diff --git a/python/paddle/fluid/tests/unittests/test_activation_nn_grad.py b/python/paddle/fluid/tests/unittests/test_activation_nn_grad.py
index 3e6d6e5ea859a98a95081b524ab5259f9b4d1e8b..48509067cdef0104ddfe29907fd5b806043306bf 100644
--- a/python/paddle/fluid/tests/unittests/test_activation_nn_grad.py
+++ b/python/paddle/fluid/tests/unittests/test_activation_nn_grad.py
@@ -79,7 +79,7 @@ class TestELUDoubleGradCheck(unittest.TestCase):
     @prog_scope()
     def func(self, place):
         shape = [2, 3, 7, 9]
-        eps = 0.0001
+        eps = 1e-6
         alpha = 1.1
         dtype = np.float64