diff --git a/paddle/phi/api/yaml/legacy_backward.yaml b/paddle/phi/api/yaml/legacy_backward.yaml
index a4fea714101cd877ec9dde16bdf500aa0548138f..0d00f91998d7d8201f7a76fc1827223c25891f14 100755
--- a/paddle/phi/api/yaml/legacy_backward.yaml
+++ b/paddle/phi/api/yaml/legacy_backward.yaml
@@ -19,8 +19,6 @@
     param : [x]
   kernel :
     func : abs_grad
-  data_transform:
-    skip_transform : out_grad
   backward : abs_double_grad
 
 - backward_op : acos_grad
diff --git a/paddle/phi/kernels/cpu/abs_grad_kernel.cc b/paddle/phi/kernels/cpu/abs_grad_kernel.cc
index ca42a5eb2976f62708544e3d3bdd31f63d2a004f..f32a9a075ce157d416b972dcb42814220ba3af8f 100644
--- a/paddle/phi/kernels/cpu/abs_grad_kernel.cc
+++ b/paddle/phi/kernels/cpu/abs_grad_kernel.cc
@@ -13,6 +13,7 @@
 // limitations under the License.
 
 #include "paddle/phi/common/complex.h"
+#include "paddle/phi/common/type_traits.h"
 #include "paddle/phi/core/kernel_registry.h"
 #include "paddle/phi/kernels/funcs/complex_functors.h"
 #include "paddle/phi/kernels/impl/abs_grad_kernel_impl.h"
@@ -28,7 +29,9 @@ PD_REGISTER_KERNEL(abs_grad,
                    int,
                    int64_t,
                    complex<float>,
-                   complex<double>) {}
+                   complex<double>) {
+  kernel->InputAt(1).SetDataType(phi::dtype::ToReal(kernel_key.dtype()));
+}
 PD_REGISTER_KERNEL(abs_double_grad,
                    CPU,
                    ALL_LAYOUT,
diff --git a/paddle/phi/kernels/gpu/abs_grad_kernel.cu b/paddle/phi/kernels/gpu/abs_grad_kernel.cu
index 2d96a7a88e33ea45ad138896017f6fe860619808..810aaf6e2afb9b412b097e6b9c722f706c77ebf9 100644
--- a/paddle/phi/kernels/gpu/abs_grad_kernel.cu
+++ b/paddle/phi/kernels/gpu/abs_grad_kernel.cu
@@ -16,6 +16,7 @@
 
 #include "paddle/phi/common/complex.h"
 #include "paddle/phi/common/float16.h"
+#include "paddle/phi/common/type_traits.h"
 #include "paddle/phi/core/kernel_registry.h"
 #include "paddle/phi/kernels/impl/abs_grad_kernel_impl.h"
 
@@ -31,7 +32,9 @@ PD_REGISTER_KERNEL(abs_grad,
                    int64_t,
                    phi::dtype::float16,
                    complex<float>,
-                   complex<double>) {}
+                   complex<double>) {
+  kernel->InputAt(1).SetDataType(phi::dtype::ToReal(kernel_key.dtype()));
+}
 PD_REGISTER_KERNEL(abs_double_grad,
                    GPU,
                    ALL_LAYOUT,
diff --git a/paddle/phi/kernels/xpu/abs_grad_kernel.cc b/paddle/phi/kernels/xpu/abs_grad_kernel.cc
index e49beee6847a525f54623e67ea1c48036dc83bfd..b9fab28254d29c87f2e10c2100c4b418a97b8ae2 100644
--- a/paddle/phi/kernels/xpu/abs_grad_kernel.cc
+++ b/paddle/phi/kernels/xpu/abs_grad_kernel.cc
@@ -15,6 +15,7 @@
 #include "paddle/phi/kernels/abs_grad_kernel.h"
 
 #include "paddle/phi/backends/xpu/enforce_xpu.h"
+#include "paddle/phi/common/type_traits.h"
 #include "paddle/phi/core/kernel_registry.h"
 
 namespace phi {
@@ -35,4 +36,6 @@ void AbsGradKernel(const Context& ctx,
 }
 }  // namespace phi
 
-PD_REGISTER_KERNEL(abs_grad, XPU, ALL_LAYOUT, phi::AbsGradKernel, float) {}
+PD_REGISTER_KERNEL(abs_grad, XPU, ALL_LAYOUT, phi::AbsGradKernel, float) {
+  kernel->InputAt(1).SetDataType(phi::dtype::ToReal(kernel_key.dtype()));
+}