diff --git a/paddle/fluid/operators/elementwise/elementwise_pow_op.cc b/paddle/fluid/operators/elementwise/elementwise_pow_op.cc
index 0273743c95add61f9d019a5a293336a80e1a33c0..b6389b97476683c3fb990fd08b258cb438a974c7 100644
--- a/paddle/fluid/operators/elementwise/elementwise_pow_op.cc
+++ b/paddle/fluid/operators/elementwise/elementwise_pow_op.cc
@@ -97,10 +97,9 @@ REGISTER_OPERATOR(elementwise_pow,
                   ops::ElementwisePowOpMaker,
                   ops::ElementwiseOpInferVarType,
                   ops::ElementwisePowOpGradMaker<paddle::framework::OpDesc>,
-                  ops::ElementwisePowOpGradMaker<paddle::imperative::OpBase>);
-REGISTER_OPERATOR(elementwise_pow_grad,
-                  ops::ElementwiseOpGrad,
+                  ops::ElementwisePowOpGradMaker<paddle::imperative::OpBase>,
                   ops::ElementwisePowCompositeGradOpMaker);
+REGISTER_OPERATOR(elementwise_pow_grad, ops::ElementwiseOpGrad);
 
 REGISTER_OP_VERSION(elementwise_pow)
     .AddCheckpoint(
diff --git a/paddle/fluid/prim/api/composite_backward/composite_backward_api.h b/paddle/fluid/prim/api/composite_backward/composite_backward_api.h
index 0ac61cd4a3ea074c2032dee9915793915c1a839d..286d3cae8de5dfd3926609e1b551003a46ce47f5 100644
--- a/paddle/fluid/prim/api/composite_backward/composite_backward_api.h
+++ b/paddle/fluid/prim/api/composite_backward/composite_backward_api.h
@@ -398,7 +398,7 @@ void elementwise_pow_grad(const Tensor& x,
     // dy = lnx * x^y
     auto lnx = log<T>(x);
     auto x_pow_y = elementwise_pow<T>(x, y);
-    auto dy_res = lnx * x_pow_y;
+    auto dy_res = lnx * x_pow_y * out_grad;
     if (x.dims() != y.dims()) {
       // Maybe need reduce here
       phi::DDim reduce_dim = get_reduce_dims(y.dims(), x.dims());
@@ -418,7 +418,7 @@ void elementwise_pow_grad(const Tensor& x,
     // dx = y * x^(y-1)
     auto tmp_z = y - 1.0;
     auto x_pow_z = elementwise_pow<T>(x, tmp_z);
-    auto dx_res = y * x_pow_z;
+    auto dx_res = y * x_pow_z * out_grad;
     if (y.dims() != x.dims()) {
       // Maybe need reduce here
       auto reduce_dim = get_reduce_dims(x.dims(), y.dims());