diff --git a/paddle/function/ConvOp.h b/paddle/function/ConvOp.h
index bb4f48364b9b454af7d37fe4d3c340666e53285c..baf78bc6c88d0d294f4457b81c52b22e425d9fdb 100644
--- a/paddle/function/ConvOp.h
+++ b/paddle/function/ConvOp.h
@@ -109,6 +109,13 @@ protected:
     return filter[filter.ndims() - 1];
   }
 
+  // determine whether im2col needs to be performed
+  inline bool isNeedIm2col(const TensorShape& filter) const {
+    return !(getFilterHeight(filter) == 1 && getFilterWidth(filter) == 1 &&
+             strideH() == 1 && strideW() == 1 && paddingH() == 0 &&
+             paddingW() == 0);
+  }
+
   std::vector<size_t> strides_;
   std::vector<size_t> paddings_;
 
diff --git a/paddle/function/GemmConvOp.cpp b/paddle/function/GemmConvOp.cpp
index 9deb2739fcfff935a98a0b5b31b5d11819d81227..0ada4d70a0c7d13f9b5fb1a42eac07fc4c775a87 100644
--- a/paddle/function/GemmConvOp.cpp
+++ b/paddle/function/GemmConvOp.cpp
@@ -66,16 +66,23 @@ public:
     real* inputData = inputs[0].data<real>();
     real* filterData = inputs[1].data<real>();
     real* outputData = outputs[0].data<real>();
+    bool needIm2col = isNeedIm2col(filter);
+
     TensorShape imShape =
         TensorShape({inputChannels / groups_, inputHeight, inputWidth});
-    TensorShape colShape = TensorShape({inputChannels / groups_,
-                                        filterHeight,
-                                        filterWidth,
-                                        outputHeight,
-                                        outputWidth});
 
-    resizeBuffer<Device>(colShape.getElements());
-    real* colData = reinterpret_cast<real*>(memory_->getBuf());
+    TensorShape colShape;
+    real* colData = NULL;
+
+    if (needIm2col) {
+      colShape = TensorShape({inputChannels / groups_,
+                              filterHeight,
+                              filterWidth,
+                              outputHeight,
+                              outputWidth});
+      resizeBuffer<Device>(colShape.getElements());
+      colData = reinterpret_cast<real*>(memory_->getBuf());
+    }
 
     Im2ColFunctor<kCFO, Device, real> im2col;
     GemmFunctor<Device, real> gemm;
@@ -86,15 +93,18 @@ public:
 
     for (size_t i = 0; i < batchSize; i++) {
       for (size_t g = 0; g < groups_; g++) {
-        im2col(inputData + g * inputOffset,
-               imShape,
-               colData,
-               colShape,
-               strideH(),
-               strideW(),
-               paddingH(),
-               paddingW());
-
+        if (needIm2col) {
+          im2col(inputData + g * inputOffset,
+                 imShape,
+                 colData,
+                 colShape,
+                 strideH(),
+                 strideW(),
+                 paddingH(),
+                 paddingW());
+        } else {
+          colData = inputData + g * inputOffset;
+        }
         int M = outputChannels / groups_;
         int N = outputHeight * outputWidth;
         int K = inputChannels / groups_ * filterHeight * filterWidth;
@@ -159,19 +169,27 @@ public:
     real* outputGrad = inputs[0].data<real>();
     real* filterData = inputs[1].data<real>();
     real* inputGrad = outputs[0].data<real>();
+    bool needIm2col = isNeedIm2col(filter);
+
     TensorShape imShape =
         TensorShape({inputChannels / groups_, inputHeight, inputWidth});
-    TensorShape colShape = TensorShape({inputChannels / groups_,
-                                        filterHeight,
-                                        filterWidth,
-                                        outputHeight,
-                                        outputWidth});
 
-    resizeBuffer<Device>(colShape.getElements());
-    real* colData = reinterpret_cast<real*>(memory_->getBuf());
+    TensorShape colShape;
+    real* colData = NULL;
+
+    if (needIm2col) {
+      colShape = TensorShape({inputChannels / groups_,
+                              filterHeight,
+                              filterWidth,
+                              outputHeight,
+                              outputWidth});
+      resizeBuffer<Device>(colShape.getElements());
+      colData = reinterpret_cast<real*>(memory_->getBuf());
+    }
 
     Col2ImFunctor<kCFO, Device, real> col2im;
     GemmFunctor<Device, real> gemm;
+
     size_t inputOffset = imShape.getElements();
     size_t outputOffset =
         (outputChannels / groups_) * outputHeight * outputWidth;
@@ -182,6 +200,11 @@ public:
         int K = outputChannels / groups_;
         int N = outputHeight * outputWidth;
         int M = inputChannels / groups_ * filterHeight * filterWidth;
+        real scale = 0.0f;
+        if (!needIm2col) {
+          colData = inputGrad + g * inputOffset;
+          scale = 1.0f;
+        }
         gemm(CblasTrans,
              CblasNoTrans,
              M,
@@ -192,17 +215,19 @@ public:
              M,
              outputGrad + g * outputOffset,
              N,
-             0.0f,
+             scale,
              colData,
              N);
-        col2im(inputGrad + g * inputOffset,
-               imShape,
-               colData,
-               colShape,
-               strideH(),
-               strideW(),
-               paddingH(),
-               paddingW());
+        if (needIm2col) {
+          col2im(inputGrad + g * inputOffset,
+                 imShape,
+                 colData,
+                 colShape,
+                 strideH(),
+                 strideW(),
+                 paddingH(),
+                 paddingW());
+        }
       }
       inputGrad += inputChannels * inputHeight * inputWidth;
       outputGrad += outputChannels * outputHeight * outputWidth;
@@ -255,16 +280,23 @@ public:
     real* outputGrad = inputs[0].data<real>();
     real* inputData = inputs[1].data<real>();
     real* filterGrad = outputs[0].data<real>();
+    bool needIm2col = isNeedIm2col(filter);
+
     TensorShape imShape =
         TensorShape({inputChannels / groups_, inputHeight, inputWidth});
-    TensorShape colShape = TensorShape({inputChannels / groups_,
-                                        filterHeight,
-                                        filterWidth,
-                                        outputHeight,
-                                        outputWidth});
 
-    resizeBuffer<Device>(colShape.getElements());
-    real* colData = reinterpret_cast<real*>(memory_->getBuf());
+    TensorShape colShape;
+    real* colData = NULL;
+
+    if (needIm2col) {
+      colShape = TensorShape({inputChannels / groups_,
+                              filterHeight,
+                              filterWidth,
+                              outputHeight,
+                              outputWidth});
+      resizeBuffer<Device>(colShape.getElements());
+      colData = reinterpret_cast<real*>(memory_->getBuf());
+    }
 
     Im2ColFunctor<kCFO, Device, real> im2col;
     GemmFunctor<Device, real> gemm;
@@ -274,15 +306,18 @@ public:
     size_t filterOffset = filter.getElements() / groups_;
     for (size_t i = 0; i < batchSize; i++) {
       for (size_t g = 0; g < groups_; g++) {
-        im2col(inputData + g * inputOffset,
-               imShape,
-               colData,
-               colShape,
-               strideH(),
-               strideW(),
-               paddingH(),
-               paddingW());
-
+        if (needIm2col) {
+          im2col(inputData + g * inputOffset,
+                 imShape,
+                 colData,
+                 colShape,
+                 strideH(),
+                 strideW(),
+                 paddingH(),
+                 paddingW());
+        } else {
+          colData = inputData + g * inputOffset;
+        }
         int M = outputChannels / groups_;
         int K = outputHeight * outputWidth;
         int N = inputChannels / groups_ * filterHeight * filterWidth;