diff --git a/python/paddle/fluid/tests/unittests/test_zero_dim_tensor.py b/python/paddle/fluid/tests/unittests/test_zero_dim_tensor.py
index 0b3a6c20ec1a9ab6a89c2a53b3479b29760624f2..99c2bc117d74f6efeca8411f12ae4d092fe16dfc 100644
--- a/python/paddle/fluid/tests/unittests/test_zero_dim_tensor.py
+++ b/python/paddle/fluid/tests/unittests/test_zero_dim_tensor.py
@@ -2750,6 +2750,29 @@ class TestSundryAPIStatic(unittest.TestCase):
         self.assertEqual(res[4].shape, ())
         self.assertEqual(res[5].shape, ())
 
+    def test_static_nn_prelu(self):
+        x1 = paddle.full([], 1.0, 'float32')
+        x1.stop_gradient = False
+        out1 = paddle.static.nn.prelu(x1, 'all')
+        paddle.static.append_backward(out1.sum())
+
+        prog = paddle.static.default_main_program()
+        self.exe.run(paddle.static.default_startup_program())
+        res = self.exe.run(
+            prog,
+            fetch_list=[
+                out1,
+                x1.grad_name,
+                out1.grad_name,
+            ],
+        )
+
+        self.assertEqual(res[0].shape, ())
+        self.assertEqual(res[1].shape, ())
+        self.assertEqual(res[2].shape, ())
+        np.testing.assert_allclose(res[0], np.array(1))
+        np.testing.assert_allclose(res[1], np.array(1))
+
     @prog_scope()
     def test_while_loop(self):
         def cond(i, x):