diff --git a/python/paddle/fluid/tests/unittests/test_lrn_op.py b/python/paddle/fluid/tests/unittests/test_lrn_op.py
index 2b632b2437ad64841a48ee96b8de4f54c6889e21..588241969897f6936d9434411b42a032a5ca3990 100644
--- a/python/paddle/fluid/tests/unittests/test_lrn_op.py
+++ b/python/paddle/fluid/tests/unittests/test_lrn_op.py
@@ -323,6 +323,12 @@ class TestLocalResponseNormFAPIError(unittest.TestCase):
 
             self.assertRaises(ValueError, test_dim)
 
+            def test_shape():
+                x = fluid.data(name='x', shape=[0, 0, 2, 3], dtype="float32")
+                paddle.nn.functional.local_response_norm(x, size=5)
+
+            self.assertRaises(ValueError, test_shape)
+
 
 class TestLocalResponseNormCAPI(unittest.TestCase):
     def setUp(self):
diff --git a/python/paddle/nn/functional/norm.py b/python/paddle/nn/functional/norm.py
index 863787c00e649dbadf1c29681e4652100210e969..c61fafdcb91549177e23520c91469878d0a71371 100644
--- a/python/paddle/nn/functional/norm.py
+++ b/python/paddle/nn/functional/norm.py
@@ -487,6 +487,12 @@ def local_response_norm(x,
             'Expected 3D or higher dimensionality input, but got {} dimensions'.
             format(dim))
 
+    for i, size in enumerate(sizes):
+        if not size > 0:
+            raise ValueError("Expected every dim's size to be larger than 0, "
+                             "but the size of the {}-th dim is {}".format(i,
+                                                                          size))
+
     channel_last = True if data_format[-1] == "C" else False
 
     from functools import reduce