diff --git a/paddle/fluid/operators/lrn_op.cc b/paddle/fluid/operators/lrn_op.cc
index 52b459a6a2e56b7c256efdb535b4652c64bae23c..61c3cb34a2472c0ba7d2a7ea5abf8e826a793951 100644
--- a/paddle/fluid/operators/lrn_op.cc
+++ b/paddle/fluid/operators/lrn_op.cc
@@ -14,6 +14,7 @@ limitations under the License. */
 
 #include "paddle/fluid/operators/lrn_op.h"
 #include <string>
+#include "paddle/fluid/operators/math/blas.h"
 #ifdef PADDLE_WITH_MKLDNN
 #include "paddle/fluid/platform/mkldnn_helper.h"
 #endif
@@ -29,34 +30,43 @@ struct LRNFunctor<platform::CPUDeviceContext, T> {
                   const framework::Tensor& input, framework::Tensor* out,
                   framework::Tensor* mid, int N, int C, int H, int W, int n,
                   T k, T alpha, T beta) {
-    auto x_v = framework::EigenVector<T>::Flatten(input);
-
-    const int start = -(n - 1) / 2;
-    const int end = start + n;
-
-    auto e_mid = framework::EigenTensor<T, 4>::From(*mid);
-    e_mid = e_mid.constant(k);
-
-    auto e_x = framework::EigenTensor<T, 4>::From(input);
-    for (int m = 0; m < N; m++) {
-      for (int i = 0; i < C; i++) {
-        for (int c = start; c < end; c++) {
-          int ch = i + c;
-          if (ch >= 0 && ch < C) {
-            auto s = e_mid.slice(Eigen::array<int, 4>({{m, i, 0, 0}}),
-                                 Eigen::array<int, 4>({{1, 1, H, W}}));
-
-            auto r = e_x.slice(Eigen::array<int, 4>({{m, ch, 0, 0}}),
-                               Eigen::array<int, 4>({{1, 1, H, W}}));
-
-            s += alpha * r.square();
-          }
-        }
+    const T* idata = input.data<T>();
+    auto place = ctx.GetPlace();
+    auto blas = math::GetBlas<platform::CPUDeviceContext, T>(ctx);
+    T* odata = out->mutable_data<T>(place);
+    T* mdata = mid->mutable_data<T>(place);
+    Tensor squared;
+    T* sdata = squared.mutable_data<T>({1, C + n - 1, H, W}, place);
+    std::memset(sdata, 0, sizeof(T) * squared.numel());
+    for (int i = 0; i < mid->numel(); ++i) {
+      mdata[i] = k;
+    }
+    int img_size = H * W;
+    int fea_size = C * img_size;
+    int pre_pad = (n - 1) / 2;
+    // compute batches one by one
+    for (int i = 0; i < N; ++i) {
+      blas.VSQR(fea_size, idata + i * fea_size, sdata + pre_pad * img_size);
+      // init the first channel of mid
+      for (int c = 0; c < n; ++c) {
+        blas.AXPY(img_size, alpha, sdata + c * img_size, mdata + i * fea_size);
+      }
+      for (int c = 1; c < C; ++c) {
+        // copy previous scale
+        int mid_offset = i * fea_size + c * img_size;
+        std::memcpy(mdata + mid_offset, mdata + mid_offset - img_size,
+                    img_size * sizeof(T));
+        // add last
+        blas.AXPY(img_size, alpha, sdata + (c + n - 1) * img_size,
+                  mdata + mid_offset);
+        // sub rest
+        blas.AXPY(img_size, -alpha, sdata + (c - 1) * img_size,
+                  mdata + mid_offset);
       }
     }
-
-    auto out_e = framework::EigenVector<T>::Flatten(*out);
-    out_e = x_v * e_mid.reshape(Eigen::DSizes<int, 1>(e_mid.size())).pow(-beta);
+    // compute the final output
+    blas.VPOW(mid->numel(), mdata, -beta, odata);
+    blas.VMUL(mid->numel(), odata, idata, odata);
   }
 };
 template struct LRNFunctor<platform::CPUDeviceContext, float>;
@@ -156,6 +166,9 @@ class LRNOp : public framework::OperatorWithKernel {
     auto x_dim = ctx->GetInputDim("X");
     PADDLE_ENFORCE_EQ(x_dim.size(), 4, "Input(X)'rank of LRNOp should be 4.");
 
+    int n = ctx->Attrs().Get<int>("n");
+    PADDLE_ENFORCE(n > 0 && n % 2 == 1, "n should be positive odd value");
+
     ctx->SetOutputDim("Out", x_dim);
     ctx->ShareLoD("X", /*->*/ "Out");
     ctx->SetOutputDim("MidOut", x_dim);
diff --git a/paddle/fluid/operators/lrn_op.h b/paddle/fluid/operators/lrn_op.h
index 0fd3175e8579df9e61368cc151a94fa45e433884..12d39c3815395896343238b536110aecac66a376 100644
--- a/paddle/fluid/operators/lrn_op.h
+++ b/paddle/fluid/operators/lrn_op.h
@@ -60,7 +60,6 @@ class LRNKernel : public framework::OpKernel<T> {
     T beta = ctx.Attr<float>("beta");
     T k = ctx.Attr<float>("k");
 
-    PADDLE_ENFORCE(n > 0, "n should >= 0");
     PADDLE_ENFORCE(alpha >= 0.0, "alpha should >= 0.0");
     PADDLE_ENFORCE(beta >= 0.0, "beta should >= 0.0");
     PADDLE_ENFORCE(k >= 0.0, "k should >= 0.0");
diff --git a/paddle/fluid/operators/math/blas.h b/paddle/fluid/operators/math/blas.h
index da185d93c09f9b06bd5968b9c8e93176f9ef014b..5d0d562030d2a20e4a1cefd3c36c6533fd35dc96 100644
--- a/paddle/fluid/operators/math/blas.h
+++ b/paddle/fluid/operators/math/blas.h
@@ -152,6 +152,12 @@ class Blas {
   template <typename T>
   void VEXP(int n, const T* x, T* y) const;
 
+  template <typename T>
+  void VSQR(int n, const T* x, T* y) const;
+
+  template <typename T>
+  void VPOW(int n, const T* x, T alpha, T* y) const;
+
   template <typename T>
   void GEMV(bool trans_a, int M, int N, T alpha, const T* A, const T* B, T beta,
             T* C) const;
@@ -238,6 +244,16 @@ class BlasT : private Blas<DeviceContext> {
     Base()->template VEXP<T>(args...);
   }
 
+  template <typename... ARGS>
+  void VSQR(ARGS... args) const {
+    Base()->template VSQR<T>(args...);
+  }
+
+  template <typename... ARGS>
+  void VPOW(ARGS... args) const {
+    Base()->template VPOW<T>(args...);
+  }
+
   template <typename... ARGS>
   void GEMV(ARGS... args) const {
     Base()->template GEMV<T>(args...);
diff --git a/paddle/fluid/operators/math/blas_impl.h b/paddle/fluid/operators/math/blas_impl.h
index e1df78d11e41c5f74e244643f40c6d0581fa6a4a..59454669be9e0f92a6fc0db52445307d88e1c7d8 100644
--- a/paddle/fluid/operators/math/blas_impl.h
+++ b/paddle/fluid/operators/math/blas_impl.h
@@ -12,6 +12,7 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 #pragma once
+#include <cmath>
 #include <limits>
 #include <vector>
 #include "paddle/fluid/operators/math/math_function.h"
@@ -102,6 +103,16 @@ struct CBlas<float> {
   static void VEXP(ARGS... args) {
     platform::dynload::vsExp(args...);
   }
+
+  template <typename... ARGS>
+  static void VSQR(ARGS... args) {
+    platform::dynload::vsSqr(args...);
+  }
+
+  template <typename... ARGS>
+  static void VPOW(ARGS... args) {
+    platform::dynload::vsPowx(args...);
+  }
 };
 
 template <>
@@ -182,6 +193,16 @@ struct CBlas<double> {
   static void VEXP(ARGS... args) {
     platform::dynload::vdExp(args...);
   }
+
+  template <typename... ARGS>
+  static void VSQR(ARGS... args) {
+    platform::dynload::vdSqr(args...);
+  }
+
+  template <typename... ARGS>
+  static void VPOW(ARGS... args) {
+    platform::dynload::vdPowx(args...);
+  }
 };
 
 #else
@@ -241,6 +262,8 @@ struct CBlas<platform::float16> {
   }
   static void VMUL(...) { PADDLE_THROW("float16 VMUL not supported on CPU"); }
   static void VEXP(...) { PADDLE_THROW("float16 VEXP not supported on CPU"); }
+  static void VSQR(...) { PADDLE_THROW("float16 VSQR not supported on CPU"); }
+  static void VPOW(...) { PADDLE_THROW("float16 VPOW not supported on CPU"); }
   static void DOT(...) { PADDLE_THROW("float16 DOT not supported on CPU"); };
   static void SCAL(...) { PADDLE_THROW("float16 SCAL not supported on CPU"); };
 #ifdef PADDLE_WITH_MKLML
@@ -398,6 +421,31 @@ void Blas<platform::CPUDeviceContext>::VEXP(int n, const T *x, T *y) const {
 #endif
 }
 
+template <>
+template <typename T>
+void Blas<platform::CPUDeviceContext>::VSQR(int n, const T *x, T *y) const {
+#ifdef PADDLE_WITH_MKLML
+  CBlas<T>::VSQR(n, x, y);
+#else
+  for (int i = 0; i < n; ++i) {
+    y[i] = std::sqrt(x[i]);
+  }
+#endif
+}
+
+template <>
+template <typename T>
+void Blas<platform::CPUDeviceContext>::VPOW(int n, const T *x, T a,
+                                            T *y) const {
+#ifdef PADDLE_WITH_MKLML
+  CBlas<T>::VPOW(n, x, a, y);
+#else
+  for (int i = 0; i < n; ++i) {
+    y[i] = std::pow(x[i], a);
+  }
+#endif
+}
+
 template <>
 template <typename T>
 T Blas<platform::CPUDeviceContext>::DOT(int n, const T *x, const T *y) const {
diff --git a/paddle/fluid/platform/dynload/mklml.h b/paddle/fluid/platform/dynload/mklml.h
index aa20553ceffceded09447693c6e92f55fb48702d..9273e9b1e72f0ad7abd6c20d4a34283fbe24378a 100644
--- a/paddle/fluid/platform/dynload/mklml.h
+++ b/paddle/fluid/platform/dynload/mklml.h
@@ -76,6 +76,10 @@ extern void* mklml_dso_handle;
   __macro(vdMul);                   \
   __macro(vsExp);                   \
   __macro(vdExp);                   \
+  __macro(vsSqr);                   \
+  __macro(vdSqr);                   \
+  __macro(vsPowx);                  \
+  __macro(vdPowx);                  \
   __macro(MKL_Set_Num_Threads)
 
 MKLML_ROUTINE_EACH(DECLARE_DYNAMIC_LOAD_MKLML_WRAP);