diff --git a/paddle/fluid/operators/optimizers/lamb_op.cc b/paddle/fluid/operators/optimizers/lamb_op.cc
index 654a8158a03d8008c8ab1d9ec5257d79fcd309c8..8adf0dea7eb34dcd92c3b207859ba51d04845f62 100644
--- a/paddle/fluid/operators/optimizers/lamb_op.cc
+++ b/paddle/fluid/operators/optimizers/lamb_op.cc
@@ -13,6 +13,8 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 
 #include "paddle/fluid/operators/optimizers/lamb_op.h"
+#include <string>
+#include "paddle/fluid/framework/op_version_registry.h"
 
 namespace paddle {
 namespace operators {
@@ -21,7 +23,7 @@ class LambOp : public framework::OperatorWithKernel {
  public:
   using framework::OperatorWithKernel::OperatorWithKernel;
 
-  void InferShape(framework::InferShapeContext* ctx) const override {
+  void InferShape(framework::InferShapeContext *ctx) const override {
     PADDLE_ENFORCE_EQ(ctx->HasInput("Param"), true,
                       platform::errors::NotFound(
                           "Input(Param) of LambOp should not be null."));
@@ -53,6 +55,12 @@ class LambOp : public framework::OperatorWithKernel {
     PADDLE_ENFORCE_EQ(ctx->HasOutput("Moment2Out"), true,
                       platform::errors::NotFound(
                           "Output(Moment2Out) of LambOp should not be null."));
+    PADDLE_ENFORCE_EQ(ctx->HasOutput("Beta1PowOut"), true,
+                      platform::errors::NotFound(
+                          "Output(Beta1PowOut) of LambOp should not be null."));
+    PADDLE_ENFORCE_EQ(ctx->HasOutput("Beta2PowOut"), true,
+                      platform::errors::NotFound(
+                          "Output(Beta2PowOut) of LambOp should not be null."));
 
     auto lr_dims = ctx->GetInputDim("LearningRate");
     PADDLE_ENFORCE_NE(
@@ -108,14 +116,26 @@ class LambOp : public framework::OperatorWithKernel {
     ctx->SetOutputDim("ParamOut", param_dims);
     ctx->SetOutputDim("Moment1Out", param_dims);
     ctx->SetOutputDim("Moment2Out", param_dims);
+    ctx->SetOutputDim("Beta1PowOut", beta1_pow_dims);
+    ctx->SetOutputDim("Beta2PowOut", beta2_pow_dims);
   }
 
   framework::OpKernelType GetExpectedKernelType(
-      const framework::ExecutionContext& ctx) const {
+      const framework::ExecutionContext &ctx) const {
     auto input_data_type =
         OperatorWithKernel::IndicateVarDataType(ctx, "Param");
     return framework::OpKernelType(input_data_type, ctx.GetPlace());
   }
+  framework::OpKernelType GetKernelTypeForVar(
+      const std::string &var_name, const framework::Tensor &tensor,
+      const framework::OpKernelType &expected_kernel_type) const {
+    if (var_name == "Beta1Pow" || var_name == "Beta2Pow") {
+      return expected_kernel_type;
+    } else {
+      return framework::OpKernelType(expected_kernel_type.data_type_,
+                                     tensor.place(), tensor.layout());
+    }
+  }
 };
 
 class LambOpMaker : public framework::OpProtoAndCheckerMaker {
@@ -136,6 +156,10 @@ class LambOpMaker : public framework::OpProtoAndCheckerMaker {
     AddOutput("ParamOut", "(Tensor) Output parameter.");
     AddOutput("Moment1Out", "(Tensor) Output first moment.");
     AddOutput("Moment2Out", "(Tensor) Output second moment.");
+    AddOutput("Beta1PowOut", "(Tensor) Output beta1 power accumulator")
+        .AsDispensable();
+    AddOutput("Beta2PowOut", "(Tensor) Output beta2 power accumulator")
+        .AsDispensable();
     AddAttr<float>("weight_decay", "(float) Weight decay rate.");
     AddAttr<float>("beta1",
                    "(float, default 0.9) The exponential decay rate for the "
@@ -164,6 +188,10 @@ m_t &= \beta_1 m_{t - 1}+ (1 - \beta_1)g_t \\
 
 v_t &= \beta_2 v_{t - 1}  + (1 - \beta_2)g_t^2 \\
 
+m_t &= \frac{m_t}{\beta_1^t} \\
+
+v_t &= \frac{v_t}{\beta_2^t} \\
+
 r_t &= \frac{m_t}{\sqrt{v_t}+\epsilon} \\
 
 w_t &= w_{t-1} -\eta_t \frac{\left \| w_{t-1}\right \|}{\left \| r_t + \lambda w_{t-1}\right \|} (r_t + \lambda w_{t-1})
@@ -183,3 +211,15 @@ REGISTER_OP_WITHOUT_GRADIENT(lamb, ops::LambOp, ops::LambOpMaker);
 REGISTER_OP_CPU_KERNEL(
     lamb, ops::LambOpKernel<paddle::platform::CPUDeviceContext, float>,
     ops::LambOpKernel<paddle::platform::CPUDeviceContext, double>);
+
+/* ==========================  register checkpoint ===========================*/
+REGISTER_OP_VERSION(lamb)
+    .AddCheckpoint(
+        R"ROC(Upgrade lamb, add two new outputs [Beta1PowOut] and [Beta2PowOut].)ROC",
+        paddle::framework::compatible::OpVersionDesc()
+            .NewInput("Beta1PowOut",
+                      "The Output beta1 power accumulator. 'Beta1PowOut' is "
+                      "dispensable.")
+            .NewInput("Beta2PowOut",
+                      "The Output beta2 power accumulator. 'Beta2PowOut' is "
+                      "dispensable."));
diff --git a/paddle/fluid/operators/optimizers/lamb_op.h b/paddle/fluid/operators/optimizers/lamb_op.h
index 58192a2f2bc4e9edae70f8325bf1a23adfa12030..749b9e795560c12af460049f1ab3f24f26998822 100644
--- a/paddle/fluid/operators/optimizers/lamb_op.h
+++ b/paddle/fluid/operators/optimizers/lamb_op.h
@@ -27,14 +27,81 @@ namespace operators {
 namespace scatter = paddle::operators::math::scatter;
 
 template <typename T>
-struct LambMomentUpdateFunctor {
+struct LambMomentREGUpdateFunctor {
+  T weight_decay_;
+  T beta1_;
+  T beta2_;
+  T epsilon_;
+
+  T beta1_pow_;
+  T* beta1_pow_out_;
+  T beta2_pow_;
+  T* beta2_pow_out_;
+  const T* moment1_;
+  T* moment1_out_;
+  const T* moment2_;
+  T* moment2_out_;
+  const T* grad_;
+  const T* param_;
+  T* trust_ratio_div_;
+
+  LambMomentREGUpdateFunctor(T weight_decay, T beta1, T beta2, T epsilon,
+                             T beta1_pow, T* beta1_pow_out, T beta2_pow,
+                             T* beta2_pow_out, const T* mom1, T* mom1_out,
+                             const T* mom2, T* mom2_out, const T* grad,
+                             const T* param, T* trust_ratio_div)
+      : weight_decay_(weight_decay),
+        beta1_(beta1),
+        beta2_(beta2),
+        epsilon_(epsilon),
+        beta1_pow_(beta1_pow),
+        beta1_pow_out_(beta1_pow_out),
+        beta2_pow_(beta2_pow),
+        beta2_pow_out_(beta2_pow_out),
+        moment1_(mom1),
+        moment1_out_(mom1_out),
+        moment2_(mom2),
+        moment2_out_(mom2_out),
+        grad_(grad),
+        param_(param),
+        trust_ratio_div_(trust_ratio_div) {}
+
+  inline HOSTDEVICE void operator()(size_t i) const {
+    T g = grad_[i];
+    T mom1 = moment1_[i];
+    T mom2 = moment2_[i];
+    T beta1_pow = beta1_pow_;
+    T beta2_pow = beta2_pow_;
+    T p = param_[i];
+
+    mom1 = beta1_ * mom1 + (1 - beta1_) * g;
+    mom2 = beta2_ * mom2 + (1 - beta2_) * g * g;
+
+    moment1_out_[i] = mom1;
+    moment2_out_[i] = mom2;
+
+    T mom1_unbiased = mom1 / (1 - beta1_pow);
+    T mom2_unbiased = mom2 / (1 - beta2_pow);
+    trust_ratio_div_[i] =
+        mom1_unbiased / (sqrt(mom2_unbiased) + epsilon_) + weight_decay_ * p;
+    if (beta1_pow_out_ && beta2_pow_out_) {
+      beta1_pow_out_[0] = beta1_pow * beta1_;
+      beta2_pow_out_[0] = beta2_pow * beta2_;
+    }
+  }
+};
+
+template <typename T>
+struct LambMomentMENUpdateFunctor {
   T weight_decay_;
   T beta1_;
   T beta2_;
   T epsilon_;
 
   const T* beta1_pow_;
+  T* beta1_pow_out_;
   const T* beta2_pow_;
+  T* beta2_pow_out_;
   const T* moment1_;
   T* moment1_out_;
   const T* moment2_;
@@ -43,16 +110,20 @@ struct LambMomentUpdateFunctor {
   const T* param_;
   T* trust_ratio_div_;
 
-  LambMomentUpdateFunctor(T weight_decay, T beta1, T beta2, T epsilon,
-                          const T* beta1_pow, const T* beta2_pow, const T* mom1,
-                          T* mom1_out, const T* mom2, T* mom2_out,
-                          const T* grad, const T* param, T* trust_ratio_div)
+  LambMomentMENUpdateFunctor(T weight_decay, T beta1, T beta2, T epsilon,
+                             const T* beta1_pow, T* beta1_pow_out,
+                             const T* beta2_pow, T* beta2_pow_out,
+                             const T* mom1, T* mom1_out, const T* mom2,
+                             T* mom2_out, const T* grad, const T* param,
+                             T* trust_ratio_div)
       : weight_decay_(weight_decay),
         beta1_(beta1),
         beta2_(beta2),
         epsilon_(epsilon),
         beta1_pow_(beta1_pow),
+        beta1_pow_out_(beta1_pow_out),
         beta2_pow_(beta2_pow),
+        beta2_pow_out_(beta2_pow_out),
         moment1_(mom1),
         moment1_out_(mom1_out),
         moment2_(mom2),
@@ -65,6 +136,8 @@ struct LambMomentUpdateFunctor {
     T g = grad_[i];
     T mom1 = moment1_[i];
     T mom2 = moment2_[i];
+    T beta1_pow = *beta1_pow_;
+    T beta2_pow = *beta2_pow_;
     T p = param_[i];
 
     mom1 = beta1_ * mom1 + (1 - beta1_) * g;
@@ -72,19 +145,110 @@ struct LambMomentUpdateFunctor {
 
     moment1_out_[i] = mom1;
     moment2_out_[i] = mom2;
-    trust_ratio_div_[i] = mom1 / (sqrt(mom2) + epsilon_) + weight_decay_ * p;
+
+    T mom1_unbiased = mom1 / (1 - beta1_pow);
+    T mom2_unbiased = mom2 / (1 - beta2_pow);
+    trust_ratio_div_[i] =
+        mom1_unbiased / (sqrt(mom2_unbiased) + epsilon_) + weight_decay_ * p;
+    if (beta1_pow_out_ && beta2_pow_out_) {
+      beta1_pow_out_[0] = beta1_pow * beta1_;
+      beta2_pow_out_[0] = beta2_pow * beta2_;
+    }
   }
 };
 
 template <typename T>
-struct SparseLambMomentUpdateFunctor {
+struct SparseLambMomentREGUpdateFunctor {
+  T weight_decay_;
+  T beta1_;
+  T beta2_;
+  T epsilon_;
+
+  T beta1_pow_;
+  T* beta1_pow_out_;
+  T beta2_pow_;
+  T* beta2_pow_out_;
+  const T* moment1_;
+  T* moment1_out_;
+  const T* moment2_;
+  T* moment2_out_;
+  const T* grad_;
+  const T* param_;
+  T* trust_ratio_div_;
+
+  const int64_t* rows_;
+  int64_t row_numel_;
+  int64_t row_count_;
+
+  SparseLambMomentREGUpdateFunctor(T weight_decay, T beta1, T beta2, T epsilon,
+                                   T beta1_pow, T* beta1_pow_out, T beta2_pow,
+                                   T* beta2_pow_out, const T* mom1, T* mom1_out,
+                                   const T* mom2, T* mom2_out, const T* grad,
+                                   const T* param, T* trust_ratio_div,
+                                   const int64_t* rows, int64_t row_numel,
+                                   int64_t row_count)
+      : weight_decay_(weight_decay),
+        beta1_(beta1),
+        beta2_(beta2),
+        epsilon_(epsilon),
+        beta1_pow_(beta1_pow),
+        beta1_pow_out_(beta1_pow_out),
+        beta2_pow_(beta2_pow),
+        beta2_pow_out_(beta2_pow_out),
+        moment1_(mom1),
+        moment1_out_(mom1_out),
+        moment2_(mom2),
+        moment2_out_(mom2_out),
+        grad_(grad),
+        param_(param),
+        trust_ratio_div_(trust_ratio_div),
+        rows_(rows),
+        row_numel_(row_numel),
+        row_count_(row_count) {}
+
+  inline HOSTDEVICE void update(size_t i, T g) const {
+    // The following code is same as dense
+    T mom1 = moment1_[i];
+    T mom2 = moment2_[i];
+    T beta1_pow = beta1_pow_;
+    T beta2_pow = beta2_pow_;
+    T p = param_[i];
+
+    mom1 = beta1_ * mom1 + (1 - beta1_) * g;
+    mom2 = beta2_ * mom2 + (1 - beta2_) * g * g;
+
+    moment1_out_[i] = mom1;
+    moment2_out_[i] = mom2;
+
+    T mom1_unbiased = mom1 / (1 - beta1_pow);
+    T mom2_unbiased = mom2 / (1 - beta2_pow);
+    trust_ratio_div_[i] =
+        mom1_unbiased / (sqrt(mom2_unbiased) + epsilon_) + weight_decay_ * p;
+    if (beta1_pow_out_ && beta1_pow_out_) {
+      beta1_pow_out_[0] = beta1_pow * beta1_;
+      beta2_pow_out_[0] = beta2_pow * beta2_;
+    }
+  }
+
+  inline HOSTDEVICE void operator()(size_t i) const {
+    auto row_idx =
+        math::BinarySearch<int64_t>(rows_, row_count_, i / row_numel_);
+    T g = row_idx >= 0 ? grad_[row_idx * row_numel_ + i % row_numel_] : 0;
+    update(i, g);
+  }
+};
+
+template <typename T>
+struct SparseLambMomentMENUpdateFunctor {
   T weight_decay_;
   T beta1_;
   T beta2_;
   T epsilon_;
 
   const T* beta1_pow_;
+  T* beta1_pow_out_;
   const T* beta2_pow_;
+  T* beta2_pow_out_;
   const T* moment1_;
   T* moment1_out_;
   const T* moment2_;
@@ -97,18 +261,21 @@ struct SparseLambMomentUpdateFunctor {
   int64_t row_numel_;
   int64_t row_count_;
 
-  SparseLambMomentUpdateFunctor(T weight_decay, T beta1, T beta2, T epsilon,
-                                const T* beta1_pow, const T* beta2_pow,
-                                const T* mom1, T* mom1_out, const T* mom2,
-                                T* mom2_out, const T* grad, const T* param,
-                                T* trust_ratio_div, const int64_t* rows,
-                                int64_t row_numel, int64_t row_count)
+  SparseLambMomentMENUpdateFunctor(T weight_decay, T beta1, T beta2, T epsilon,
+                                   const T* beta1_pow, T* beta1_pow_out,
+                                   const T* beta2_pow, T* beta2_pow_out,
+                                   const T* mom1, T* mom1_out, const T* mom2,
+                                   T* mom2_out, const T* grad, const T* param,
+                                   T* trust_ratio_div, const int64_t* rows,
+                                   int64_t row_numel, int64_t row_count)
       : weight_decay_(weight_decay),
         beta1_(beta1),
         beta2_(beta2),
         epsilon_(epsilon),
         beta1_pow_(beta1_pow),
+        beta1_pow_out_(beta1_pow_out),
         beta2_pow_(beta2_pow),
+        beta2_pow_out_(beta2_pow_out),
         moment1_(mom1),
         moment1_out_(mom1_out),
         moment2_(mom2),
@@ -124,6 +291,8 @@ struct SparseLambMomentUpdateFunctor {
     // The following code is same as dense
     T mom1 = moment1_[i];
     T mom2 = moment2_[i];
+    T beta1_pow = *beta1_pow_;
+    T beta2_pow = *beta2_pow_;
     T p = param_[i];
 
     mom1 = beta1_ * mom1 + (1 - beta1_) * g;
@@ -131,7 +300,15 @@ struct SparseLambMomentUpdateFunctor {
 
     moment1_out_[i] = mom1;
     moment2_out_[i] = mom2;
-    trust_ratio_div_[i] = mom1 / (sqrt(mom2) + epsilon_) + weight_decay_ * p;
+
+    T mom1_unbiased = mom1 / (1 - beta1_pow);
+    T mom2_unbiased = mom2 / (1 - beta2_pow);
+    trust_ratio_div_[i] =
+        mom1_unbiased / (sqrt(mom2_unbiased) + epsilon_) + weight_decay_ * p;
+    if (beta1_pow_out_ && beta1_pow_out_) {
+      beta1_pow_out_[0] = beta1_pow * beta1_;
+      beta2_pow_out_[0] = beta2_pow * beta2_;
+    }
   }
 
   inline HOSTDEVICE void operator()(size_t i) const {
@@ -211,6 +388,10 @@ class LambOpKernel : public framework::OpKernel<T> {
                                      "Output", "Moment1Out", "Lamb");
     auto& mom2_out = GET_DATA_SAFELY(ctx.Output<LoDTensor>("Moment2Out"),
                                      "Output", "Moment2Out", "Lamb");
+    auto& beta1_pow_out = GET_DATA_SAFELY(ctx.Output<LoDTensor>("Beta1PowOut"),
+                                          "Output", "Beta1PowOut", "Lamb");
+    auto& beta2_pow_out = GET_DATA_SAFELY(ctx.Output<LoDTensor>("Beta2PowOut"),
+                                          "Output", "Beta2PowOut", "Lamb");
 
     auto& dev_ctx = ctx.template device_context<DeviceContext>();
     platform::ForRange<DeviceContext> for_range(dev_ctx, param.numel());
@@ -220,16 +401,37 @@ class LambOpKernel : public framework::OpKernel<T> {
     // Update moments
     if (grad_var->IsType<framework::LoDTensor>()) {
       auto& grad = *ctx.Input<LoDTensor>("Grad");
-
-      LambMomentUpdateFunctor<T> moment_update_functor(
-          weight_decay, beta1, beta2, epsilon, beta1_pow.template data<T>(),
-          beta2_pow.template data<T>(), mom1.template data<T>(),
-          mom1_out.template mutable_data<T>(ctx.GetPlace()),
-          mom2.template data<T>(),
-          mom2_out.template mutable_data<T>(ctx.GetPlace()),
-          grad.template data<T>(), param.template data<T>(),
-          trust_ratio_div.template data<T>());
-      for_range(moment_update_functor);
+      if (platform::is_gpu_place(ctx.GetPlace()) &&
+          beta1_pow.place() == platform::CPUPlace() &&
+          beta2_pow.place() == platform::CPUPlace()) {
+        LambMomentREGUpdateFunctor<T> moment_update_functor(
+            weight_decay, beta1, beta2, epsilon, *beta1_pow.template data<T>(),
+            nullptr, *beta2_pow.template data<T>(), nullptr,
+            mom1.template data<T>(),
+            mom1_out.template mutable_data<T>(ctx.GetPlace()),
+            mom2.template data<T>(),
+            mom2_out.template mutable_data<T>(ctx.GetPlace()),
+            grad.template data<T>(), param.template data<T>(),
+            trust_ratio_div.template data<T>());
+        for_range(moment_update_functor);
+        beta1_pow_out.template mutable_data<T>(platform::CPUPlace())[0] =
+            beta1 * beta1_pow.template data<T>()[0];
+        beta2_pow_out.template mutable_data<T>(platform::CPUPlace())[0] =
+            beta2 * beta2_pow.template data<T>()[0];
+      } else {
+        LambMomentMENUpdateFunctor<T> moment_update_functor(
+            weight_decay, beta1, beta2, epsilon, beta1_pow.template data<T>(),
+            beta1_pow_out.template mutable_data<T>(ctx.GetPlace()),
+            beta2_pow.template data<T>(),
+            beta2_pow_out.template mutable_data<T>(ctx.GetPlace()),
+            mom1.template data<T>(),
+            mom1_out.template mutable_data<T>(ctx.GetPlace()),
+            mom2.template data<T>(),
+            mom2_out.template mutable_data<T>(ctx.GetPlace()),
+            grad.template data<T>(), param.template data<T>(),
+            trust_ratio_div.template data<T>());
+        for_range(moment_update_functor);
+      }
     } else if (grad_var->IsType<framework::SelectedRows>()) {
       auto& grad = GET_DATA_SAFELY(ctx.Input<framework::SelectedRows>("Grad"),
                                    "Input", "Grad", "Lamb");
@@ -264,16 +466,37 @@ class LambOpKernel : public framework::OpKernel<T> {
       const T* grad_data = grad_tensor.template data<T>();
       const int64_t* rows = grad_merge.rows().Data(ctx.GetPlace());
       auto row_numel = grad_tensor.numel() / grad_merge.rows().size();
-
-      SparseLambMomentUpdateFunctor<T> moment_update_functor(
-          weight_decay, beta1, beta2, epsilon, beta1_pow.template data<T>(),
-          beta2_pow.template data<T>(), mom1.template data<T>(),
-          mom1_out.template mutable_data<T>(ctx.GetPlace()),
-          mom2.template data<T>(),
-          mom2_out.template mutable_data<T>(ctx.GetPlace()), grad_data,
-          param.template data<T>(), trust_ratio_div.template data<T>(), rows,
-          row_numel, grad_merge.rows().size());
-      for_range(moment_update_functor);
+      if (platform::is_gpu_place(ctx.GetPlace()) &&
+          beta1_pow.place() == platform::CPUPlace() &&
+          beta2_pow.place() == platform::CPUPlace()) {
+        SparseLambMomentREGUpdateFunctor<T> moment_update_functor(
+            weight_decay, beta1, beta2, epsilon, *beta1_pow.template data<T>(),
+            nullptr, *beta2_pow.template data<T>(), nullptr,
+            mom1.template data<T>(),
+            mom1_out.template mutable_data<T>(ctx.GetPlace()),
+            mom2.template data<T>(),
+            mom2_out.template mutable_data<T>(ctx.GetPlace()), grad_data,
+            param.template data<T>(), trust_ratio_div.template data<T>(), rows,
+            row_numel, grad_merge.rows().size());
+        for_range(moment_update_functor);
+        beta1_pow_out.template mutable_data<T>(platform::CPUPlace())[0] =
+            beta1 * beta1_pow.template data<T>()[0];
+        beta2_pow_out.template mutable_data<T>(platform::CPUPlace())[0] =
+            beta2 * beta2_pow.template data<T>()[0];
+      } else {
+        SparseLambMomentMENUpdateFunctor<T> moment_update_functor(
+            weight_decay, beta1, beta2, epsilon, beta1_pow.template data<T>(),
+            beta1_pow_out.template mutable_data<T>(ctx.GetPlace()),
+            beta2_pow.template data<T>(),
+            beta2_pow_out.template mutable_data<T>(ctx.GetPlace()),
+            mom1.template data<T>(),
+            mom1_out.template mutable_data<T>(ctx.GetPlace()),
+            mom2.template data<T>(),
+            mom2_out.template mutable_data<T>(ctx.GetPlace()), grad_data,
+            param.template data<T>(), trust_ratio_div.template data<T>(), rows,
+            row_numel, grad_merge.rows().size());
+        for_range(moment_update_functor);
+      }
     } else {
       PADDLE_THROW(platform::errors::InvalidArgument(
           "Variable type not supported by lamb_op. Expect LoDTensor or "
@@ -296,7 +519,6 @@ class LambOpKernel : public framework::OpKernel<T> {
     auto* place = dev_ctx.eigen_device();
     p_norm.device(*place) = p.square().sum().sqrt();
     trust_ratio_div_norm.device(*place) = t.square().sum().sqrt();
-
     LambParamUpateFunctor<T> param_update_functor(
         lr.template data<T>(), param.template data<T>(),
         p_norm_t.template data<T>(), trust_ratio_div.template data<T>(),
diff --git a/paddle/fluid/pybind/op_function_generator.cc b/paddle/fluid/pybind/op_function_generator.cc
index 03f66208ea5523a91efa3b8a41747984ac3304c7..b1c42d91df504854122d5ec30377a9b76d52115b 100644
--- a/paddle/fluid/pybind/op_function_generator.cc
+++ b/paddle/fluid/pybind/op_function_generator.cc
@@ -89,6 +89,8 @@ std::map<std::string, std::set<std::string>> op_outs_map = {
     {"generate_proposals_v2", {"RpnRois", "RpnRoiProbs", "RpnRoisNum"}},
     {"momentum", {"ParamOut", "VelocityOut"}},
     {"rnn", {"DropoutState", "Reserve", "Out", "State"}},
+    {"lamb",
+     {"ParamOut", "Moment1Out", "Moment2Out", "Beta1PowOut", "Beta2PowOut"}},
 };
 
 // NOTE(zhiqiu): Commonly, the outputs in auto-generated OP function are
@@ -136,6 +138,8 @@ std::map<std::string, std::set<std::string>> op_passing_outs_map = {
     {"update_loss_scaling",
      {"Out", "LossScaling", "OutGoodSteps", "OutBadSteps"}},
     {"moving_average_abs_max_scale", {"OutScale", "OutAccum", "OutState"}},
+    {"lamb",
+     {"ParamOut", "Moment1Out", "Moment2Out", "Beta1PowOut", "Beta2PowOut"}},
     {"rnn", {"DropoutState"}},
 };
 
diff --git a/python/paddle/fluid/optimizer.py b/python/paddle/fluid/optimizer.py
index 3c560689e1210fcb312a2311da72c720afb2fe0a..cd2e1e9fef2781a1c28bcaf8551fd0aa87054cb6 100644
--- a/python/paddle/fluid/optimizer.py
+++ b/python/paddle/fluid/optimizer.py
@@ -2983,6 +2983,10 @@ class LambOptimizer(AdamOptimizer):
 
         v_t &= \\beta_2 v_{t - 1}  + (1 - \\beta_2)g_t^2
 
+        m_t &= \\frac{m_t}{\\beta_1^t}
+
+        v_t &= \\frac{v_t}{\\beta_2^t}
+
         r_t &= \\frac{m_t}{\\sqrt{v_t}+\\epsilon}
 
         w_t &= w_{t-1} -\\eta_t \\frac{\\left \| w_{t-1}\\right \|}{\\left \| r_t + \\lambda w_{t-1}\\right \|} (r_t + \\lambda w_{t-1})
@@ -3010,8 +3014,9 @@ class LambOptimizer(AdamOptimizer):
             Default None, meaning there is no regularization.
         grad_clip (GradientClipBase, optional): Gradient cliping strategy, it's an instance of 
             some derived class of ``GradientClipBase`` . There are three cliping strategies 
-            ( :ref:`api_fluid_clip_GradientClipByGlobalNorm` , :ref:`api_fluid_clip_GradientClipByNorm` , 
-            :ref:`api_fluid_clip_GradientClipByValue` ). Default None, meaning there is no gradient clipping.
+            ( :ref:`api_paddle_fluid_clip_ClipGradByGlobalNorm` , :ref:`api_paddle_fluid_clip_ClipGradByNorm` ,
+            :ref:`api_paddle_fluid_clip_ClipGradByValue` ). If you want better convergence, it is recommended
+            to use :ref:`api_paddle_fluid_clip_ClipGradByGlobalNorm` . Default None, meaning there is no gradient clipping.
         exclude_from_weight_decay_fn (function|None): Exclude a parameter from weight 
             decay when **exclude_from_weight_decay_fn(parameter)** returns true. 
             Default None.
@@ -3036,7 +3041,6 @@ class LambOptimizer(AdamOptimizer):
     """
     _moment1_acc_str = "moment1"
     _moment2_acc_str = "moment2"
-    # these two not used in op temporarily
     _beta1_pow_acc_str = "beta1_pow_acc"
     _beta2_pow_acc_str = "beta2_pow_acc"
 
@@ -3087,6 +3091,16 @@ class LambOptimizer(AdamOptimizer):
             weight_decay = 0.0
         else:
             weight_decay = self._weight_decay
+        lr = self._create_param_lr(param_and_grad)
+
+        if framework.in_dygraph_mode():
+            _, _, _, _, _ = core.ops.lamb(
+                param_and_grad[0], param_and_grad[1], lr, moment1, moment2,
+                beta1_pow_acc, beta2_pow_acc, param_and_grad[0], moment1,
+                moment2, beta1_pow_acc, beta2_pow_acc, 'beta1', self._beta1,
+                'beta2', self._beta2, 'epsilon', self._epsilon, 'weight_decay',
+                weight_decay)
+            return None
 
         # create the lamb optimize op
         lamb_op = block.append_op(
@@ -3094,7 +3108,7 @@ class LambOptimizer(AdamOptimizer):
             inputs={
                 "Param": param_and_grad[0],
                 "Grad": param_and_grad[1],
-                "LearningRate": self._create_param_lr(param_and_grad),
+                "LearningRate": lr,
                 "Moment1": moment1,
                 "Moment2": moment2,
                 "Beta1Pow": beta1_pow_acc,
@@ -3103,7 +3117,9 @@ class LambOptimizer(AdamOptimizer):
             outputs={
                 "ParamOut": param_and_grad[0],
                 "Moment1Out": moment1,
-                "Moment2Out": moment2
+                "Moment2Out": moment2,
+                "Beta1PowOut": beta1_pow_acc,
+                "Beta2PowOut": beta2_pow_acc
             },
             attrs={
                 "beta1": self._beta1,
diff --git a/python/paddle/fluid/tests/unittests/test_imperative_optimizer_v2.py b/python/paddle/fluid/tests/unittests/test_imperative_optimizer_v2.py
index 4b1e7ec5e69fb183b5295ef7ab5d50e2989e419a..e3d82888f6160d42db6b83562618bcc857b44dc0 100644
--- a/python/paddle/fluid/tests/unittests/test_imperative_optimizer_v2.py
+++ b/python/paddle/fluid/tests/unittests/test_imperative_optimizer_v2.py
@@ -23,7 +23,7 @@ import itertools
 import paddle
 import paddle.fluid as fluid
 from paddle.fluid import core
-from paddle.fluid.optimizer import MomentumOptimizer, LarsMomentumOptimizer, AdagradOptimizer, AdamaxOptimizer, DpsgdOptimizer, DecayedAdagradOptimizer, AdadeltaOptimizer, RMSPropOptimizer, FtrlOptimizer, LambOptimizer
+from paddle.fluid.optimizer import MomentumOptimizer, LarsMomentumOptimizer, AdagradOptimizer, AdamaxOptimizer, DpsgdOptimizer, DecayedAdagradOptimizer, AdadeltaOptimizer, RMSPropOptimizer, FtrlOptimizer
 from paddle.fluid.optimizer import ModelAverage, DGCMomentumOptimizer, ExponentialMovingAverage, PipelineOptimizer, LookaheadOptimizer, RecomputeOptimizer
 from paddle.fluid.dygraph import Linear
 from paddle.fluid.dygraph.base import to_variable
@@ -702,14 +702,14 @@ def exclude_fn(param):
 
 class TestImperativeLambOptimizer(TestImperativeOptimizerBase):
     def get_optimizer_dygraph(self, parameter_list):
-        optimizer = LambOptimizer(
+        optimizer = paddle.optimizer.Lamb(
             learning_rate=0.002,
             exclude_from_weight_decay_fn=exclude_fn,
-            parameter_list=parameter_list)
+            parameters=parameter_list)
         return optimizer
 
     def get_optimizer(self):
-        optimizer = LambOptimizer(
+        optimizer = paddle.optimizer.Lamb(
             learning_rate=0.002, exclude_from_weight_decay_fn=exclude_fn)
         return optimizer
 
diff --git a/python/paddle/fluid/tests/unittests/test_lamb_op.py b/python/paddle/fluid/tests/unittests/test_lamb_op.py
index 48375184cc7515db8309c9718592bf9bee17bcf6..26a8064dd901430c58293149b1becae4960cd6c4 100644
--- a/python/paddle/fluid/tests/unittests/test_lamb_op.py
+++ b/python/paddle/fluid/tests/unittests/test_lamb_op.py
@@ -17,9 +17,13 @@ from __future__ import print_function
 import unittest
 import numpy as np
 from op_test import OpTest
+import paddle
+import paddle.fluid as fluid
 from paddle.fluid import core
 from paddle.fluid.op import Operator
 
+paddle.enable_static()
+
 
 class TestLambOp1(OpTest):
     def set_attrs(self):
@@ -41,8 +45,8 @@ class TestLambOp1(OpTest):
 
         learning_rate = 0.001
         self.set_attrs()
-        beta1_pow = self.attrs['beta1']**10
-        beta2_pow = self.attrs['beta2']**10
+        beta1_pow = self.attrs['beta1']
+        beta2_pow = self.attrs['beta2']
 
         self.inputs = {
             'Param': param,
@@ -55,13 +59,15 @@ class TestLambOp1(OpTest):
         }
 
 
-        param_out, moment1_out, \
-            moment2_out = lamb_step(self.inputs, self.attrs)
+        param_out, moment1_out, moment2_out, \
+            beta1_pow_out, beta2_pow_out = lamb_step(self.inputs, self.attrs)
 
         self.outputs = {
             'Moment1Out': moment1_out,
             'Moment2Out': moment2_out,
-            'ParamOut': param_out
+            'ParamOut': param_out,
+            'Beta1PowOut': beta1_pow_out,
+            'Beta2PowOut': beta2_pow_out
         }
 
     def test_check_output(self):
@@ -89,14 +95,16 @@ class TestLambOpMultipleSteps(TestLambOp1):
         self.num_steps = 10
 
     def test_check_output(self):
-        for _ in range(self.num_steps):
-            param_out, moment1_out, \
-                moment2_out = lamb_step(self.inputs, self.attrs)
+        for i in range(self.num_steps):
+            param_out, moment1_out, moment2_out, \
+                beta1_pow_out, beta2_pow_out = lamb_step(self.inputs, self.attrs)
 
             self.outputs = {
                 'Moment1Out': moment1_out,
                 'Moment2Out': moment2_out,
-                'ParamOut': param_out
+                'ParamOut': param_out,
+                'Beta1PowOut': beta1_pow_out,
+                'Beta2PowOut': beta2_pow_out
             }
 
             # Verify output for this step
@@ -108,8 +116,8 @@ class TestLambOpMultipleSteps(TestLambOp1):
             self.inputs['Moment2'] = moment2_out
 
             # Update powers of Beta1 and Beta2 for next time step
-            self.inputs['Beta1Pow'] *= self.attrs['beta1']
-            self.inputs['Beta2Pow'] *= self.attrs['beta1']
+            self.inputs['Beta1Pow'] = beta1_pow_out
+            self.inputs['Beta2Pow'] = beta2_pow_out
 
             # Randomize gradient for next step
             self.inputs['Grad'] = np.random.uniform(
@@ -140,14 +148,21 @@ def lamb_step(inputs, attributes):
     moment1_out = beta1 * moment1 + (1 - beta1) * grad
     moment2_out = beta2 * moment2 + (1 - beta2) * np.square(grad)
 
+    moment1_unbiased = moment1_out / (1 - beta1_pow)
+    moment2_unbiased = moment2_out / (1 - beta2_pow)
+
     r_1 = np.linalg.norm(param)
-    r_2 = np.linalg.norm(moment1_out / (np.sqrt(moment2_out) + epsilon) +
-                         weight_decay * param)
+    r_2 = np.linalg.norm(moment1_unbiased / (np.sqrt(moment2_unbiased) + epsilon
+                                             ) + weight_decay * param)
     lr_t = lr * r_1 / r_2
 
-    param_out = param - lr_t * (moment1_out / (np.sqrt(moment2_out) + epsilon) +
-                                weight_decay * param)
-    return param_out, moment1_out, moment2_out
+    param_out = param - lr_t * (moment1_unbiased / (
+        np.sqrt(moment2_unbiased) + epsilon) + weight_decay * param)
+
+    beta1_pow_out = beta1_pow * beta1
+    beta2_pow_out = beta2_pow * beta2
+
+    return param_out, moment1_out, moment2_out, beta1_pow_out, beta2_pow_out
 
 
 def lamb_step_sparse(inputs, attributes, height, rows, row_numel, np_grad):
@@ -174,6 +189,8 @@ def lamb_step_sparse(inputs, attributes, height, rows, row_numel, np_grad):
     moment1_out = np.zeros(shape=[height, row_numel])
     moment2_out = np.zeros(shape=[height, row_numel])
     param_out = np.zeros(shape=[height, row_numel])
+    moment1_unbiased = np.zeros(shape=[height, row_numel])
+    moment2_unbiased = np.zeros(shape=[height, row_numel])
 
     def update_mom(row_id, update_value):
         moment1_out[row_id] = beta1 * moment1[row_id] + (1 - beta1
@@ -202,8 +219,10 @@ def lamb_step_sparse(inputs, attributes, height, rows, row_numel, np_grad):
         update_mom(row_id, update_value)
 
     update_param()
+    beta1_pow_out = beta1_pow * beta1
+    beta2_pow_out = beta2_pow * beta2
 
-    return param_out, moment1_out, moment2_out
+    return param_out, moment1_out, moment2_out, beta1_pow_out, beta2_pow_out
 
 
 class TestSparseLambOp(unittest.TestCase):
@@ -221,8 +240,8 @@ class TestSparseLambOp(unittest.TestCase):
             "Param": np.full((height, row_numel), 5.0).astype("float32"),
             "Moment1": np.full((height, row_numel), 5.0).astype("float32"),
             "Moment2": np.full((height, row_numel), 5.0).astype("float32"),
-            'Beta1Pow': np.array([beta1**10]).astype("float32"),
-            'Beta2Pow': np.array([beta2**10]).astype("float32"),
+            'Beta1Pow': np.array([beta1]).astype("float32"),
+            'Beta2Pow': np.array([beta2]).astype("float32"),
             "LearningRate": np.full((1), 2.0).astype("float32")
         }
         self.init_output = np.full((height, row_numel), 0.0).astype("float32")
@@ -245,12 +264,14 @@ class TestSparseLambOp(unittest.TestCase):
 
         self.sparse_inputs = ["Grad"]
 
-        param_out, mom1, mom2 = lamb_step_sparse(
+        param_out, mom1, mom2, beta1_pow_out, beta2_pow_out = lamb_step_sparse(
             self.dense_inputs, self.attrs, height, rows, row_numel, np_array)
         self.outputs = {
             "ParamOut": param_out,
             "Moment1Out": mom1,
-            "Moment2Out": mom2
+            "Moment2Out": mom2,
+            'Beta1PowOut': beta1_pow_out,
+            'Beta2PowOut': beta2_pow_out
         }
 
     def check_with_place(self, place):
diff --git a/python/paddle/fluid/tests/unittests/test_lambv2_op.py b/python/paddle/fluid/tests/unittests/test_lambv2_op.py
index cbd723db2fa0c68b8b756788fdf98cdccd6d49c9..7ffc056812f2ba1f1d1ace5d1fdc3fcf226dbd05 100644
--- a/python/paddle/fluid/tests/unittests/test_lambv2_op.py
+++ b/python/paddle/fluid/tests/unittests/test_lambv2_op.py
@@ -19,34 +19,140 @@ import numpy as np
 from op_test import OpTest
 from paddle.fluid import core
 from paddle.fluid.op import Operator
-import paddle.fluid as fluid
 import paddle
+import paddle.fluid as fluid
+import paddle.fluid.layers as layers
+
+
+class LAMBOptimizer(paddle.optimizer.Lamb):
+    def _append_optimize_op(self, block, param_and_grad):
+        assert isinstance(block, fluid.framework.Block)
+        block.program._use_lamb = True
+
+        m = moment1 = self._get_accumulator(self._moment1_acc_str,
+                                            param_and_grad[0])
+        v = self._get_accumulator(self._moment2_acc_str, param_and_grad[0])
+        beta_1_pow_acc = self._get_accumulator(self._beta1_pow_acc_str,
+                                               param_and_grad[0])
+        beta_2_pow_acc = self._get_accumulator(self._beta2_pow_acc_str,
+                                               param_and_grad[0])
+
+        beta_1 = layers.fill_constant(
+            dtype='float32', shape=[1], value=self._beta1, name='lamb_beta_1')
+        beta_2 = layers.fill_constant(
+            dtype='float32', shape=[1], value=self._beta2, name='lamb_beta_2')
+        epsilon = layers.fill_constant(
+            dtype='float32', shape=[1], value=self._epsilon, name='epsilon')
+
+        one = paddle.ones(shape=[1]).astype('float32')
+        zero = paddle.zeros(shape=[1]).astype('float32')
+
+        next_m = paddle.multiply(m, beta_1) + paddle.multiply(param_and_grad[1],
+                                                              one - beta_1)
+        next_v = paddle.multiply(v, beta_2) + paddle.multiply(
+            paddle.pow(param_and_grad[1], 2), one - beta_2)
+
+        beta1_correction = one - beta_1_pow_acc
+        beta2_correction = one - beta_2_pow_acc
+
+        next_m_unbiased = next_m / beta1_correction
+        next_v_unbiased = next_v / beta2_correction
+
+        update = next_m_unbiased / (paddle.sqrt(next_v_unbiased) + epsilon)
+
+        if self._exclude_from_weight_decay_fn is not None and self._exclude_from_weight_decay_fn(
+                param_and_grad[0]):
+            self._lamb_weight_decay = 0.0
+        update += self._lamb_weight_decay * param_and_grad[0]
+
+        w_norm = paddle.norm(param_and_grad[0], p=2)
+        g_norm = paddle.norm(update, p=2)
+
+        learning_rate = self._create_param_lr(param_and_grad)
+
+        ratio = paddle.where(
+            paddle.greater_than(w_norm, zero),
+            paddle.where(
+                paddle.greater_than(g_norm, zero), (w_norm / g_norm), one), one)
+        update_with_lr = ratio * learning_rate * update
+        next_param = param_and_grad[0] - update_with_lr
+
+        beta_1_pow_acc *= beta_1
+        beta_2_pow_acc *= beta_2
+
+        paddle.assign(next_m, m)
+        paddle.assign(next_v, v)
+        paddle.assign(next_param, param_and_grad[0])
+
+        return None
 
 
 class TestLambOpV2(unittest.TestCase):
     def test_lamb_op(self):
+        shape = [2, 4, 8, 8]
+        data = paddle.to_tensor(np.random.random(size=shape).astype("float32"))
+        conv = paddle.nn.Conv2D(4, 6, (3, 3))
+        data = conv(data)
+        loss = paddle.mean(data)
+        opt = paddle.optimizer.Lamb(
+            learning_rate=1e-5, epsilon=1e-8, parameters=conv.parameters())
+        loss.backward()
+        opt.minimize(loss)
+
+        assert loss.numpy() is not None
+
+
+class TestLambOpWithCombinedOp(unittest.TestCase):
+    def test_lamb_op_with_multi_steps(self):
         paddle.enable_static()
+
+        def _build_static_model(main, startup, seed=100):
+            with fluid.program_guard(main, startup):
+                main.random_seed = seed
+                startup.random_seed = seed
+                x = fluid.layers.data(name='X', shape=[13], dtype='float32')
+                y = fluid.layers.data(name='Y', shape=[1], dtype='float32')
+                prediction = fluid.layers.fc(input=x, size=1, act=None)
+                loss = fluid.layers.square_error_cost(input=prediction, label=y)
+                avg_loss = fluid.layers.mean(loss)
+            return avg_loss
+
         place = fluid.CPUPlace()
-        shape = [2, 3, 8, 8]
-        exe = fluid.Executor(place)
-        train_prog = fluid.Program()
-        startup = fluid.Program()
-        with fluid.program_guard(train_prog, startup):
-            with fluid.unique_name.guard():
-                data = fluid.data(name="data", shape=shape)
-                conv = fluid.layers.conv2d(data, 8, 3)
-                loss = fluid.layers.reduce_mean(conv)
-                beta1 = 0.85
-                beta2 = 0.95
-                betas = [beta1, beta2]
-                opt = paddle.optimizer.Lamb(
-                    learning_rate=1e-5, beta1=beta1, beta2=beta2, epsilon=1e-8)
-                opt.minimize(loss)
-
-        exe.run(startup)
-        data_np = np.random.random(shape).astype('float32')
-        rets = exe.run(train_prog, feed={"data": data_np}, fetch_list=[loss])
-        assert rets[0] is not None
+        num_steps = 10
+
+        for i in range(num_steps):
+            feed_x = np.random.random(size=(10, 13)).astype('float32')
+            feed_y = np.random.random(size=(10, 1)).astype('float32')
+
+            main_program = fluid.Program()
+            startup_program = fluid.Program()
+            with fluid.program_guard(main_program, startup_program):
+                avg_loss = _build_static_model(main_program, startup_program)
+                lamb_kernel = paddle.optimizer.Lamb(learning_rate=0.2)
+                lamb_kernel.minimize(avg_loss)
+
+            executor = fluid.Executor(place)
+            executor.run(startup_program)
+            output = executor.run(program=main_program,
+                                  feed={'X': feed_x,
+                                        'Y': feed_y},
+                                  fetch_list=[avg_loss.name])
+
+            main = fluid.Program()
+            startup = fluid.Program()
+            with fluid.program_guard(main, startup):
+                loss = _build_static_model(main, startup)
+                lamb = LAMBOptimizer(learning_rate=0.2)
+                lamb.minimize(loss)
+
+            exe = fluid.Executor(place)
+            exe.run(startup)
+            out = exe.run(program=main,
+                          feed={'X': feed_x,
+                                'Y': feed_y},
+                          fetch_list=[loss.name])
+
+            self.assertTrue(np.allclose(out, output))
 
 
 if __name__ == "__main__":
diff --git a/python/paddle/optimizer/lamb.py b/python/paddle/optimizer/lamb.py
index f3351ce092fa6cdc0591a35278ce5d596e3fd65f..a692f59de5b5fe0865af995c834ec2e39b5db457 100644
--- a/python/paddle/optimizer/lamb.py
+++ b/python/paddle/optimizer/lamb.py
@@ -37,6 +37,10 @@ class Lamb(Optimizer):
 
         v_t &= \\beta_2 v_{t - 1}  + (1 - \\beta_2)g_t^2
 
+        m_t &= \\frac{m_t}{\\beta_1^t}
+
+        v_t &= \\frac{v_t}{\\beta_2^t}
+
         r_t &= \\frac{m_t}{\\sqrt{v_t}+\\epsilon}
 
         w_t &= w_{t-1} -\\eta_t \\frac{\\left \| w_{t-1}\\right \|}{\\left \| r_t + \\lambda w_{t-1}\\right \|} (r_t + \\lambda w_{t-1})
@@ -59,8 +63,9 @@ class Lamb(Optimizer):
             The default value is None in static mode, at this time all parameters will be updated.
         grad_clip (GradientClipBase, optional): Gradient cliping strategy, it's an instance of
             some derived class of ``GradientClipBase`` . There are three cliping strategies
-            ( :ref:`api_fluid_clip_GradientClipByGlobalNorm` , :ref:`api_fluid_clip_GradientClipByNorm` ,
-            :ref:`api_fluid_clip_GradientClipByValue` ). Default None, meaning there is no gradient clipping.
+            ( :ref:`api_paddle_fluid_clip_ClipGradByGlobalNorm` , :ref:`api_paddle_fluid_clip_ClipGradByNorm` ,
+            :ref:`api_paddle_fluid_clip_ClipGradByValue` ). If you want better convergence, it is recommended
+            to use :ref:`api_paddle_fluid_clip_ClipGradByGlobalNorm` . Default None, meaning there is no gradient clipping.
         name(str|None): For detailed information, please refer to
             :ref:`api_guide_Name` . Usually name is no need to set and None by default.
     Examples:
@@ -81,7 +86,6 @@ class Lamb(Optimizer):
     """
     _moment1_acc_str = "moment1"
     _moment2_acc_str = "moment2"
-    # these two not used in op temporarily
     _beta1_pow_acc_str = "beta1_pow_acc"
     _beta2_pow_acc_str = "beta2_pow_acc"
 
@@ -93,6 +97,7 @@ class Lamb(Optimizer):
                  epsilon=1e-6,
                  parameters=None,
                  grad_clip=None,
+                 exclude_from_weight_decay_fn=None,
                  name=None):
         assert learning_rate is not None
         assert beta1 is not None
@@ -109,6 +114,7 @@ class Lamb(Optimizer):
         self._beta2 = beta2
         self._epsilon = epsilon
         self._lamb_weight_decay = lamb_weight_decay
+        self._exclude_from_weight_decay_fn = exclude_from_weight_decay_fn
 
     def _create_accumulators(self, block, parameters):
         assert isinstance(block, framework.Block)
@@ -145,34 +151,51 @@ class Lamb(Optimizer):
         beta2_pow_acc = self._get_accumulator(self._beta2_pow_acc_str,
                                               param_and_grad[0])
 
-        if param_and_grad[0].need_clip:
+        if self._exclude_from_weight_decay_fn is not None \
+            and self._exclude_from_weight_decay_fn(param_and_grad[0]):
             weight_decay = 0.0
         else:
             weight_decay = self._lamb_weight_decay
+        lr = self._create_param_lr(param_and_grad)
+
+        if framework.in_dygraph_mode():
+            _, _, _, _, _ = core.ops.lamb(
+                param_and_grad[0], param_and_grad[1], lr, moment1, moment2,
+                beta1_pow_acc, beta2_pow_acc, param_and_grad[0], moment1,
+                moment2, beta1_pow_acc, beta2_pow_acc, 'beta1', self._beta1,
+                'beta2', self._beta2, 'epsilon', self._epsilon, 'weight_decay',
+                weight_decay)
+            return None
 
         # create the lamb optimize op
+        inputs = {
+            "Param": param_and_grad[0],
+            "Grad": param_and_grad[1],
+            "LearningRate": lr,
+            "Moment1": moment1,
+            "Moment2": moment2,
+            "Beta1Pow": beta1_pow_acc,
+            "Beta2Pow": beta2_pow_acc
+        }
+        outputs = {
+            "ParamOut": param_and_grad[0],
+            "Moment1Out": moment1,
+            "Moment2Out": moment2,
+            "Beta1PowOut": beta1_pow_acc,
+            "Beta2PowOut": beta2_pow_acc
+        }
+        attrs = {
+            "beta1": self._beta1,
+            "beta2": self._beta2,
+            "epsilon": self._epsilon,
+            "weight_decay": weight_decay
+        }
+
         lamb_op = block.append_op(
             type=self.type,
-            inputs={
-                "Param": param_and_grad[0],
-                "Grad": param_and_grad[1],
-                "LearningRate": self._create_param_lr(param_and_grad),
-                "Moment1": moment1,
-                "Moment2": moment2,
-                "Beta1Pow": beta1_pow_acc,
-                "Beta2Pow": beta2_pow_acc
-            },
-            outputs={
-                "ParamOut": param_and_grad[0],
-                "Moment1Out": moment1,
-                "Moment2Out": moment2
-            },
-            attrs={
-                "beta1": self._beta1,
-                "beta2": self._beta2,
-                "epsilon": self._epsilon,
-                "weight_decay": weight_decay
-            },
+            inputs=inputs,
+            outputs=outputs,
+            attrs=attrs,
             stop_gradient=True)
 
         return lamb_op