diff --git a/paddle/phi/api/yaml/legacy_backward.yaml b/paddle/phi/api/yaml/legacy_backward.yaml
index 29af9df55b8facaf20906bb560b0347020370fb9..224936a4d260d66f55f2a5eb292c70ea319f739c 100755
--- a/paddle/phi/api/yaml/legacy_backward.yaml
+++ b/paddle/phi/api/yaml/legacy_backward.yaml
@@ -7,8 +7,6 @@
     param : [x]
   kernel :
     func : abs_double_grad
-  data_transform:
-    skip_transform : grad_x_grad
 
 - backward_op : abs_grad
   forward : abs (Tensor x) -> Tensor(out)
diff --git a/paddle/phi/kernels/cpu/abs_grad_kernel.cc b/paddle/phi/kernels/cpu/abs_grad_kernel.cc
index f32a9a075ce157d416b972dcb42814220ba3af8f..db6fff065c0578fa60b673be327602435a8c682a 100644
--- a/paddle/phi/kernels/cpu/abs_grad_kernel.cc
+++ b/paddle/phi/kernels/cpu/abs_grad_kernel.cc
@@ -41,4 +41,6 @@ PD_REGISTER_KERNEL(abs_double_grad,
                    int,
                    int64_t,
                    complex<float>,
-                   complex<double>) {}
+                   complex<double>) {
+  kernel->InputAt(1).SetDataType(phi::dtype::ToReal(kernel_key.dtype()));
+}
diff --git a/paddle/phi/kernels/gpu/abs_grad_kernel.cu b/paddle/phi/kernels/gpu/abs_grad_kernel.cu
index 810aaf6e2afb9b412b097e6b9c722f706c77ebf9..8edb6b71224d6d4a1b601bc632675efe890dbf86 100644
--- a/paddle/phi/kernels/gpu/abs_grad_kernel.cu
+++ b/paddle/phi/kernels/gpu/abs_grad_kernel.cu
@@ -45,4 +45,6 @@ PD_REGISTER_KERNEL(abs_double_grad,
                    int64_t,
                    phi::dtype::float16,
                    complex<float>,
-                   complex<double>) {}
+                   complex<double>) {
+  kernel->InputAt(1).SetDataType(phi::dtype::ToReal(kernel_key.dtype()));
+}