diff --git a/python/paddle/__init__.py b/python/paddle/__init__.py
index 374be895ff83d3b9a6653273ddb62ea5c53542e2..bc5a72bf8e74e6f654f5116c137607bbde71dd11 100644
--- a/python/paddle/__init__.py
+++ b/python/paddle/__init__.py
@@ -38,7 +38,7 @@ import paddle.tensor
 import paddle.nn
 import paddle.framework
 import paddle.imperative
-import paddle.complex
+import paddle.incubate.complex as complex
 
 # TODO: define alias in tensor and framework directory
 from .tensor.random import randperm
diff --git a/python/paddle/fluid/tests/unittests/test_complex_elementwise_layers.py b/python/paddle/fluid/tests/unittests/test_complex_elementwise_layers.py
index 45fa40b228ae5efaff5816af26c61ec83f86afd2..0ced775689e7ff948b69bf97d8c0b77debb07e81 100644
--- a/python/paddle/fluid/tests/unittests/test_complex_elementwise_layers.py
+++ b/python/paddle/fluid/tests/unittests/test_complex_elementwise_layers.py
@@ -15,7 +15,7 @@
 import unittest
 import numpy as np
 from numpy.random import random as rand
-import paddle.complex as cpx
+from paddle import complex as cpx
 import paddle.fluid as fluid
 import paddle.fluid.dygraph as dg
 
diff --git a/python/paddle/fluid/tests/unittests/test_complex_kron.py b/python/paddle/fluid/tests/unittests/test_complex_kron.py
index 50817a8734bd63a2800d37a243093303fd0573a0..863d61e6027ea2cfec27a7dff86d8da735becada 100644
--- a/python/paddle/fluid/tests/unittests/test_complex_kron.py
+++ b/python/paddle/fluid/tests/unittests/test_complex_kron.py
@@ -13,7 +13,7 @@
 # limitations under the License.
 
 from paddle import fluid, tensor
-import paddle.complex as cpx
+import paddle
 import paddle.fluid.dygraph as dg
 import numpy as np
 import unittest
@@ -40,7 +40,7 @@ class ComplexKronTestCase(unittest.TestCase):
         with dg.guard(place):
             x_var = dg.to_variable(self.x)
             y_var = dg.to_variable(self.y)
-            out_var = cpx.kron(x_var, y_var)
+            out_var = paddle.complex.kron(x_var, y_var)
             np.testing.assert_allclose(out_var.numpy(), self.ref_result)
 
 
diff --git a/python/paddle/fluid/tests/unittests/test_complex_reshape.py b/python/paddle/fluid/tests/unittests/test_complex_reshape.py
index 4b1370a56e3d92872bd82986c70c427be9b91b2c..6d124d8da2b2bed129f918a4be1c51a5d8f28bb6 100644
--- a/python/paddle/fluid/tests/unittests/test_complex_reshape.py
+++ b/python/paddle/fluid/tests/unittests/test_complex_reshape.py
@@ -13,7 +13,7 @@
 # limitations under the License.
 
 import paddle.fluid as fluid
-import paddle.complex as cpx
+from paddle import complex as cpx
 import paddle.fluid.dygraph as dg
 import numpy as np
 import unittest
diff --git a/python/paddle/fluid/tests/unittests/test_complex_sum_layer.py b/python/paddle/fluid/tests/unittests/test_complex_sum_layer.py
index e8110fd3a96058a2209742e75e6ed810df46029f..f8637b448880a451da4a6323f70feae4eab9ef7f 100644
--- a/python/paddle/fluid/tests/unittests/test_complex_sum_layer.py
+++ b/python/paddle/fluid/tests/unittests/test_complex_sum_layer.py
@@ -15,7 +15,7 @@
 import unittest
 import numpy as np
 from numpy.random import random as rand
-import paddle.complex as cpx
+from paddle import complex as cpx
 import paddle.fluid as fluid
 import paddle.fluid.dygraph as dg
 
diff --git a/python/paddle/fluid/tests/unittests/test_complex_trace_layer.py b/python/paddle/fluid/tests/unittests/test_complex_trace_layer.py
index 97123597b6f68154266b2ef7a574dfe0a47a6689..5293d594be993a85a54508af99cf08b4a40a380b 100644
--- a/python/paddle/fluid/tests/unittests/test_complex_trace_layer.py
+++ b/python/paddle/fluid/tests/unittests/test_complex_trace_layer.py
@@ -15,7 +15,7 @@
 import unittest
 import numpy as np
 from numpy.random import random as rand
-import paddle.complex as cpx
+from paddle import complex as cpx
 import paddle.fluid as fluid
 import paddle.fluid.dygraph as dg
 
diff --git a/python/paddle/incubate/__init__.py b/python/paddle/incubate/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..76e0e91197f15f94d14ae3c20094f6813f725c38
--- /dev/null
+++ b/python/paddle/incubate/__init__.py
@@ -0,0 +1,13 @@
+# Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
diff --git a/python/paddle/complex/__init__.py b/python/paddle/incubate/complex/__init__.py
similarity index 100%
rename from python/paddle/complex/__init__.py
rename to python/paddle/incubate/complex/__init__.py
diff --git a/python/paddle/complex/helper.py b/python/paddle/incubate/complex/helper.py
similarity index 97%
rename from python/paddle/complex/helper.py
rename to python/paddle/incubate/complex/helper.py
index 9d96e4d49ad8268208b493b8ae9b0c3b07f266a4..504cf51cec50f09752106c891555a9d8fcf0577d 100644
--- a/python/paddle/complex/helper.py
+++ b/python/paddle/incubate/complex/helper.py
@@ -12,7 +12,7 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-from ..fluid import framework
+from ...fluid import framework
 
 
 def is_complex(x):
diff --git a/python/paddle/complex/tensor/__init__.py b/python/paddle/incubate/complex/tensor/__init__.py
similarity index 100%
rename from python/paddle/complex/tensor/__init__.py
rename to python/paddle/incubate/complex/tensor/__init__.py
diff --git a/python/paddle/complex/tensor/linalg.py b/python/paddle/incubate/complex/tensor/linalg.py
similarity index 92%
rename from python/paddle/complex/tensor/linalg.py
rename to python/paddle/incubate/complex/tensor/linalg.py
index 99c0ca5fbfab32c1581878f02db10d3338a507c8..3badf36280e27c9d7962a2b7b3fff596fd0e8cb3 100644
--- a/python/paddle/complex/tensor/linalg.py
+++ b/python/paddle/incubate/complex/tensor/linalg.py
@@ -13,8 +13,8 @@
 # limitations under the License.
 
 from ..helper import is_complex, is_real, complex_variable_exists
-from ...fluid.framework import ComplexVariable
-from ...fluid import layers
+from ....fluid.framework import ComplexVariable
+from ....fluid import layers
 
 __all__ = ['matmul', ]
 
@@ -26,10 +26,10 @@ def matmul(x, y, transpose_x=False, transpose_y=False, alpha=1.0, name=None):
 
     Args:
         x (ComplexVariable|Variable): The first input, can be a ComplexVariable 
-            with data type complex32 or complex64, or a Variable with data type 
+            with data type complex64 or complex128, or a Variable with data type 
             float32 or float64.
         y (ComplexVariable|Variable): The second input, can be a ComplexVariable 
-            with data type complex32 or complex64, or a Variable with data type 
+            with data type complex64 or complex128, or a Variable with data type 
             float32 or float64.
         transpose_x (bool): Whether to transpose :math:`x` before multiplication.
         transpose_y (bool): Whether to transpose :math:`y` before multiplication.
diff --git a/python/paddle/complex/tensor/manipulation.py b/python/paddle/incubate/complex/tensor/manipulation.py
similarity index 98%
rename from python/paddle/complex/tensor/manipulation.py
rename to python/paddle/incubate/complex/tensor/manipulation.py
index ed04f2ff3a4478e731369fc617b885f12ce3dbae..7852260a31e3c1b530cc43aa30372eac6ed71597 100644
--- a/python/paddle/complex/tensor/manipulation.py
+++ b/python/paddle/incubate/complex/tensor/manipulation.py
@@ -14,8 +14,8 @@
 
 from paddle.common_ops_import import *
 from ..helper import is_complex, is_real, complex_variable_exists
-from ...fluid.framework import ComplexVariable
-from ...fluid import layers
+from ....fluid.framework import ComplexVariable
+from ....fluid import layers
 
 __all__ = [
     'reshape',
diff --git a/python/paddle/complex/tensor/math.py b/python/paddle/incubate/complex/tensor/math.py
similarity index 99%
rename from python/paddle/complex/tensor/math.py
rename to python/paddle/incubate/complex/tensor/math.py
index da53c98541e8f9f88b03967cfa25893dc5b6d326..51477abd5dcb7ccb742291296db08d11f3614a32 100644
--- a/python/paddle/complex/tensor/math.py
+++ b/python/paddle/incubate/complex/tensor/math.py
@@ -14,9 +14,9 @@
 
 from paddle.common_ops_import import *
 from ..helper import is_complex, is_real, complex_variable_exists
-from ...fluid.framework import ComplexVariable
-from ...fluid import layers
-from ...tensor import math
+from ....fluid.framework import ComplexVariable
+from ....fluid import layers
+from ....tensor import math
 
 __all__ = [
     'elementwise_add',
@@ -368,6 +368,7 @@ def kron(x, y, name=None):
     
             import numpy as np
             import paddle
+            from paddle import fluid
             import paddle.fluid.dygraph as dg
 
             a = np.array([[1.0+1.0j, 2.0+1.0j], [3.0+1.0j, 4.0+1.0j]])
diff --git a/python/setup.py.in b/python/setup.py.in
index 5e5f964e1686ba3188d057ff26374f798e70df23..8432361403b63e5d1c14ecee16363ee8329604a6 100644
--- a/python/setup.py.in
+++ b/python/setup.py.in
@@ -139,8 +139,9 @@ packages=['paddle',
           'paddle.dataset',
           'paddle.reader',
           'paddle.distributed',
-          'paddle.complex',
-          'paddle.complex.tensor',
+          'paddle.incubate',
+          'paddle.incubate.complex',
+          'paddle.incubate.complex.tensor',
           'paddle.framework',
           'paddle.fluid',
           'paddle.fluid.dygraph',