diff --git a/paddle/operators/reduce_op.cc b/paddle/operators/reduce_op.cc
index 5e878353ce978830ede03ca6284719615ed39718..46f66a1370a35593d1911fc9b3ce76beb38c0956 100644
--- a/paddle/operators/reduce_op.cc
+++ b/paddle/operators/reduce_op.cc
@@ -13,6 +13,7 @@
    limitations under the License. */
 
 #include "paddle/operators/reduce_op.h"
+#include "paddle/operators/net_op.h"
 
 namespace paddle {
 namespace operators {
@@ -159,6 +160,66 @@ class ReduceMinOpMaker : public ReduceOpMaker {
   }
 };
 
+class NormOp : public NetOp {
+ public:
+  NormOp(const std::string &type, const framework::VariableNameMap &inputs,
+         const framework::VariableNameMap &outputs,
+         const framework::AttributeMap &attrs)
+      : NetOp(type, inputs, outputs, attrs) {
+    PADDLE_ENFORCE_NE(Input("X"), framework::kEmptyVarName,
+                      "Input(X) of NormOp should not be null.");
+    PADDLE_ENFORCE_NE(Output("AbsOut"), framework::kEmptyVarName,
+                      "Output(AbsOut) of NormOp should not be null.");
+    PADDLE_ENFORCE_NE(Output("PowOut"), framework::kEmptyVarName,
+                      "Output(PowOut) of NormOp should not be null.");
+    PADDLE_ENFORCE_NE(Output("SumOut"), framework::kEmptyVarName,
+                      "Output(SumOut) of NormOp should not be null.");
+    PADDLE_ENFORCE_NE(Output("Out"), framework::kEmptyVarName,
+                      "Output(Out) of NormOp should not be null.");
+    auto dim = Attr<int>("dim");
+    auto keep_dim = Attr<bool>("keep_dim");
+    auto p = Attr<float>("p");
+    PADDLE_ENFORCE_GT(p, 0, "Order of the norm should be positive.");
+    AppendOp(framework::OpRegistry::CreateOp("abs", {{"X", {Input("X")}}},
+                                             {{"Y", {Output("AbsOut")}}}, {}));
+    AppendOp(framework::OpRegistry::CreateOp("pow", {{"X", {Output("AbsOut")}}},
+                                             {{"Y", {Output("PowOut")}}},
+                                             {{"factor", p}}));
+    framework::AttributeMap sum_attr;
+    sum_attr["dim"] = dim;
+    sum_attr["keep_dim"] = keep_dim;
+    AppendOp(framework::OpRegistry::CreateOp(
+        "reduce_sum", {{"X", {Output("PowOut")}}},
+        {{"Out", {Output("SumOut")}}}, sum_attr));
+    AppendOp(framework::OpRegistry::CreateOp(
+        "pow", {{"X", {Output("SumOut")}}}, {{"Y", {Output("Out")}}},
+        {{"factor", static_cast<float>(1. / p)}}));
+    CompleteAddOp(false);
+  }
+};
+
+class NormOpMaker : public ReduceOpMaker {
+ public:
+  NormOpMaker(framework::OpProto *proto, framework::OpAttrChecker *op_checker)
+      : ReduceOpMaker(proto, op_checker) {
+    AddOutput("AbsOut",
+              "(Tensor) The intermediate output of Norm operator, "
+              "saving the absolute value of the input tensor X.")
+        .AsIntermediate();
+    AddOutput("PowOut",
+              "(Tensor) The intermediate output of Norm operator, "
+              "saving the p-th power of the output tensor AbsOut.")
+        .AsIntermediate();
+    AddOutput("SumOut",
+              "(Tensor) the intermediate output of Norm operator, "
+              "saving the sum of PowOut reduced on the given dimension.")
+        .AsIntermediate();
+    AddAttr<float>("p", "(float, default 2) The order of Norm.").SetDefault(2);
+    SetComment("Norm", "vector p-norm");
+    AddComment(comment_);
+  }
+};
+
 }  // namespace operators
 }  // namespace paddle
 
@@ -176,6 +237,8 @@ REGISTER_OP(reduce_max, ops::ReduceOp, ops::ReduceMaxOpMaker, reduce_max_grad,
 REGISTER_OP(reduce_min, ops::ReduceOp, ops::ReduceMinOpMaker, reduce_min_grad,
             ops::ReduceGradOp);
 
+REGISTER_OP_WITHOUT_GRADIENT(norm, ops::NormOp, ops::NormOpMaker);
+
 #define REGISTER_REDUCE_CPU_KERNEL(reduce_type, functor, grad_functor)     \
   REGISTER_OP_CPU_KERNEL(                                                  \
       reduce_type,                                                         \
diff --git a/python/paddle/v2/framework/tests/test_reduce_op.py b/python/paddle/v2/framework/tests/test_reduce_op.py
index 70359d60cbe656150877673c63e81eae92d8ab9a..0fec31c2e22e1eda2c62aa9b38487d703815f414 100644
--- a/python/paddle/v2/framework/tests/test_reduce_op.py
+++ b/python/paddle/v2/framework/tests/test_reduce_op.py
@@ -85,5 +85,33 @@ class Test1DReduce(OpTest):
         self.check_grad(['X'], 'Out')
 
 
+class TestNorm(OpTest):
+    def setUp(self):
+        # use x away from 0 to avoid errors of numerical gradient when gradient near 0
+        x = np.random.random((5, 6, 10)).astype("float32") + 0.2
+        p = 2
+        dim = 1
+        keep_dim = False
+        abs_out = np.absolute(x)
+        pow_out = np.power(x, p)
+        sum_out = np.sum(pow_out, axis=dim, keepdims=keep_dim)
+        out = np.power(sum_out, 1. / p)
+        self.op_type = "norm"
+        self.inputs = {'X': x}
+        self.attrs = {"p": p, "dim": dim, "keep_dim": keep_dim}
+        self.outputs = {
+            "AbsOut": abs_out,
+            "PowOut": pow_out,
+            "SumOut": sum_out,
+            "Out": out
+        }
+
+    def test_check_output(self):
+        self.check_output()
+
+    def test_check_grad(self):
+        self.check_grad(['X'], 'Out', max_relative_error=0.01)
+
+
 if __name__ == '__main__':
     unittest.main()