diff --git a/python/paddle/fluid/tests/unittests/test_imperative_numpy_bridge.py b/python/paddle/fluid/tests/unittests/test_imperative_numpy_bridge.py
index 772dd913e4d20ccf51601ea620822c250cb45320..4f3089baffdd3fd57c069a178205fced6044a448 100644
--- a/python/paddle/fluid/tests/unittests/test_imperative_numpy_bridge.py
+++ b/python/paddle/fluid/tests/unittests/test_imperative_numpy_bridge.py
@@ -16,10 +16,11 @@ import unittest
 import numpy as np
 import paddle.fluid as fluid
 import warnings
+from paddle.fluid.framework import _test_eager_guard, _in_eager_mode
 
 
 class TestImperativeNumpyBridge(unittest.TestCase):
-    def test_tensor_from_numpy(self):
+    def func_tensor_from_numpy(self):
         data_np = np.array([[2, 3, 1]]).astype('float32')
         with fluid.dygraph.guard(fluid.CPUPlace()):
             with warnings.catch_warnings(record=True) as w:
@@ -39,9 +40,18 @@ class TestImperativeNumpyBridge(unittest.TestCase):
             self.assertTrue(np.array_equal(var2.numpy(), data_np))
             data_np[0][0] = -1
             self.assertEqual(data_np[0][0], -1)
-            self.assertNotEqual(var2[0][0].numpy()[0], -1)
+            if _in_eager_mode():
+                # eager_mode, var2 is EagerTensor, is not subscriptable
+                self.assertNotEqual(var2.numpy()[0][0], -1)
+            else:
+                self.assertNotEqual(var2[0][0].numpy()[0], -1)
             self.assertFalse(np.array_equal(var2.numpy(), data_np))
 
+    def test_func_tensor_from_numpy(self):
+        with _test_eager_guard():
+            self.func_tensor_from_numpy()
+        self.func_tensor_from_numpy()
+
 
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_imperative_thread_local_has_grad.py b/python/paddle/fluid/tests/unittests/test_imperative_thread_local_has_grad.py
index d81849725d75aadd96466af4d2d0f935b7e60ec0..f54e50953f131a97afe78ce28b9fbf1d00b57488 100644
--- a/python/paddle/fluid/tests/unittests/test_imperative_thread_local_has_grad.py
+++ b/python/paddle/fluid/tests/unittests/test_imperative_thread_local_has_grad.py
@@ -18,6 +18,7 @@ import time
 import paddle.nn as nn
 import numpy as np
 import threading
+from paddle.fluid.framework import _test_eager_guard, _in_eager_mode
 
 
 class SimpleNet(nn.Layer):
@@ -44,7 +45,7 @@ class TestCases(unittest.TestCase):
             x = net(x)
             self.assertFalse(x.stop_gradient)
 
-    def test_main(self):
+    def func_main(self):
         threads = []
         for _ in range(10):
             threads.append(threading.Thread(target=self.thread_1_main))
@@ -54,6 +55,11 @@ class TestCases(unittest.TestCase):
         for t in threads:
             t.join()
 
+    def test_main(self):
+        with _test_eager_guard():
+            self.func_main()
+        self.func_main()
+
 
 if __name__ == "__main__":
     unittest.main()