diff --git a/python/paddle/fluid/tests/unittests/test_clip_op.py b/python/paddle/fluid/tests/unittests/test_clip_op.py
index 74c01e1424885051faf3e263e6ca26c1269a838e..2e1f9d41747e3a99b4b4a0650a52973459b85c7b 100644
--- a/python/paddle/fluid/tests/unittests/test_clip_op.py
+++ b/python/paddle/fluid/tests/unittests/test_clip_op.py
@@ -166,12 +166,16 @@ class TestClipAPI(unittest.TestCase):
         data_shape = [1, 9, 9, 4]
         data = np.random.random(data_shape).astype('float32')
         images = paddle.to_variable(data, dtype='float32')
+        v_min = paddle.to_variable(np.array([0.2], dtype=np.float32))
+        v_max = paddle.to_variable(np.array([0.8], dtype=np.float32))
 
         out_1 = paddle.clip(images, min=0.2, max=0.8)
         out_2 = paddle.clip(images, min=0.2, max=0.9)
+        out_3 = paddle.clip(images, min=v_min, max=v_max)
 
         self.assertTrue(np.allclose(out_1.numpy(), data.clip(0.2, 0.8)))
         self.assertTrue(np.allclose(out_2.numpy(), data.clip(0.2, 0.9)))
+        self.assertTrue(np.allclose(out_3.numpy(), data.clip(0.2, 0.8)))
 
     def test_errors(self):
         paddle.enable_static()
diff --git a/python/paddle/tensor/math.py b/python/paddle/tensor/math.py
index 0d87c1c2cf705372de7b8534cf8faea1bb5320a6..d2db2a7cb71945e137e46d6793f8cba1f7adf12f 100755
--- a/python/paddle/tensor/math.py
+++ b/python/paddle/tensor/math.py
@@ -1618,6 +1618,10 @@ def clip(x, min=None, max=None, name=None):
     fmax = float(np.finfo(np_dtype).max)
 
     if in_dygraph_mode():
+        if isinstance(min, Variable):
+            min = min.numpy().item(0)
+        if isinstance(max, Variable):
+            max = max.numpy().item(0)
         min = fmin if min is None else min
         max = fmax if max is None else max
         return core.ops.clip(x, "min", min, "max", max)