diff --git a/paddle/fluid/operators/math/complex_functors.h b/paddle/fluid/operators/math/complex_functors.h
index 2e9e72eac12aaabe0ac658a2f1c8711267e75936..0e8aed40f6e16a6bd5395bdeadd49b80a132ae6f 100644
--- a/paddle/fluid/operators/math/complex_functors.h
+++ b/paddle/fluid/operators/math/complex_functors.h
@@ -144,7 +144,7 @@ struct AbsFunctor<T, NoComplex<T, Real<T>>> {
       : input_(input), output_(output), numel_(numel) {}
 
   HOSTDEVICE void operator()(int64_t idx) const {
-    output_[idx] = abs(input_[idx]);
+    output_[idx] = std::abs(input_[idx]);
   }
 
   const T* input_;
@@ -162,7 +162,7 @@ struct AbsGradFunctor {
     if (x_[idx] == T(0)) {
       output_[idx] = T(0);
     } else {
-      output_[idx] = T(dout_[idx]) * (x_[idx] / T(abs(x_[idx])));
+      output_[idx] = T(dout_[idx]) * (x_[idx] / T(std::abs(x_[idx])));
     }
   }
 
@@ -172,6 +172,48 @@ struct AbsGradFunctor {
   int64_t numel_;
 };
 
+template <>
+struct AbsGradFunctor<paddle::platform::complex64> {
+  AbsGradFunctor(const float* dout, const paddle::platform::complex64* x,
+                 paddle::platform::complex64* output, int64_t numel)
+      : dout_(dout), x_(x), output_(output), numel_(numel) {}
+
+  HOSTDEVICE void operator()(int64_t idx) const {
+    if (x_[idx] == paddle::platform::complex64(0)) {
+      output_[idx] = paddle::platform::complex64(0);
+    } else {
+      output_[idx] = paddle::platform::complex64(dout_[idx]) *
+                     (x_[idx] / paddle::platform::complex64(abs(x_[idx])));
+    }
+  }
+
+  const float* dout_;
+  const paddle::platform::complex64* x_;
+  paddle::platform::complex64* output_;
+  int64_t numel_;
+};
+
+template <>
+struct AbsGradFunctor<paddle::platform::complex128> {
+  AbsGradFunctor(const double* dout, const paddle::platform::complex128* x,
+                 paddle::platform::complex128* output, int64_t numel)
+      : dout_(dout), x_(x), output_(output), numel_(numel) {}
+
+  HOSTDEVICE void operator()(int64_t idx) const {
+    if (x_[idx] == paddle::platform::complex128(0)) {
+      output_[idx] = paddle::platform::complex128(0);
+    } else {
+      output_[idx] = paddle::platform::complex128(dout_[idx]) *
+                     (x_[idx] / paddle::platform::complex128(abs(x_[idx])));
+    }
+  }
+
+  const double* dout_;
+  const paddle::platform::complex128* x_;
+  paddle::platform::complex128* output_;
+  int64_t numel_;
+};
+
 template <typename T>
 struct AbsGradGradFunctor {
   AbsGradGradFunctor(const T* ddx, const T* x, T* output, int64_t numel)
@@ -181,7 +223,7 @@ struct AbsGradGradFunctor {
     if (x_[idx] == T(0)) {
       output_[idx] = T(0);
     } else {
-      output_[idx] = T(ddx_[idx]) * x_[idx] / T(abs(x_[idx]));
+      output_[idx] = T(ddx_[idx]) * x_[idx] / T(std::abs(x_[idx]));
     }
   }
 
@@ -191,6 +233,49 @@ struct AbsGradGradFunctor {
   int64_t numel_;
 };
 
+template <>
+struct AbsGradGradFunctor<paddle::platform::complex128> {
+  AbsGradGradFunctor(const paddle::platform::complex128* ddx,
+                     const paddle::platform::complex128* x,
+                     paddle::platform::complex128* output, int64_t numel)
+      : ddx_(ddx), x_(x), output_(output), numel_(numel) {}
+
+  HOSTDEVICE void operator()(int64_t idx) const {
+    if (x_[idx] == paddle::platform::complex128(0)) {
+      output_[idx] = paddle::platform::complex128(0);
+    } else {
+      output_[idx] = paddle::platform::complex128(ddx_[idx]) * x_[idx] /
+                     paddle::platform::complex128(abs(x_[idx]));
+    }
+  }
+
+  const paddle::platform::complex128* ddx_;
+  const paddle::platform::complex128* x_;
+  paddle::platform::complex128* output_;
+  int64_t numel_;
+};
+
+template <>
+struct AbsGradGradFunctor<paddle::platform::complex64> {
+  AbsGradGradFunctor(const paddle::platform::complex64* ddx,
+                     const paddle::platform::complex64* x,
+                     paddle::platform::complex64* output, int64_t numel)
+      : ddx_(ddx), x_(x), output_(output), numel_(numel) {}
+
+  HOSTDEVICE void operator()(int64_t idx) const {
+    if (x_[idx] == paddle::platform::complex64(0)) {
+      output_[idx] = paddle::platform::complex64(0);
+    } else {
+      output_[idx] = paddle::platform::complex64(ddx_[idx]) * x_[idx] /
+                     paddle::platform::complex64(abs(x_[idx]));
+    }
+  }
+
+  const paddle::platform::complex64* ddx_;
+  const paddle::platform::complex64* x_;
+  paddle::platform::complex64* output_;
+  int64_t numel_;
+};
 template <typename T, typename Enable = void>
 struct RealToComplexFunctor;
 
diff --git a/paddle/fluid/platform/float16.h b/paddle/fluid/platform/float16.h
index 6f0b44f6af60298cca1a65445ef77ba6b1810396..d4b308e6bc54137259979ac3d85cec634f249c70 100644
--- a/paddle/fluid/platform/float16.h
+++ b/paddle/fluid/platform/float16.h
@@ -1013,6 +1013,11 @@ struct numeric_limits<paddle::platform::float16> {
   }
 };
 
+HOSTDEVICE inline paddle::platform::float16 abs(
+    const paddle::platform::float16& a) {
+  return paddle::platform::abs(a);
+}
+
 }  // namespace std
 
 namespace Eigen {
diff --git a/python/paddle/fluid/tests/unittests/test_complex_abs.py b/python/paddle/fluid/tests/unittests/test_complex_abs.py
index f9bce91e46d91057c3b879d32c43fac21b1482a2..d049eaaf506e594565a93de54ea8ff96fba55f30 100644
--- a/python/paddle/fluid/tests/unittests/test_complex_abs.py
+++ b/python/paddle/fluid/tests/unittests/test_complex_abs.py
@@ -18,6 +18,7 @@ import unittest
 import numpy as np
 
 import paddle
+import paddle.fluid.dygraph as dg
 from op_test import OpTest
 
 
@@ -85,5 +86,52 @@ class TestComplexAbsOpZeroValues(OpTest):
             user_defined_grad_outputs=[self.grad_out])
 
 
+class TestAbs(unittest.TestCase):
+    def setUp(self):
+        self._dtypes = ["float32", "float64"]
+        self._places = [paddle.CPUPlace()]
+        if paddle.is_compiled_with_cuda():
+            self._places.append(paddle.CUDAPlace(0))
+
+    def test_all_positive(self):
+        for dtype in self._dtypes:
+            x = 1 + 10 * np.random.random([13, 3, 3]).astype(dtype)
+            for place in self._places:
+                with dg.guard(place):
+                    y = paddle.abs(paddle.to_tensor(x))
+                    self.assertTrue(np.allclose(np.abs(x), y.numpy()))
+
+
+class TestRealAbsOp(OpTest):
+    def setUp(self):
+        paddle.enable_static()
+        self.op_type = "abs"
+        self.dtype = np.float64
+        self.shape = (2, 3, 4, 5)
+        self.init_input_output()
+        self.init_grad_input_output()
+
+        self.inputs = {'X': OpTest.np_dtype_to_fluid_dtype(self.x)}
+        self.outputs = {'Out': self.out}
+
+    def init_input_output(self):
+        self.x = 1 + np.random.random(self.shape).astype(self.dtype)
+        self.out = np.abs(self.x)
+
+    def init_grad_input_output(self):
+        self.grad_out = np.ones(self.shape, self.dtype)
+        self.grad_x = self.grad_out * (self.x / np.abs(self.x))
+
+    def test_check_output(self):
+        self.check_output()
+
+    def test_check_grad(self):
+        self.check_grad(
+            ['X'],
+            'Out',
+            user_defined_grads=[self.grad_x],
+            user_defined_grad_outputs=[self.grad_out])
+
+
 if __name__ == '__main__':
     unittest.main()