diff --git a/clang/lib/DPCT/RulesMathLib/MapNamesBlas.cpp b/clang/lib/DPCT/RulesMathLib/MapNamesBlas.cpp
index 461e660f5056..3d0316731fd4 100644
--- a/clang/lib/DPCT/RulesMathLib/MapNamesBlas.cpp
+++ b/clang/lib/DPCT/RulesMathLib/MapNamesBlas.cpp
@@ -1624,6 +1624,12 @@ void MapNamesBlas::setExplicitNamespaceMap(
       {"CUBLASLT_EPILOGUE_RELU",
        MapNames::getLibraryHelperNamespace() +
            "blas_gemm::experimental::epilogue_t::relu"},
+      {"CUBLASLT_EPILOGUE_DGELU",
+       MapNames::getLibraryHelperNamespace() +
+           "blas_gemm::experimental::epilogue_t::dgelu_epilogue"},
+      {"CUBLASLT_EPILOGUE_bgradb",
+       MapNames::getLibraryHelperNamespace() +
+           "blas_gemm::experimental::epilogue_t::bgradb_epilogue"},
       {"CUBLASLT_MATRIX_TRANSFORM_DESC_SCALE_TYPE",
        MapNames::getLibraryHelperNamespace() +
            "blas_gemm::experimental::transform_desc_t::attribute::scale_type"},
diff --git a/clang/runtime/dpct-rt/include/dpct/blas_gemm_utils.hpp b/clang/runtime/dpct-rt/include/dpct/blas_gemm_utils.hpp
index a9ed88104b15..f0bd111e3f9e 100644
--- a/clang/runtime/dpct-rt/include/dpct/blas_gemm_utils.hpp
+++ b/clang/runtime/dpct-rt/include/dpct/blas_gemm_utils.hpp
@@ -146,6 +146,8 @@ class matmul_desc_t {
     b_scale_pointer,
     d_scale_pointer,
     absmax_d_pointer,
+    dgelu_epilogue,
+    bgradb_epilogue,
     unsupport
   };
 
@@ -188,6 +190,8 @@ class matmul_desc_t {
       CASE(epilogue_aux_ld)
       CASE(epilogue_aux_pointer)
       CASE(epilogue_aux_data_type)
+      CASE(dgelu_epilogue)
+      CASE(bgradb_epilogue)
     default:
       break;
     }
@@ -210,6 +214,9 @@ class matmul_desc_t {
   void *_absmax_d_pointer = nullptr;
   void *_bias_pointer = nullptr;
   void *_epilogue_aux_pointer = nullptr;
+  typename primitive_type::primitive_desc *_dgelu_epilogue = detail::sync_gelu_backward<::dnnl::eltwise_backward>(0.f, 0.f, new ::dnnl::memory_desc_ext(), ::dnnl::new memory_desc_ext());
+  typename primitive_type::primitive_desc *_bgradb_epilogue = detail::sync_gelu_backward<::dnnl::reduction>(0.f, 0.f, new ::dnnl::memory_desc_ext(), new ::dnnl::memory_desc_ext());
+
 
   friend sycl::event matmul(descriptor_ptr handle, matmul_desc_ptr computeDesc,
                             const void *alpha, const void *a,
@@ -222,6 +229,31 @@ class matmul_desc_t {
 
 namespace detail {
 /// Sacling each row of matrix D with the corresponding element of vector alpha.
+
+template <typename primitive_type, typename... args_type>
+inline
+typename primitive_type::primitive_desc sync_gelu_backward(
+    float alpha, float beta, const::dnnl::memory_desc_ext &src_desc,
+    const ::dnnl::memory_desc_ext &dest_desc) {
+
+  auto alg = ::dnnl::algorithm::eltwise_gelu_erf;
+  return create_primitive_desc<primitive_type>(
+                    ::dnnl::prop_kind::backward, alg, src_desc.get_desc(),
+                    dst_desc.get_desc(), alpha, beta);
+}
+
+template <typename primitive_type, typename... args_type>
+inline
+typename primitive_type::primitive_desc bias_backward(
+    float alpha, float beta, const dnnl::memory_desc_ext &src_desc,
+    const ::dnnl::memory_desc_ext &dest_desc) {
+
+  auto alg = ::dnnl::algorithm::reduction_sum;
+  return create_primitive_desc<primitive_type>(
+                    ::dnnl::prop_kind::backward, alg, src_desc.get_desc(),
+                    dst_desc.get_desc(), alpha, beta);
+}
+
 template <class T, class Talpha>
 sycl::event scale_d_with_vector_alpha_impl(::dpct::cs::queue_ptr q_ptr,
                                            int rows, int cols, T *d,
diff --git a/clang/test/dpct/cublaslt.cu b/clang/test/dpct/cublaslt.cu
index 30fb82c05b4d..9ee3b6179a3d 100644
--- a/clang/test/dpct/cublaslt.cu
+++ b/clang/test/dpct/cublaslt.cu
@@ -197,6 +197,8 @@ void foo3() {
   // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::epilogue_aux_ld;
   // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::epilogue_aux_pointer;
   // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::epilogue_aux_data_type;
+  // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::dgelu_epilogue;
+  // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::bgradb_epilogue;
   // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::unsupport;
   // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::unsupport;
   // CHECK-NEXT: d = dpct::blas_gemm::experimental::matmul_desc_t::attribute::a_scale_pointer;
@@ -220,6 +222,8 @@ void foo3() {
   d = CUBLASLT_MATMUL_DESC_EPILOGUE_AUX_LD;
   d = CUBLASLT_MATMUL_DESC_EPILOGUE_AUX_POINTER;
   d = CUBLASLT_MATMUL_DESC_EPILOGUE_AUX_DATA_TYPE;
+  d = CUBLASLT_EPILOGUE_DGELU;
+  d = CUBLASLT_EPILOGUE_BGRADB;
   d = CUBLASLT_MATMUL_DESC_SM_COUNT_TARGET;
   d = CUBLASLT_MATMUL_DESC_FAST_ACCUM;
   d = CUBLASLT_MATMUL_DESC_A_SCALE_POINTER;