diff --git a/python/paddle/v2/fluid/layers/nn.py b/python/paddle/v2/fluid/layers/nn.py
index 2a462ee6cb47496b17a8f584e56ac2c8934b319a..d226ab3bb7e36ddd3e17876887b706785880ef3d 100644
--- a/python/paddle/v2/fluid/layers/nn.py
+++ b/python/paddle/v2/fluid/layers/nn.py
@@ -514,14 +514,83 @@ def conv2d(input,
            groups=None,
            param_attr=None,
            bias_attr=None,
-           act=None,
-           name=None):
+           act=None):
     """
-    This function creates the op for a 2-dimensional Convolution.
-    This is performed using the parameters of filters(size, dimensionality etc)
-    , stride and other configurations for a Convolution operation.
-    This funciton can also append an activation on top of the
-    conv-2d output, if mentioned in the input parameters.
+    **Convlution2D Layer**
+
+    The convolution2D layer calculates the output based on the input, filter
+    and strides, paddings, dilations, groups parameters. Input(Input) and Output(Output)
+    are in NCHW format. Where N is batch size, C is the number of channels, H is the height
+    of the feature, and W is the width of the feature.
+    The details of convolution layer, please refer UFLDL's `convolution,
+    <http://ufldl.stanford.edu/tutorial/supervised/FeatureExtractionUsingConvolution/>`_ .
+    If bias attribution and activation type are provided, bias is added to the output of the convolution,
+    and the corresponding activation function is applied to the final result.
+    For each input :math:`X`, the equation is:
+
+
+    .. math::
+
+        Out = \sigma (W \\ast X + b)
+
+    In the above equation:
+
+        * :math:`X`: Input value, a tensor with NCHW format.
+        * :math:`W`: Filter value, a tensor with MCHW format.
+        * :math:`\\ast`: Convolution operation.
+        * :math:`b`: Bias value, a 2-D tensor with shape [M, 1].
+        * :math:`\\sigma`: Activation function.
+        * :math:`Out`: Output value, the shape of :math:`Out` and :math:`X` may be different.
+
+    Example:
+
+        Input:
+            Input shape: $(N, C_{in}, H_{in}, W_{in})$
+
+            Filter shape: $(C_{out}, C_{in}, H_f, W_f)$
+
+        Output:
+            Output shape: $(N, C_{out}, H_{out}, W_{out})$
+        Where
+    .. math::
+
+        H_{out}&= \\frac{(H_{in} + 2 * paddings[0] - (dilations[0] * (H_f - 1) + 1))}{strides[0]} + 1 \\\\
+        W_{out}&= \\frac{(W_{in} + 2 * paddings[1] - (dilations[1] * (W_f - 1) + 1))}{strides[1]} + 1
+
+    Args:
+        input(Variable): The input image with [N, C, H, W] format.
+        num_filters(int): The number of filter. It is as same as the output
+            image channel.
+        filter_size(int|tuple|None): The filter size. If filter_size is a tuple,
+            it must contain two integers, (filter_size_H, filter_size_W).
+            Otherwise, the filter will be a square.
+        stride(int|tuple): The stride size. If stride is a tuple, it must
+            contain two integers, (stride_H, stride_W). Otherwise, the
+            stride_H = stride_W = stride. Default: stride = 1.
+        padding(int|tuple): The padding size. If padding is a tuple, it must
+            contain two integers, (padding_H, padding_W). Otherwise, the
+            padding_H = padding_W = padding. Default: padding = 0.
+        groups(int): The groups number of the Conv2d Layer. According to grouped
+            convolution in Alex Krizhevsky's Deep CNN paper: when group=2,
+            the first half of the filters is only connected to the first half
+            of the input channels, while the second half of the filters is only
+            connected to the second half of the input channels. Default: groups=1
+        param_attr(ParamAttr): The parameters to the Conv2d Layer. Default: None
+        bias_attr(ParamAttr): Bias parameter for the Conv2d layer. Default: None
+        act(str): Activation type. Default: None
+
+    Returns:
+        Variable: The tensor variable storing the convolution and \
+                  non-linearity activation result.
+
+    Raises:
+        ValueError: If the shapes of input, filter_size, stride, padding and groups mismatch.
+
+    Examples:
+        .. code-block:: python
+
+          data = fluid.layers.data(name='data', shape=[3, 32, 32], dtype='float32')
+          conv2d = fluid.layers.conv2d(input=data, num_filters=2, filter_size=3, act="relu")
     """
 
     if stride is None: