diff --git a/paddle/fluid/operators/gaussian_random_mkldnn_op.cc b/paddle/fluid/operators/gaussian_random_mkldnn_op.cc
new file mode 100644
index 0000000000000000000000000000000000000000..2748ad3e635216bcc10bf20801532a2f774b6b92
--- /dev/null
+++ b/paddle/fluid/operators/gaussian_random_mkldnn_op.cc
@@ -0,0 +1,73 @@
+/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserved.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License. */
+
+#include <string>
+#include "paddle/fluid/operators/mean_op.h"
+
+#include "mkldnn.hpp"
+#include "paddle/fluid/framework/tensor.h"
+#include "paddle/fluid/operators/math/selected_rows_functor.h"
+#include "paddle/fluid/platform/device_context.h"
+#include "paddle/fluid/platform/mkldnn_helper.h"
+
+#include "paddle/fluid/framework/eigen.h"
+namespace paddle {
+namespace operators {
+
+using paddle::framework::Tensor;
+using paddle::platform::MKLDNNDeviceContext;
+using paddle::platform::MKLDNNMemDesc;
+using paddle::platform::CPUDeviceContext;
+
+using mkldnn::memory;  // Note: paddle has also "memory" namespace
+using mkldnn::primitive;
+using mkldnn::softmax_forward;
+using mkldnn::prop_kind;
+using mkldnn::stream;
+
+using framework::DataLayout;
+template <typename T>
+class GaussianMKLDNNKernel : public paddle::framework::OpKernel<T> {
+ public:
+  void Compute(const framework::ExecutionContext& context) const override {
+    float mean = context.Attr<float>("mean");
+    float std = context.Attr<float>("std");
+    auto* tensor = context.Output<framework::Tensor>("Out");
+    T* data = tensor->mutable_data<T>(context.GetPlace());
+
+    unsigned int seed = static_cast<unsigned int>(context.Attr<int>("seed"));
+    std::minstd_rand engine;
+    if (seed == 0) {
+      seed = std::random_device()();
+    }
+    engine.seed(seed);
+    std::normal_distribution<T> dist(mean, std);
+    int64_t size = tensor->numel();
+    for (int64_t i = 0; i < size; ++i) {
+      data[i] = dist(engine);
+    }
+
+    // The format of output is set as the mkldnn's format
+    // TODO(@mozga-intel) The format of matrix sets inside the another layers.
+    tensor->set_layout(DataLayout::kMKLDNN);
+    tensor->set_format(mkldnn::memory::format::Ohwi16o);
+  }
+};
+}  // namespace operators
+}  // namespace paddle
+
+namespace ops = paddle::operators;
+
+REGISTER_OP_KERNEL(gaussian_random, MKLDNN, ::paddle::platform::CPUPlace,
+                   ops::GaussianMKLDNNKernel<float>);
diff --git a/paddle/fluid/operators/gaussian_random_op.cc b/paddle/fluid/operators/gaussian_random_op.cc
index 815c1bb50988be49ca9996e368a59344c6583d58..1488aab1926b5b4ba7bceed582700f5a11fc6c93 100644
--- a/paddle/fluid/operators/gaussian_random_op.cc
+++ b/paddle/fluid/operators/gaussian_random_op.cc
@@ -15,6 +15,10 @@ limitations under the License. */
 #include <random>
 #include "paddle/fluid/framework/op_registry.h"
 
+#ifdef PADDLE_WITH_MKLDNN
+#include "paddle/fluid/platform/mkldnn_helper.h"
+#endif
+
 namespace paddle {
 namespace operators {
 
@@ -62,9 +66,20 @@ class GaussianRandomOp : public framework::OperatorWithKernel {
  protected:
   framework::OpKernelType GetExpectedKernelType(
       const framework::ExecutionContext& ctx) const override {
+    framework::LibraryType library{framework::LibraryType::kPlain};
+    framework::DataLayout layout{framework::DataLayout::kAnyLayout};
+
+#ifdef PADDLE_WITH_MKLDNN
+    if (library == framework::LibraryType::kPlain &&
+        platform::CanMKLDNNBeUsed(ctx)) {
+      library = framework::LibraryType::kMKLDNN;
+      layout = framework::DataLayout::kMKLDNN;
+    }
+#endif
+
     return framework::OpKernelType(
         static_cast<framework::proto::VarType::Type>(ctx.Attr<int>("dtype")),
-        ctx.device_context());
+        ctx.device_context(), layout, library);
   }
 };
 
@@ -95,7 +110,9 @@ class GaussianRandomOpMaker : public framework::OpProtoAndCheckerMaker {
                  "(int, default 5(FP32)) "
                  "Output data type.")
         .SetDefault(framework::proto::VarType::FP32);
-
+    AddAttr<bool>("use_mkldnn",
+                  "(bool, default false) Only used in mkldnn kernel")
+        .SetDefault(false);
     AddComment(R"DOC(
 GaussianRandom Operator.