diff --git a/paddle/fluid/API.spec b/paddle/fluid/API.spec
index 032da0cad85ce43ab2630123f9f2cfd8dee4224e..ccf0c0841b2eb3ddd256d5c8ee96ea6e4a6d823b 100644
--- a/paddle/fluid/API.spec
+++ b/paddle/fluid/API.spec
@@ -308,6 +308,7 @@ paddle.fluid.layers.atan (ArgSpec(args=['x', 'name'], varargs=None, keywords=Non
 paddle.fluid.layers.tanh_shrink (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', '1e521554b9fdda9061ec6d306f0709b7'))
 paddle.fluid.layers.softshrink (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', '9eef31597bbafa2bd49691e072296e13'))
 paddle.fluid.layers.sqrt (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', 'e9e27491c39ac74d0b1ffe506aec0ebb'))
+paddle.fluid.layers.rsqrt (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', 'c445467ebe58b3c0d7f0bba7795b6f56'))
 paddle.fluid.layers.abs (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', '64650ac42cf82e9920cb0b172b1d29fd'))
 paddle.fluid.layers.ceil (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', 'c75d67dc5fe28f68e4cfffead4f698ad'))
 paddle.fluid.layers.floor (ArgSpec(args=['x', 'name'], varargs=None, keywords=None, defaults=(None,)), ('document', '647b16c5da5ef909649ae02abb434973'))
diff --git a/paddle/fluid/operators/activation_op.cc b/paddle/fluid/operators/activation_op.cc
index c87e4b22b37027efd1293e74f72598283946e62d..a228d530e6252e9f9ef52beff675d1e7a9cb65c1 100644
--- a/paddle/fluid/operators/activation_op.cc
+++ b/paddle/fluid/operators/activation_op.cc
@@ -199,6 +199,15 @@ $out = \sqrt{x}$
 
 )DOC";
 
+UNUSED constexpr char RsqrtDoc[] = R"DOC(
+Rsqrt Activation Operator.
+
+Please make sure input is legal in case of numeric errors.
+
+$out = \frac{1}{\sqrt{x}}$
+
+)DOC";
+
 UNUSED constexpr char AbsDoc[] = R"DOC(
 Abs Activation Operator.
 
@@ -547,6 +556,7 @@ REGISTER_ACTIVATION_OP_MAKER(Gelu, GeluDoc);
 REGISTER_ACTIVATION_OP_MAKER(Tanh, TanhDoc);
 REGISTER_ACTIVATION_OP_MAKER(TanhShrink, TanhShrinkDoc);
 REGISTER_ACTIVATION_OP_MAKER(Sqrt, SqrtDoc);
+REGISTER_ACTIVATION_OP_MAKER(Rsqrt, RsqrtDoc);
 REGISTER_ACTIVATION_OP_MAKER(Abs, AbsDoc);
 REGISTER_ACTIVATION_OP_MAKER(Ceil, CeilDoc);
 REGISTER_ACTIVATION_OP_MAKER(Floor, FloorDoc);
@@ -567,6 +577,7 @@ REGISTER_ACTIVATION_OP_GRAD_MAKER(Tanh, tanh);
 REGISTER_ACTIVATION_OP_GRAD_MAKER(Ceil, ceil);
 REGISTER_ACTIVATION_OP_GRAD_MAKER(Floor, floor);
 REGISTER_ACTIVATION_OP_GRAD_MAKER(Sqrt, sqrt);
+REGISTER_ACTIVATION_OP_GRAD_MAKER(Rsqrt, rsqrt);
 REGISTER_ACTIVATION_OP_GRAD_MAKER(SoftRelu, soft_relu);
 REGISTER_ACTIVATION_OP_GRAD_MAKER(Relu6, relu6);
 REGISTER_ACTIVATION_OP_GRAD_MAKER(Reciprocal, reciprocal);
@@ -584,6 +595,7 @@ namespace ops = paddle::operators;
   __macro(Ceil, ceil);                       \
   __macro(Floor, floor);                     \
   __macro(Sqrt, sqrt);                       \
+  __macro(Rsqrt, rsqrt);                     \
   __macro(SoftRelu, soft_relu);              \
   __macro(Relu6, relu6);                     \
   __macro(Reciprocal, reciprocal);           \
diff --git a/paddle/fluid/operators/activation_op.h b/paddle/fluid/operators/activation_op.h
index ff7e623f6f383ed2a8b8a40b3186d9c439ff1d86..1839c7e9bce3c7013b8c0ab49e6d7bee5e881795 100644
--- a/paddle/fluid/operators/activation_op.h
+++ b/paddle/fluid/operators/activation_op.h
@@ -39,8 +39,8 @@ namespace operators {
    Please refer to the layer_helper.py and get the details.
  */
 static std::unordered_set<std::string> InplaceOpSet = {
-    "sigmoid", "exp",        "relu",  "tanh",      "sqrt",        "ceil",
-    "floor",   "reciprocal", "relu6", "soft_relu", "hard_sigmoid"};
+    "sigmoid", "exp",        "relu",  "tanh",      "sqrt",         "ceil",
+    "floor",   "reciprocal", "relu6", "soft_relu", "hard_sigmoid", "rsqrt"};
 
 static bool IsInplace(const std::string& op) {
   bool inplace = InplaceOpSet.count(op);
@@ -463,6 +463,24 @@ struct SqrtGradFunctor : public BaseActivationFunctor<T> {
   }
 };
 
+// rsqrt(x) = x^(-1/2)
+template <typename T>
+struct RsqrtFunctor : public BaseActivationFunctor<T> {
+  template <typename Device, typename X, typename Out>
+  void operator()(Device d, X x, Out out) const {
+    out.device(d) = x.rsqrt();
+  }
+};
+
+template <typename T>
+struct RsqrtGradFunctor : public BaseActivationFunctor<T> {
+  template <typename Device, typename X, typename Out, typename dOut,
+            typename dX>
+  void operator()(Device d, X x, Out out, dOut dout, dX dx) const {
+    dx.device(d) = static_cast<T>(-0.5) * dout * out.pow(3);
+  }
+};
+
 // ceil(x) = ceiling(x)
 template <typename T>
 struct CeilFunctor : public BaseActivationFunctor<T> {
@@ -1098,6 +1116,7 @@ struct SwishGradFunctor : public BaseActivationFunctor<T> {
   __macro(atan, AtanFunctor, AtanGradFunctor);                       \
   __macro(softshrink, SoftShrinkFunctor, SoftShrinkGradFunctor);     \
   __macro(sqrt, SqrtFunctor, SqrtGradFunctor);                       \
+  __macro(rsqrt, RsqrtFunctor, RsqrtGradFunctor);                    \
   __macro(abs, AbsFunctor, AbsGradFunctor);                          \
   __macro(ceil, CeilFunctor, ZeroGradFunctor);                       \
   __macro(floor, FloorFunctor, ZeroGradFunctor);                     \
diff --git a/python/paddle/fluid/layers/ops.py b/python/paddle/fluid/layers/ops.py
index f018bb8af8cc9f7ed965c86d5aff40352014c393..17c84b1a4332a9188a397581f76a004cb2df4937 100644
--- a/python/paddle/fluid/layers/ops.py
+++ b/python/paddle/fluid/layers/ops.py
@@ -27,6 +27,7 @@ __activations_noattr__ = [
     'tanh_shrink',
     'softshrink',
     'sqrt',
+    'rsqrt',
     'abs',
     'ceil',
     'floor',
diff --git a/python/paddle/fluid/tests/unittests/test_activation_op.py b/python/paddle/fluid/tests/unittests/test_activation_op.py
index d587715d607c6da16da5c009db16322e8cd7d176..4d66b7a989732e37c48c73b9617943874ad07bba 100644
--- a/python/paddle/fluid/tests/unittests/test_activation_op.py
+++ b/python/paddle/fluid/tests/unittests/test_activation_op.py
@@ -192,6 +192,23 @@ class TestSqrt(TestActivation):
         self.check_grad(['X'], 'Out', max_relative_error=0.007)
 
 
+class TestRsqrt(TestActivation):
+    def setUp(self):
+        self.op_type = "rsqrt"
+        self.init_dtype()
+
+        x = np.random.uniform(0.1, 1, [2, 3]).astype(self.dtype)
+        out = 1.0 / np.sqrt(x)
+
+        self.inputs = {'X': OpTest.np_dtype_to_fluid_dtype(x)}
+        self.outputs = {'Out': out}
+
+    def test_check_grad(self):
+        if self.dtype == np.float16:
+            return
+        self.check_grad(['X'], 'Out', max_relative_error=0.0005)
+
+
 class TestAbs(TestActivation):
     def setUp(self):
         self.op_type = "abs"