ -95,15 +112,13 @@ class RMSProp(Optimizer):
                                                         Other cases are not supported. Default: 0.1.
         decay (float): Decay rate. Should be equal to or greater than 0. Default: 0.9.
         momentum (float): Hyperparameter of type float, means momentum for the moving average. Should be equal to or
-                          greater than 0.Default: 0.0.
+                          greater than 0. Default: 0.0.
         epsilon (float): Term added to the denominator to improve numerical stability. Should be greater than
                          0. Default: 1e-10.
         use_locking (bool): Enable a lock to protect the update of variable and accumlation tensors. Default: False.
         centered (bool): If True, gradients are normalized by the estimated variance of the gradient. Default: False.
         loss_scale (float): A floating point value for the loss scale. Should be greater than 0. Default: 1.0.
         weight_decay (float): Weight decay (L2 penalty). Should be equal to or greater than 0. Default: 0.0.
-        decay_filter (Function): A function to determine whether to apply weight decay on parameters. Default:
-                                 lambda x: 'beta' not in x.name and 'gamma' not in x.name.
 
     Inputs:
         - **gradients** (tuple[Tensor]) - The gradients of `params`, the shape is the same as `params`.
@@ -113,14 +128,25 @@ class RMSProp(Optimizer):
 
     Examples:
         >>> net = Net()
+        >>> #1) All parameters use the same learning rate and weight decay
+        >>> optim = nn.RMSProp(params=net.trainable_params(), learning_rate=lr)
+        >>>
+        >>> #2) Use parameter groups and set different values
+        >>> conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+        >>> no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+        >>> group_params = [{'params': conv_params, 'weight_decay': 0.01, 'lr': 0.01},
+        >>>                 {'params': no_conv_params}]
+        >>> opt = nn.RMSProp(group_params, learning_rate=0.1, weight_decay=0.0)
+        >>> # the conv_params's parameters will use a learning rate of 0.01 and a weight decay of 0.01
+        >>> # the no_cov_params's parameters don't set learning and weight decay. So they will use a
+        >>> # learning rate of 0.1 and a weight decay of 0.0.
+        >>>
         >>> loss = nn.SoftmaxCrossEntropyWithLogits()
-        >>> opt = nn.RMSProp(params=net.trainable_params(), learning_rate=lr)
-        >>> model = Model(net, loss, opt)
+        >>> model = Model(net, loss_fn=loss, optimizer=optim)
     """
     def __init__(self, params, learning_rate=0.1, decay=0.9, momentum=0.0, epsilon=1e-10,
-                 use_locking=False, centered=False, loss_scale=1.0, weight_decay=0.0,
-                 decay_filter=lambda x: 'beta' not in x.name and 'gamma' not in x.name):
-        super(RMSProp, self).__init__(learning_rate, params, weight_decay, loss_scale, decay_filter)
+                 use_locking=False, centered=False, loss_scale=1.0, weight_decay=0.0):
+        super(RMSProp, self).__init__(learning_rate, params, weight_decay, loss_scale)
         validator.check_value_type("decay", decay, [float], self.cls_name)
         validator.check_number_range("decay", decay, 0.0, float("inf"), Rel.INC_LEFT, self.cls_name)
         validator.check_value_type("momentum", momentum, [float], self.cls_name)
@@ -150,9 +176,18 @@ class RMSProp(Optimizer):
         gradients = self.scale_grad(gradients)
         lr = self.get_lr()
         if self.centered:
-            success = self.hyper_map(F.partial(centered_rmsprop_opt, self.opt, lr, self.decay, self.epsilon,
-                                               self.momentum), params, self.mg, self.ms, self.moment, gradients)
+            if self.is_group:
+                success = self.hyper_map(F.partial(centered_rmsprop_opt, self.opt, self.decay, self.epsilon,
+                                                   self.momentum), lr, params, self.mg, self.ms, self.moment, gradients)
+            else:
+                success = self.hyper_map(F.partial(centered_rmsprop_opt, self.opt, self.decay, self.epsilon,
+                                                   self.momentum, lr), params, self.mg, self.ms, self.moment, gradients)
+
         else:
-            success = self.hyper_map(F.partial(rmsprop_opt, self.opt, lr, self.decay, self.epsilon,
-                                               self.momentum), params, self.ms, self.moment, gradients)
+            if self.is_group:
+                success = self.hyper_map(F.partial(rmsprop_opt, self.opt, self.decay, self.epsilon,
+                                                   self.momentum), lr, params, self.ms, self.moment, gradients)
+            else:
+                success = self.hyper_map(F.partial(rmsprop_opt, self.opt, self.decay, self.epsilon,
+                                                   self.momentum, lr), params, self.ms, self.moment, gradients)
         return success
diff --git a/mindspore/nn/optim/sgd.py b/mindspore/nn/optim/sgd.py
index 388fe5db4780a146cbcae6012cc46ca10ff50bd6..0db58af8556210e60da296368e2c5ab055dbd690 100755
--- a/mindspore/nn/optim/sgd.py
+++ b/mindspore/nn/optim/sgd.py
@@ -24,7 +24,7 @@ sgd_opt = C.MultitypeFuncGraph("sgd_opt")
 
 
 @sgd_opt.register("Function", "Tensor", "Tensor", "Tensor", "Tensor", "Tensor", "Tensor")
-def _tensor_run_opt_ext(opt, learning_rate, momentum, gradient, weight, accum, stat):
+def _tensor_run_opt_ext(opt, momentum, learning_rate, gradient, weight, accum, stat):
     """Apply sgd optimizer to the weight parameter using Tensor."""
     success = True
     success = F.depend(success, opt(weight, gradient, learning_rate, accum, momentum, stat))
@@ -39,9 +39,27 @@ class SGD(Optimizer):
     Nesterov momentum is based on the formula from paper `On the importance of initialization and
     momentum in deep learning <http://proceedings.mlr.press/v28/sutskever13.html>`_.
 
+    Note:
+        The SGD optimizer supports separating parameter groups. Different parameter groups can set different
+        `learning_rate` and `weight_decay`.
+
+        When separating parameter groups, the weight decay in each group will be applied on the parameters if the
+        value of weight_decay > 0. When not separating parameter groups, the `weight_decay` in the API will be
+        applied on the parameters if `weight_decay` > 0 and the 'beta' and 'gamma' are not in the name of parameters.
+
     Args:
-        params (list[Parameter]): A list of parameter, which will be updated. The element in `params`
-                                  should be class mindspore.Parameter.
+        params (Union[list[Parameter], list[dict]]): When the `params` is a list of `Parameter` which will be updated,
+            the element in `params` should be class `Parameter`. When the `params` is a list of `dict`, the "params",
+            "lr" and "weight_decay" are the keys can be parsed.
+
+            - params: Required. The value should be a list of `Parameter`.
+
+            - lr: Optional. If "lr" in the keys, the value of corresponding learning rate will be used.
+              If not, the `learning_rate` in the API will be used.
+
+            - weight_decay: Optional. If "weight_decay" in the keys, the value of corresponding weight decay
+              will be used. If not, the `weight_decay` in the API will be used.
+
         learning_rate (Union[float, Tensor, Iterable]): A value for the learning rate. When the learning_rate is
                                                         Iterable or a Tensor and the dims of the Tensor is 1,
                                                         use dynamic learning rate, then the i-th step will
@@ -67,9 +85,21 @@ class SGD(Optimizer):
 
     Examples:
         >>> net = Net()
-        >>> loss = nn.SoftmaxCrossEntropyWithLogits()
+        >>> #1) All parameters use the same learning rate and weight decay
         >>> optim = nn.SGD(params=net.trainable_params())
-        >>> model = Model(net, loss_fn=loss, optimizer=optim, metrics=None)
+        >>>
+        >>> #2) Use parameter groups and set different values
+        >>> conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+        >>> no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+        >>> group_params = [{'params': conv_params, 'weight_decay': 0.01, 'lr': 0.01},
+        >>>                 {'params': no_conv_params}]
+        >>> opt = nn.SGD(group_params, learning_rate=0.1, weight_decay=0.0)
+        >>> # the conv_params's parameters will use a learning rate of 0.01 and a weight decay of 0.01
+        >>> # the no_cov_params's parameters don't set learning and weight decay. So they will use a
+        >>> # learning rate of 0.1 and a weight decay of 0.0.
+        >>>
+        >>> loss = nn.SoftmaxCrossEntropyWithLogits()
+        >>> model = Model(net, loss_fn=loss, optimizer=optim)
     """
     def __init__(self, params, learning_rate=0.1, momentum=0.0, dampening=0.0, weight_decay=0.0, nesterov=False,
                  loss_scale=1.0):
@@ -109,5 +139,8 @@ class SGD(Optimizer):
         gradients = self.decay_weight(gradients)
         gradients = self.scale_grad(gradients)
         lr = self.get_lr()
-        success = self.hyper_map(F.partial(sgd_opt, self.opt, lr, self.momentum), gradients, params, accum, stat)
+        if self.is_group:
+            success = self.hyper_map(F.partial(sgd_opt, self.opt, self.momentum), lr, gradients, params, accum, stat)
+        else:
+            success = self.hyper_map(F.partial(sgd_opt, self.opt, self.momentum, lr), gradients, params, accum, stat)
         return success
diff --git a/mindspore/nn/wrap/cell_wrapper.py b/mindspore/nn/wrap/cell_wrapper.py
index 60718ec2b112ecde40f8fa6306643d9bbd1b5818..499d85b34b976938b207666c049231476373ae97 100644
--- a/mindspore/nn/wrap/cell_wrapper.py
+++ b/mindspore/nn/wrap/cell_wrapper.py
@@ -167,7 +167,7 @@ class TrainOneStepCell(Cell):
         super(TrainOneStepCell, self).__init__(auto_prefix=False)
         self.network = network
         self.network.add_flags(defer_inline=True)
-        self.weights = ParameterTuple(network.trainable_params())
+        self.weights = optimizer.parameters
         self.optimizer = optimizer
         self.grad = C.GradOperation('grad', get_by_list=True, sens_param=True)
         self.sens = sens
diff --git a/tests/ut/python/nn/optim/test_adam.py b/tests/ut/python/nn/optim/test_adam.py
index d9321b1d2667c6dac871c5612d7228d19233835f..269f276376e6d17a7828e9807366c1dbc64dd573 100644
--- a/tests/ut/python/nn/optim/test_adam.py
+++ b/tests/ut/python/nn/optim/test_adam.py
@@ -50,7 +50,7 @@ class NetWithoutWeight(nn.Cell):
 def test_adamwithoutparam():
     net = NetWithoutWeight()
     net.set_train()
-    with pytest.raises(ValueError, match=r"optimizer got an empty parameter list"):
+    with pytest.raises(ValueError, match=r"Optimizer got an empty parameter list"):
         AdamWeightDecay(net.trainable_params(), learning_rate=0.1)
 
 
@@ -104,5 +104,5 @@ def test_AdamWeightDecayDynamicLR():
 
 def test_adam_mindspore_flatten():
     net = nn.Flatten()
-    with pytest.raises(ValueError, match=r"optimizer got an empty parameter list"):
+    with pytest.raises(ValueError, match=r"Optimizer got an empty parameter list"):
         AdamWeightDecay(net.get_parameters())
diff --git a/tests/ut/python/nn/optim/test_optimizer.py b/tests/ut/python/nn/optim/test_optimizer.py
index 89fb1d812b413691033b909e806da007d418cf2e..9f1ec9a36f0be81afbbe4539ab07e6afb1245238 100644
--- a/tests/ut/python/nn/optim/test_optimizer.py
+++ b/tests/ut/python/nn/optim/test_optimizer.py
@@ -69,19 +69,19 @@ class TestSGD():
 class TestNullParam():
     """ TestNullParam definition """
     def test_optim_init(self):
-        with pytest.raises(TypeError):
+        with pytest.raises(ValueError):
             Optimizer(0.1, None)
 
     def test_AdamWightDecay_init(self):
-        with pytest.raises(TypeError):
+        with pytest.raises(ValueError):
             AdamWeightDecay(None)
 
     def test_AdamWeightDecayDynamicLR_init(self):
-        with pytest.raises(TypeError):
+        with pytest.raises(ValueError):
             AdamWeightDecayDynamicLR(None, 10)
 
     def test_Sgd_init(self):
-        with pytest.raises(TypeError):
+        with pytest.raises(ValueError):
             SGD(None)
 
 class TestUnsupportParam():
diff --git a/tests/ut/python/optimizer/test_optimize_with_parameter_groups.py b/tests/ut/python/optimizer/test_optimize_with_parameter_groups.py
new file mode 100644
index 0000000000000000000000000000000000000000..8dd98990fa8188e60557c9270fa96639ad51a1de
--- /dev/null
+++ b/tests/ut/python/optimizer/test_optimize_with_parameter_groups.py
@@ -0,0 +1,210 @@
+# Copyright 2020 Huawei Technologies Co., Ltd
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+# ============================================================================
+import numpy as np
+import pytest
+import mindspore.common.dtype as mstype
+import mindspore.nn as nn
+from mindspore.nn.optim import Momentum, SGD, RMSProp, Adam
+from mindspore import context
+from mindspore.common.api import _executor
+from mindspore.common.tensor import Tensor
+from mindspore.ops import operations as P
+from mindspore.nn import TrainOneStepCell, WithLossCell
+
+context.set_context(mode=context.GRAPH_MODE)
+
+
+class LeNet5(nn.Cell):
+    """ LeNet5 definition """
+    def __init__(self):
+        super(LeNet5, self).__init__()
+        self.conv1 = nn.Conv2d(1, 6, 5, pad_mode='valid')
+        self.conv2 = nn.Conv2d(6, 16, 5, pad_mode='valid')
+        self.fc1 = nn.Dense(16 * 5 * 5, 120)
+        self.fc2 = nn.Dense(120, 84)
+        self.fc3 = nn.Dense(84, 10)
+        self.relu = nn.ReLU()
+        self.max_pool2d = nn.MaxPool2d(kernel_size=2, stride=2)
+        self.flatten = P.Flatten()
+
+    def construct(self, x):
+        x = self.max_pool2d(self.relu(self.conv1(x)))
+        x = self.max_pool2d(self.relu(self.conv2(x)))
+        x = self.flatten(x)
+        x = self.relu(self.fc1(x))
+        x = self.relu(self.fc2(x))
+        x = self.fc3(x)
+        return x
+
+
+def test_group_lr():
+    inputs = Tensor(np.ones([1, 1, 32, 32]).astype(np.float32) * 0.01)
+    label = Tensor(np.ones([1, 10]).astype(np.float32))
+
+    net = LeNet5()
+    conv_lr = 0.8
+    default_lr = 0.1
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'lr': conv_lr},
+                    {'params': no_conv_params}]
+    net.set_train()
+    loss = nn.SoftmaxCrossEntropyWithLogits()
+
+    opt = Momentum(group_params, learning_rate=default_lr, momentum=0.9)
+    assert opt.is_group is True
+    assert opt.dynamic_lr is False
+    for lr, param in zip(opt.learning_rate, opt.parameters):
+        if param in conv_params:
+            assert lr.data == Tensor(conv_lr, mstype.float32)
+        else:
+            assert lr.data == Tensor(default_lr, mstype.float32)
+
+    net_with_loss = WithLossCell(net, loss)
+    train_network = TrainOneStepCell(net_with_loss, opt)
+    _executor.compile(train_network, inputs, label)
+
+
+def test_group_dynamic_1():
+    inputs = Tensor(np.ones([1, 1, 32, 32]).astype(np.float32) * 0.01)
+    label = Tensor(np.ones([1, 10]).astype(np.float32))
+
+    net = LeNet5()
+    conv_lr = 0.8
+    default_lr = (0.1, 0.2, 0.3)
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'lr': conv_lr},
+                    {'params': no_conv_params}]
+    net.set_train()
+    loss = nn.SoftmaxCrossEntropyWithLogits()
+
+    opt = Momentum(group_params, learning_rate=default_lr, momentum=0.9)
+    assert opt.is_group is True
+    assert opt.dynamic_lr is True
+    for lr, param in zip(opt.learning_rate, opt.parameters):
+        if param in conv_params:
+            assert lr.data == Tensor(np.array([conv_lr] * 3).astype(np.float32))
+        else:
+            assert lr.data == Tensor(np.array(list(default_lr)).astype(np.float32))
+
+    net_with_loss = WithLossCell(net, loss)
+    train_network = TrainOneStepCell(net_with_loss, opt)
+    _executor.compile(train_network, inputs, label)
+
+
+def test_group_dynamic_2():
+    inputs = Tensor(np.ones([1, 1, 32, 32]).astype(np.float32) * 0.01)
+    label = Tensor(np.ones([1, 10]).astype(np.float32))
+
+    net = LeNet5()
+    conv_lr = (0.1, 0.2, 0.3)
+    default_lr = 0.8
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'lr': conv_lr},
+                    {'params': no_conv_params}]
+    net.set_train()
+    loss = nn.SoftmaxCrossEntropyWithLogits()
+
+    opt = RMSProp(group_params, learning_rate=default_lr)
+    assert opt.is_group is True
+    assert opt.dynamic_lr is True
+    for lr, param in zip(opt.learning_rate, opt.parameters):
+        if param in conv_params:
+            assert lr.data == Tensor(np.array(list(conv_lr)).astype(np.float32))
+        else:
+            assert lr.data == Tensor(np.array([default_lr] * 3).astype(np.float32))
+
+    net_with_loss = WithLossCell(net, loss)
+    train_network = TrainOneStepCell(net_with_loss, opt)
+    _executor.compile(train_network, inputs, label)
+
+
+def test_group_dynamic_no_same_size():
+    net = LeNet5()
+    conv_lr = (0.1, 0.2, 0.3)
+    default_lr = (0.1, 0.2)
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'lr': conv_lr},
+                    {'params': no_conv_params}]
+    with pytest.raises(ValueError):
+        Momentum(group_params, learning_rate=default_lr, momentum=0.9)
+
+
+def test_group_not_float_lr():
+    net = LeNet5()
+    conv_lr = 1
+    default_lr = 0.3
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'lr': conv_lr},
+                    {'params': no_conv_params}]
+    with pytest.raises(TypeError):
+        Momentum(group_params, learning_rate=default_lr, momentum=0.9)
+
+
+def test_group_not_float_weight_decay():
+    net = LeNet5()
+    conv_weight_decay = 1
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'weight_decay': conv_weight_decay},
+                    {'params': no_conv_params}]
+    with pytest.raises(TypeError):
+        Momentum(group_params, learning_rate=0.1, momentum=0.9)
+
+
+def test_weight_decay():
+    inputs = Tensor(np.ones([1, 1, 32, 32]).astype(np.float32) * 0.01)
+    label = Tensor(np.ones([1, 10]).astype(np.float32))
+
+    net = LeNet5()
+    conv_weight_decay = 0.8
+    default_weight_decay = 0.0
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'weight_decay': conv_weight_decay},
+                    {'params': no_conv_params}]
+    net.set_train()
+    loss = nn.SoftmaxCrossEntropyWithLogits()
+
+    opt = SGD(group_params, learning_rate=0.1, weight_decay=default_weight_decay)
+    assert opt.is_group is True
+    for weight_decay, decay_flags, param in zip(opt.weight_decay, opt.decay_flags, opt.parameters):
+        if param in conv_params:
+            assert weight_decay == conv_weight_decay
+            assert decay_flags is True
+        else:
+            assert weight_decay == default_weight_decay
+            assert decay_flags is False
+
+    net_with_loss = WithLossCell(net, loss)
+    train_network = TrainOneStepCell(net_with_loss, opt)
+    _executor.compile(train_network, inputs, label)
+
+
+def test_group_repeat_param():
+    net = LeNet5()
+    conv_lr = 0.1
+    default_lr = 0.3
+    conv_params = list(filter(lambda x: 'conv' in x.name, net.trainable_params()))
+    no_conv_params = list(filter(lambda x: 'conv' not in x.name, net.trainable_params()))
+    group_params = [{'params': conv_params, 'lr': conv_lr},
+                    {'params': conv_params, 'lr': default_lr},
+                    {'params': no_conv_params}]
+    with pytest.raises(RuntimeError):
+        Adam(group_params, learning_rate=default_lr)