diff --git a/python/paddle/fluid/layers/nn.py b/python/paddle/fluid/layers/nn.py
index 4a93c7d11fd8aedaaf8faf770296e6dd920e8626..b44e249ee9fabf158f44cee9a05f88a419dda6f9 100755
--- a/python/paddle/fluid/layers/nn.py
+++ b/python/paddle/fluid/layers/nn.py
@@ -3574,7 +3574,7 @@ def group_norm(input,
     Refer to `Group Normalization <https://arxiv.org/abs/1803.08494>`_ .
 
     Parameters:
-        input(Tensor): 4-D Tensor, the data type is float32 or float64.
+        input(Tensor): Tensor with dimension greater than 1, the data type is float32 or float64.
         groups(int): The number of groups that divided from channels, the data type
             is int32.
         epsilon(float, optional): The small value added to the variance to prevent
@@ -3591,12 +3591,12 @@ def group_norm(input,
         data_layout(str, optional): Specify the data format of the input, and the data format of the output
             will be consistent with that of the input. An optional string from: `"NCHW"`, `"NHWC"`.
             The default is `"NCHW"`. When it is `"NCHW"`, the data is stored in the order of:
-            `[batch_size, input_channels, input_height, input_width]`.
+            `[batch_size, input_channels, *]`.
         name (str, optional): The default value is None. Normally there is no need for user to set this
             property. For more information, please refer to :ref:`api_guide_Name` .
 
     Returns:
-        Tensor: A 4-D Tensor has same data type and data format with `input`.
+        Tensor: A Tensor has same data type and data format with `input`.
 
     Examples:
        .. code-block:: python
@@ -3615,6 +3615,10 @@ def group_norm(input,
     # create intput and parameters
     inputs = {'X': input}
     input_shape = input.shape
+    if len(input_shape) < 2:
+        raise ValueError(
+            f"The dimensions of Op(fluid.layers.group_norm)'s input should be more than 1. But received {len(input_shape)}"
+        )
     if data_layout != 'NCHW' and data_layout != 'NHWC':
         raise ValueError(
             "Param(data_layout) of Op(fluid.layers.group_norm) got wrong value: received "
diff --git a/python/paddle/fluid/tests/unittests/test_group_norm_op_v2.py b/python/paddle/fluid/tests/unittests/test_group_norm_op_v2.py
index fbdf4a1cfd1ac0a23ac0853271042e0a5a090385..a22233dfcc8c6d63884ec6bf82a145facb79c961 100644
--- a/python/paddle/fluid/tests/unittests/test_group_norm_op_v2.py
+++ b/python/paddle/fluid/tests/unittests/test_group_norm_op_v2.py
@@ -152,5 +152,20 @@ class TestGroupNormAPIV2_With_General_Dimensions(unittest.TestCase):
                 self.assertTrue(np.allclose(result2, expect_res2, atol=1e-5))
 
 
+class TestGroupNormDimException(unittest.TestCase):
+    def test_exception(self):
+        def test_empty_input_static_API():
+            x = paddle.to_tensor([], dtype='float32')
+            paddle.static.nn.group_norm(x, 3)
+
+        self.assertRaises(ValueError, test_empty_input_static_API)
+
+        def test_one_dim_input_static_API():
+            x = paddle.randn((3, ), dtype='float32')
+            paddle.static.nn.group_norm(x, 3)
+
+        self.assertRaises(ValueError, test_one_dim_input_static_API)
+
+
 if __name__ == '__main__':
     unittest.main()