diff --git a/python/paddle/fluid/param_attr.py b/python/paddle/fluid/param_attr.py
index a45443632b04835bc8f3b3f2f167433c7a8b49d4..8e0470bededd4fdb8aec03893590bdba35bbb364 100644
--- a/python/paddle/fluid/param_attr.py
+++ b/python/paddle/fluid/param_attr.py
@@ -204,6 +204,9 @@ class WeightNormParamAttr(ParamAttr):
     """
 	:api_attr: Static Graph
 
+    Note:
+        Please use 'paddle.nn.utils.weight_norm' in dygraph mode.
+
     Parameter of weight Norm. Weight Norm is a reparameterization of the weight vectors
     in a neural network that decouples the magnitude of those weight vectors from
     their direction. Weight Norm has been implemented as discussed in this
@@ -216,6 +219,7 @@ class WeightNormParamAttr(ParamAttr):
         It is recommended to use ``minimize(loss, grad_clip=clip)`` to clip gradient. 
         There are three clipping strategies: :ref:`api_fluid_clip_GradientClipByGlobalNorm` , 
         :ref:`api_fluid_clip_GradientClipByNorm` , :ref:`api_fluid_clip_GradientClipByValue` .
+        
 
     Args:
         dim(int): Dimension over which to compute the norm. Dim is a non-negative
diff --git a/python/paddle/fluid/tests/unittests/test_dygraph_weight_norm.py b/python/paddle/fluid/tests/unittests/test_dygraph_weight_norm.py
new file mode 100644
index 0000000000000000000000000000000000000000..f33334d536d14970475bf8674b3f38b855b22f88
--- /dev/null
+++ b/python/paddle/fluid/tests/unittests/test_dygraph_weight_norm.py
@@ -0,0 +1,183 @@
+#   Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
+#
+# 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.
+
+from __future__ import print_function
+
+import unittest
+import numpy
+import collections
+from functools import reduce
+import paddle
+import paddle.fluid as fluid
+import paddle.fluid.core as core
+from paddle.nn.utils import weight_norm, remove_weight_norm
+
+
+class TestDygraphWeightNorm(unittest.TestCase):
+    def setUp(self):
+        self.init_test_case()
+        self.set_data()
+
+    def init_test_case(self):
+        self.batch_size = 3
+        self.data_desc = (['x', [2, 3, 3]], )
+        self.dim = None
+
+    def set_data(self):
+        self.data = collections.OrderedDict()
+        for desc in self.data_desc:
+            data_name = desc[0]
+            data_shape = desc[1]
+            data_value = numpy.random.random(
+                size=[self.batch_size] + data_shape).astype('float32')
+            self.data[data_name] = data_value
+
+    def norm_except_dim(self, w, dim=None):
+        shape = w.shape
+        ndims = len(shape)
+        shape_numel = reduce(lambda x, y: x * y, shape)
+        if dim == -1:
+            return numpy.linalg.norm(w, axis=None, keepdims=True)
+        elif dim == 0:
+            tile_shape = list(w.shape)
+            tile_shape[0] = 1
+            w_matrix = numpy.reshape(w, (shape[0], shape_numel // shape[0]))
+            return numpy.linalg.norm(w_matrix, axis=1, keepdims=True)
+        elif dim == (ndims - 1):
+            w_matrix = numpy.reshape(w, (shape_numel // shape[-1], shape[-1]))
+            return numpy.linalg.norm(w_matrix, axis=0, keepdims=True)
+        else:
+            perm = list(range(ndims))
+            perm_ori = list(range(ndims))
+            perm[0] = dim
+            perm[dim] = 0
+            p_transposed = numpy.transpose(w, perm)
+            return self.norm_except_dim(p_transposed, 0)
+
+    def weight_normalize(self, w, dim=None):
+        shape = w.shape
+        ndims = len(shape)
+        shape_numel = reduce(lambda x, y: x * y, shape)
+        v = w
+        g = self.norm_except_dim(w, dim)
+        g_mul = g
+
+        if dim == -1:
+            v_norm = v / (numpy.linalg.norm(v, axis=None, keepdims=True))
+        elif dim == 0:
+            w_matrix = numpy.reshape(w, (shape[0], shape_numel // shape[0]))
+            v_norm = v / numpy.linalg.norm(w_matrix, axis=1)
+            v_norm = numpy.reshape(v_norm, shape)
+            g = numpy.squeeze(g, axis=1)
+        elif dim == (ndims - 1):
+            w_matrix = numpy.reshape(w, (shape_numel // shape[-1], shape[-1]))
+            v_norm = v / numpy.linalg.norm(w_matrix, axis=0, keepdims=True)
+            v_norm = numpy.reshape(v_norm, shape)
+        else:
+            perm = list(range(ndims))
+            perm[0] = dim
+            perm[dim] = 0
+            p_transposed = numpy.transpose(v, perm)
+            transposed_shape = p_transposed.shape
+            transposed_shape_numel = reduce(lambda x, y: x * y,
+                                            transposed_shape)
+            p_matrix = numpy.reshape(
+                p_transposed, (p_transposed.shape[0],
+                               transposed_shape_numel // p_transposed.shape[0]))
+            v_norm = v / numpy.expand_dims(
+                numpy.expand_dims(
+                    numpy.linalg.norm(
+                        p_matrix, axis=1, keepdims=True), axis=0),
+                axis=(ndims - 1))
+            v_norm = numpy.reshape(v_norm, transposed_shape)
+            v_norm = numpy.transpose(v_norm, perm)
+            g = numpy.squeeze(g, axis=1)
+            if dim == 1:
+                eaxis = 2
+            elif dim == 2:
+                eaxis = 1
+            g_mul = numpy.expand_dims(
+                numpy.expand_dims(
+                    numpy.expand_dims(
+                        g, axis=0), axis=eaxis),
+                axis=(ndims - 1))
+        w = g_mul * v_norm
+        return g, v
+
+    def test_check_output(self):
+        fluid.enable_imperative()
+        linear = paddle.nn.Conv2D(2, 3, 3)
+        before_weight = linear.weight.numpy()
+        if self.dim == None:
+            self.dim = -1
+        wn = weight_norm(linear, dim=self.dim)
+        outputs = []
+        for name, data in self.data.items():
+            output = linear(fluid.dygraph.to_variable(data))
+            outputs.append(output.numpy())
+        after_weight = linear.weight
+        self.actual_outputs = [linear.weight_g.numpy(), linear.weight_v.numpy()]
+
+        expect_output = self.weight_normalize(before_weight, self.dim)
+
+        for expect, actual in zip(expect_output, self.actual_outputs):
+            self.assertTrue(
+                numpy.allclose(
+                    numpy.array(actual), expect, atol=0.001))
+
+
+class TestDygraphWeightNormCase1(TestDygraphWeightNorm):
+    def init_test_case(self):
+        self.batch_size = 3
+        self.data_desc = (['x', [2, 3, 3]], )
+        self.dim = 0
+
+
+class TestDygraphWeightNormCase2(TestDygraphWeightNorm):
+    def init_test_case(self):
+        self.batch_size = 3
+        self.data_desc = (['x', [2, 3, 3]], )
+        self.dim = 1
+
+
+class TestDygraphWeightNormCase3(TestDygraphWeightNorm):
+    def init_test_case(self):
+        self.batch_size = 3
+        self.data_desc = (['x', [2, 3, 3]], )
+        self.dim = 3
+
+
+class TestDygraphRemoveWeightNorm(unittest.TestCase):
+    def setUp(self):
+        self.init_test_case()
+
+    def init_test_case(self):
+        self.batch_size = 3
+        self.data_desc = (['x', [2, 3, 3]], )
+        self.dim = None
+
+    def test_check_output(self):
+        fluid.enable_imperative()
+        linear = paddle.nn.Conv2D(2, 3, 3)
+        before_weight = linear.weight
+        wn = weight_norm(linear, dim=self.dim)
+        rwn = remove_weight_norm(linear)
+        after_weight = linear.weight
+        self.assertTrue(
+            numpy.allclose(
+                before_weight.numpy(), after_weight.numpy(), atol=0.001))
+
+
+if __name__ == '__main__':
+    unittest.main()
diff --git a/python/paddle/nn/__init__.py b/python/paddle/nn/__init__.py
index 72a9f8d5c934b43ec8807de14aad0bb70f78ad55..3b75629ede98a1a677e32e5c9dda7aac2348bb15 100644
--- a/python/paddle/nn/__init__.py
+++ b/python/paddle/nn/__init__.py
@@ -18,6 +18,7 @@
 from .layer import norm
 from .functional import extension
 from .layer import common
+from .utils import weight_norm_hook
 
 from . import initializer
 
@@ -25,6 +26,7 @@ __all__ = []
 __all__ += norm.__all__
 __all__ += extension.__all__
 __all__ += common.__all__
+__all__ += weight_norm_hook.__all__
 
 # TODO: define alias in nn directory
 # from .clip import ErrorClipByValue        #DEFINE_ALIAS
diff --git a/python/paddle/nn/utils/__init__.py b/python/paddle/nn/utils/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..6562ac35e1e3180db671f90188f1304f07864189
--- /dev/null
+++ b/python/paddle/nn/utils/__init__.py
@@ -0,0 +1,16 @@
+#   Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
+#
+# 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.
+
+from . import weight_norm_hook
+from .weight_norm_hook import weight_norm, remove_weight_norm
diff --git a/python/paddle/nn/utils/weight_norm_hook.py b/python/paddle/nn/utils/weight_norm_hook.py
new file mode 100644
index 0000000000000000000000000000000000000000..ad53bf394660f3a7e0e48fdbd5eb530abd0852bb
--- /dev/null
+++ b/python/paddle/nn/utils/weight_norm_hook.py
@@ -0,0 +1,225 @@
+# Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
+#
+# 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
+from ... import fluid
+from ...fluid import dygraph
+from ...fluid import layers as F
+from ...fluid.layer_helper import LayerHelper
+from ...fluid.data_feeder import check_variable_and_dtype
+from ...tensor.math import multiply
+
+__all__ = ['weight_norm', 'remove_weight_norm']
+
+
+def l2_norm(x, axis, epsilon=1e-12, name=None):
+    if len(x.shape) == 1:
+        axis = 0
+    check_variable_and_dtype(x, "X", ("float32", "float64"), "norm")
+
+    helper = LayerHelper("l2_normalize", **locals())
+    out = helper.create_variable_for_type_inference(dtype=x.dtype)
+    norm = helper.create_variable_for_type_inference(dtype=x.dtype)
+    helper.append_op(
+        type="norm",
+        inputs={"X": x},
+        outputs={"Out": out,
+                 "Norm": norm},
+        attrs={
+            "axis": 1 if axis is None else axis,
+            "epsilon": epsilon,
+        })
+    return F.squeeze(norm, axes=[axis])
+
+
+def norm_except_dim(p, dim):
+    shape = p.shape
+    ndims = len(shape)
+    if dim == -1:
+        return F.sqrt(F.reduce_sum(F.square(p)) + 1e-12)
+    elif dim == 0:
+        p_matrix = F.reshape(p, (shape[0], -1))
+        return l2_norm(p_matrix, axis=1)
+    elif dim == ndims - 1:
+        p_matrix = F.reshape(p, (-1, shape[-1]))
+        return l2_norm(p_matrix, axis=0)
+    else:
+        perm = list(range(ndims))
+        perm[0] = dim
+        perm[dim] = 0
+        p_transposed = F.transpose(p, perm)
+        return norm_except_dim(p_transposed, 0)
+
+
+def _weight_norm(v, g, dim):
+    shape = v.shape
+    ndims = len(shape)
+
+    if dim == -1:
+        v_normalized = v / (F.sqrt(F.reduce_sum(F.square(v))) + 1e-12)
+    elif dim == 0:
+        p_matrix = F.reshape(v, (shape[0], -1))
+        v_normalized = F.l2_normalize(p_matrix, axis=1)
+        v_normalized = F.reshape(v_normalized, shape)
+    elif dim == ndims - 1:
+        p_matrix = F.reshape(v, (-1, shape[-1]))
+        v_normalized = F.l2_normalize(p_matrix, axis=0)
+        v_normalized = F.reshape(v_normalized, shape)
+    else:
+        perm = list(range(ndims))
+        perm[0] = dim
+        perm[dim] = 0
+        p_transposed = F.transpose(v, perm)
+        transposed_shape = p_transposed.shape
+        p_matrix = F.reshape(p_transposed, (p_transposed.shape[0], -1))
+        v_normalized = F.l2_normalize(p_matrix, axis=1)
+        v_normalized = F.reshape(v_normalized, transposed_shape)
+        v_normalized = F.transpose(v_normalized, perm)
+    weight = multiply(v_normalized, g, axis=dim if dim is not None else -1)
+    return weight
+
+
+class WeightNorm(object):
+    def __init__(self, name, dim):
+        if dim is None:
+            dim = -1
+        self.name = name
+        self.dim = dim
+
+    def compute_weight(self, layer):
+        g = getattr(layer, self.name + '_g')
+        v = getattr(layer, self.name + '_v')
+        return _weight_norm(v, g, self.dim)
+
+    @staticmethod
+    def apply(layer, name, dim):
+        for k, hook in layer._forward_pre_hooks.items():
+            if isinstance(hook, WeightNorm) and hook.name == name:
+                raise RuntimeError("Cannot register two weight_norm hooks on "
+                                   "the same parameter {}".format(name))
+
+        if dim is None:
+            dim = -1
+
+        fn = WeightNorm(name, dim)
+
+        w = getattr(layer, name)
+        del layer._parameters[name]
+
+        g_var = norm_except_dim(w, dim)
+        v = layer.create_parameter(w.shape, dtype=w.dtype)
+        layer.add_parameter(name + "_v", v)
+        g = layer.create_parameter(g_var.shape, dtype=g_var.dtype)
+        layer.add_parameter(name + '_g', g)
+        with dygraph.no_grad():
+            F.assign(w, v)
+            F.assign(g_var, g)
+        setattr(layer, name, fn.compute_weight(layer))
+
+        layer.register_forward_pre_hook(fn)
+        return fn
+
+    def remove(self, layer):
+        w_var = self.compute_weight(layer)
+        delattr(layer, self.name)
+        del layer._parameters[self.name + '_g']
+        del layer._parameters[self.name + '_v']
+        w = layer.create_parameter(w_var.shape, dtype=w_var.dtype)
+        layer.add_parameter(self.name, w)
+        with dygraph.no_grad():
+            F.assign(w_var, w)
+
+    def __call__(self, layer, inputs):
+        setattr(layer, self.name, self.compute_weight(layer))
+
+
+def weight_norm(layer, name='weight', dim=0):
+    """
+    This weight_norm layer applies weight normalization to a parameter according to the 
+    following formula:
+
+    .. math::
+
+        \mathbf{w} = g \dfrac{v}{\|v\|}
+
+    Weight normalization is a reparameterization of the weight vectors in a neural network that 
+    decouples the magnitude of those weight vectors from their direction. Weight normalization 
+    replaces the parameter specified by `name`(eg: 'weight') with two parameters: one parameter 
+    specifying the magnitude (eg: 'weight_g') and one parameter specifying the direction 
+    (eg: 'weight_v'). Weight normalization has been implemented as discussed in this paper: 
+    `Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networks
+    <https://arxiv.org/pdf/1602.07868.pdf>`_.
+
+    Parameters:
+        layer(Layer): Layer of paddle, which has weight.
+        name(str, optional): Name of the weight parameter. Default: 'weight'.
+        dim(int, optional): Dimension over which to compute the norm. Dim is a non-negative number 
+              which is less than the rank of weight Tensor. For Example, dim can be chosen from 0, 
+              1, 2, 3 for convolution whose weight shape is [cout, cin, kh, kw] and rank is 4. 
+              If dim is set to None, meaning that all elements will be normalized. Default: 0.
+    
+    Returns:
+        Origin layer with weight norm hook.
+
+    Examples:
+        .. code-block:: python
+
+          import numpy as np
+          from paddle.nn import Conv2D
+          from paddle.nn.utils import weight_norm
+
+          x = np.array([[[[0.3, 0.4], [0.3, 0.07]], [[0.83, 0.37], [0.18, 0.93]]]]).astype('float32')
+          paddle.disable_static()
+          conv = Conv2D(3, 5, 3)
+          wn = weight_norm(conv)
+          print(conv.weight_g.shape)
+          # [5]
+          print(conv.weight_v.shape)
+          # [5, 3, 3, 3]
+    """
+    WeightNorm.apply(layer, name, dim)
+    return layer
+
+
+def remove_weight_norm(layer, name='weight'):
+    """
+    remove weight normalization from layer.
+
+    Parameters:
+        layer(Layer): Layer of paddle, which has weight.
+        name(str, optional): Name of the weight parameter. Default: 'weight'.
+
+    Returns:
+        Origin layer without weight norm
+
+    Examples:
+        .. code-block:: python
+          import paddle
+          from paddle.nn import Conv2D
+          from paddle.nn.utils import weight_norm, remove_weight_norm
+
+          paddle.disable_static()
+          conv = Conv2D(3, 5, 3)
+          wn = weight_norm(conv)
+          remove_weight_norm(conv)
+          print(conv.weight_g)
+          # AttributeError: 'Conv2D' object has no attribute 'weight_g'
+    """
+    for k, hook in layer._forward_pre_hooks.items():
+        if isinstance(hook, WeightNorm) and hook.name == name:
+            hook.remove(layer)
+            del layer._forward_pre_hooks[k]
+            return layer
+
+    raise ValueError("weight_norm of '{}' not found in {}".format(name, layer))
diff --git a/python/setup.py.in b/python/setup.py.in
index 29bc68444e1e6348218a3ada3233333c2b9f1cde..4706099c0c3f3c14a5a29ac27808e239810c6918 100644
--- a/python/setup.py.in
+++ b/python/setup.py.in
@@ -201,6 +201,7 @@ packages=['paddle',
           'paddle.nn.functional',
           'paddle.nn.layer',
           'paddle.nn.initializer',
+          'paddle.nn.utils',
           'paddle.metric',
           'paddle.static',
           'paddle.static.nn',