diff --git a/cmake/util.cmake b/cmake/util.cmake
index 8c9143462227e7081142f6be250b1a45e4b6d51b..87ad9d91d8701c56255c1e7f224764998df634a7 100644
--- a/cmake/util.cmake
+++ b/cmake/util.cmake
@@ -84,6 +84,7 @@ function(link_paddle_exe TARGET_NAME)
         paddle_parameter
         paddle_proto
         paddle_cuda
+        paddle_optimizer
         ${EXTERNAL_LIBS}
         ${CMAKE_THREAD_LIBS_INIT}
         ${CMAKE_DL_LIBS}
diff --git a/paddle/CMakeLists.txt b/paddle/CMakeLists.txt
index 47ca1833967ee705d6558b1dad06a6335b30f03a..bf1b01309ec5d023af33f6d9d6da8a8d7295d8d1 100644
--- a/paddle/CMakeLists.txt
+++ b/paddle/CMakeLists.txt
@@ -8,6 +8,7 @@ add_subdirectory(gserver)
 add_subdirectory(pserver)
 add_subdirectory(trainer)
 add_subdirectory(scripts)
+add_subdirectory(optimizer)
 add_subdirectory(strings)
 
 # Do not build go directory until go cmake is working smoothly.
diff --git a/paddle/optimizer/CMakeLists.txt b/paddle/optimizer/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..791be95efa9e8063a2f4b9632d86db2f5bc751e6
--- /dev/null
+++ b/paddle/optimizer/CMakeLists.txt
@@ -0,0 +1,16 @@
+include_directories(${CMAKE_CURRENT_BINARY_DIR})
+
+set(OPITMIZER_SRCS
+    adadelta_optimizer.cc
+    adagrad_optimizer.cc
+    adam_optimizer.cc
+    optimizer.cc
+    parameter_optimizer.cc
+    sgd_optimizer.cc
+  )
+
+add_library(paddle_optimizer STATIC ${OPITMIZER_SRCS})
+add_dependencies(paddle_optimizer gen_proto_cpp)
+
+add_simple_unittest(serialization_test)
+add_simple_unittest(parameter_optimizer_test)
diff --git a/paddle/optimizer/adadelta_optimizer.cc b/paddle/optimizer/adadelta_optimizer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..465ad5e0d2089121a0f11ab916afe0420cbcfab7
--- /dev/null
+++ b/paddle/optimizer/adadelta_optimizer.cc
@@ -0,0 +1,55 @@
+#include "adadelta_optimizer.h"
+#include <algorithm>
+#include <cmath>
+
+namespace paddle {
+namespace optimizer {
+
+void AdadeltaOptimizer::Update(const Tensor* gradient) {
+  num_sample_passed_ += 1;
+  double learning_rate = lr_policy_->LearningRate(num_sample_passed_);
+  Tensor& param = *parameter_;
+  const Tensor& grad = *gradient;
+  Tensor& accum_g = *accum_gradient_;
+  Tensor& accum_d = *accum_delta_;
+  Tensor& update_d = *update_delta_;
+  for (size_t i = 0; i < param.size(); ++i) {
+    accum_g[i] = rho_ * accum_g[i] + (1.0 - rho_) * grad[i] * grad[i];
+
+    update_d[i] = std::sqrt(accum_d[i] + epsilon_) /
+                  std::sqrt(accum_g[i] + epsilon_) * grad[i];
+
+    accum_d[i] = rho_ * accum_d[i] + (1.0 - rho_) * update_d[i] * update_d[i];
+
+    param[i] -= learning_rate * update_d[i] + learning_rate * decay_ * param[i];
+  }
+}
+
+const char* AdadeltaOptimizer::SerializeState(int* state_len) {
+  AdadeltaOptimizerState state;
+  // TODO(zhihong) : add lr_policy serialization
+  state.set_num_sample_passed(num_sample_passed_);
+
+  TensorToProto(*parameter_, state.mutable_parameter());
+  TensorToProto(*accum_gradient_, state.mutable_accum_gradient());
+  TensorToProto(*accum_delta_, state.mutable_accum_delta());
+  TensorToProto(*update_delta_, state.mutable_update_delta());
+  auto str = state.SerializeAsString();
+  *state_len = str.size();
+  return str.c_str();
+}
+
+void AdadeltaOptimizer::DeserializeState(const std::string& str) {
+  AdadeltaOptimizerState state;
+  state.ParseFromString(str);
+  // TODO(zhihong) : add lr_policy DeserializeState
+  num_sample_passed_ = state.num_sample_passed();
+
+  ProtoToTensor(state.parameter(), parameter_);
+  ProtoToTensor(state.accum_gradient(), accum_gradient_);
+  ProtoToTensor(state.accum_delta(), accum_delta_);
+  ProtoToTensor(state.update_delta(), update_delta_);
+}
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/adadelta_optimizer.h b/paddle/optimizer/adadelta_optimizer.h
new file mode 100644
index 0000000000000000000000000000000000000000..1d5eab097f57d049855dd171a1aa6f74c48ae0e7
--- /dev/null
+++ b/paddle/optimizer/adadelta_optimizer.h
@@ -0,0 +1,39 @@
+#pragma once
+
+#include "parameter_optimizer.h"
+
+namespace paddle {
+namespace optimizer {
+
+class AdadeltaOptimizer : public ParameterOptimizer {
+public:
+  AdadeltaOptimizer(
+      Tensor *parameter, LrPolicy *lr, double rho, double epsilon, double decay)
+      : ParameterOptimizer(parameter, lr),
+        accum_gradient_(new Tensor(parameter->size())),
+        accum_delta_(new Tensor(parameter->size())),
+        update_delta_(new Tensor(parameter->size())),
+        rho_(rho),
+        epsilon_(epsilon),
+        decay_(decay) {}
+
+  ~AdadeltaOptimizer() {
+    if (accum_gradient_) delete accum_gradient_;
+    if (accum_delta_) delete accum_delta_;
+    if (update_delta_) delete update_delta_;
+  }
+  void Update(const Tensor *gradient);
+  const char *SerializeState(int *state_len);
+  void DeserializeState(const std::string &state);
+
+private:
+  Tensor *accum_gradient_;
+  Tensor *accum_delta_;
+  Tensor *update_delta_;
+  double rho_;
+  double epsilon_;
+  double decay_;
+};
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/adagrad_optimizer.cc b/paddle/optimizer/adagrad_optimizer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..bdaa7877d2bc58c17c51b977852d4b6fec511ed2
--- /dev/null
+++ b/paddle/optimizer/adagrad_optimizer.cc
@@ -0,0 +1,42 @@
+#include <cmath>
+
+#include "adagrad_optimizer.h"
+
+namespace paddle {
+namespace optimizer {
+
+void AdagradOptimizer::Update(const Tensor* gradient) {
+  num_sample_passed_ += 1;
+  double learning_rate = lr_policy_->LearningRate(num_sample_passed_);
+  Tensor& param = *parameter_;
+  Tensor& accum_g = *accum_gradient_;
+  const Tensor& grad = *gradient;
+  for (size_t i = 0; i < param.size(); ++i) {
+    accum_g[i] += grad[i] * grad[i];
+    param[i] += learning_rate * grad[i] / std::sqrt(accum_g[i] + epsilon_) +
+                learning_rate * decay_ * param[i];
+  }
+}
+const char* AdagradOptimizer::SerializeState(int* state_len) {
+  AdagradOptimizerState state;
+  // TODO(zhihong) : add lr_policy serialization
+  state.set_num_sample_passed(num_sample_passed_);
+
+  TensorToProto(*parameter_, state.mutable_parameter());
+  TensorToProto(*accum_gradient_, state.mutable_accum_gradient());
+  auto str = state.SerializeAsString();
+  *state_len = str.size();
+  return str.c_str();
+}
+
+void AdagradOptimizer::DeserializeState(const std::string& str) {
+  AdagradOptimizerState state;
+  state.ParseFromString(str);
+  // TODO(zhihong) : add lr_policy DeserializeState
+  num_sample_passed_ = state.num_sample_passed();
+  ProtoToTensor(state.parameter(), parameter_);
+  ProtoToTensor(state.accum_gradient(), accum_gradient_);
+}
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/adagrad_optimizer.h b/paddle/optimizer/adagrad_optimizer.h
new file mode 100644
index 0000000000000000000000000000000000000000..15d0a965ad0c6967e73b14b465168fa66eb8fba3
--- /dev/null
+++ b/paddle/optimizer/adagrad_optimizer.h
@@ -0,0 +1,32 @@
+#pragma once
+
+#include "parameter_optimizer.h"
+
+namespace paddle {
+namespace optimizer {
+
+class AdagradOptimizer : public ParameterOptimizer {
+public:
+  AdagradOptimizer(Tensor *parameter,
+                   LrPolicy *lr,
+                   double epsilon,
+                   double decay)
+      : ParameterOptimizer(parameter, lr),
+        accum_gradient_(new Tensor(parameter->size())),
+        epsilon_(epsilon),
+        decay_(decay) {}
+  ~AdagradOptimizer() {
+    if (accum_gradient_) delete accum_gradient_;
+  }
+  void Update(const Tensor *gradient);
+  const char *SerializeState(int *state_len);
+  void DeserializeState(const std::string &state);
+
+private:
+  Tensor *accum_gradient_;
+  double epsilon_;
+  double decay_;
+};
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/adam_optimizer.cc b/paddle/optimizer/adam_optimizer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..ceab7397d87349c64ca9e5d11990cb38068421be
--- /dev/null
+++ b/paddle/optimizer/adam_optimizer.cc
@@ -0,0 +1,48 @@
+#include "adam_optimizer.h"
+#include <cmath>
+
+namespace paddle {
+namespace optimizer {
+
+void AdamOptimizer::Update(const Tensor *gradient) {
+  num_sample_passed_ += 1;
+  double learning_rate = lr_policy_->LearningRate(num_sample_passed_);
+  double coef1 = 1.0 - std::pow(beta_1_, num_sample_passed_);
+  double coef2 = 1.0 - std::pow(beta_2_, num_sample_passed_);
+  learning_rate *= std::sqrt(coef2) / coef1;
+  Tensor &param = *parameter_;
+  const Tensor &grad = *gradient;
+  Tensor &m = *momentums_;
+  Tensor &v = *velocitys_;
+  for (size_t i = 0; i < param.size(); ++i) {
+    m[i] = beta_1_ * m[i] + (1.0 - beta_1_) * grad[i];
+    v[i] = beta_2_ * v[i] + (1.0 - beta_2_) * grad[i] * grad[i];
+    param[i] -=
+        learning_rate * (m[i] / std::sqrt(v[i] + epsilon_) + decay_ * param[i]);
+  }
+}
+
+const char *AdamOptimizer::SerializeState(int *state_len) {
+  AdamOptimizerState state;
+  // TODO(zhihong) : add lr_policy serialization
+  state.set_num_sample_passed(num_sample_passed_);
+  TensorToProto(*parameter_, state.mutable_parameter());
+  TensorToProto(*momentums_, state.mutable_momentums());
+  TensorToProto(*velocitys_, state.mutable_velocitys());
+  auto str = state.SerializeAsString();
+  *state_len = str.size();
+  return str.c_str();
+}
+
+void AdamOptimizer::DeserializeState(const std::string &str) {
+  AdamOptimizerState state;
+  state.ParseFromString(str);
+  // TODO(zhihong) : add lr_policy DeserializeState
+  num_sample_passed_ = state.num_sample_passed();
+
+  ProtoToTensor(state.parameter(), parameter_);
+  ProtoToTensor(state.momentums(), momentums_);
+  ProtoToTensor(state.velocitys(), velocitys_);
+}
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/adam_optimizer.h b/paddle/optimizer/adam_optimizer.h
new file mode 100644
index 0000000000000000000000000000000000000000..0ea4c8bb8470504282b4d6c12039791ce896e401
--- /dev/null
+++ b/paddle/optimizer/adam_optimizer.h
@@ -0,0 +1,41 @@
+#pragma once
+
+#include "parameter_optimizer.h"
+
+namespace paddle {
+namespace optimizer {
+
+class AdamOptimizer : public ParameterOptimizer {
+public:
+  AdamOptimizer(Tensor *parameter,
+                LrPolicy *lr,
+                double beta_1,
+                double beta_2,
+                double epsilon,
+                double decay)
+      : ParameterOptimizer(parameter, lr),
+        momentums_(new Tensor(parameter->size())),
+        velocitys_(new Tensor(parameter->size())),
+        beta_1_(beta_1),
+        beta_2_(beta_2),
+        epsilon_(epsilon),
+        decay_(decay) {}
+  ~AdamOptimizer() {
+    if (momentums_) delete momentums_;
+    if (velocitys_) delete velocitys_;
+  }
+  void Update(const Tensor *gradient);
+  const char *SerializeState(int *state_len);
+  void DeserializeState(const std::string &state);
+
+private:
+  Tensor *momentums_;
+  Tensor *velocitys_;
+  double beta_1_;
+  double beta_2_;
+  double epsilon_;
+  double decay_;
+};
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/lr_policy.h b/paddle/optimizer/lr_policy.h
new file mode 100644
index 0000000000000000000000000000000000000000..d8e33ad37ab4c019a36f63f34babe65cf8c8fb16
--- /dev/null
+++ b/paddle/optimizer/lr_policy.h
@@ -0,0 +1,53 @@
+#pragma once
+
+#include <algorithm>
+#include "OptimizerConfig.pb.h"
+
+namespace paddle {
+namespace optimizer {
+
+class LrPolicy {
+public:
+  virtual ~LrPolicy() {}
+  virtual double LearningRate(const uint64_t num_sample_passed) = 0;
+  virtual const char *SerializeState(int *state_len) = 0;
+  virtual void DeserializeState(const std::string &state) = 0;
+};
+
+// constant learning rate policy
+class ConstLr final : public LrPolicy {
+public:
+  ConstLr(double lr) : learning_rate(lr){};
+  double LearningRate(const uint64_t num_sample_passed) {
+    return learning_rate;
+  }
+  const char *SerializeState(int *state_len) { return nullptr; }
+  void DeserializeState(const std::string &state) {}
+
+private:
+  double learning_rate;
+};
+
+class LinearLr final : public LrPolicy {
+public:
+  LinearLr(double lr, double lr_decay_a, double lr_decay_b)
+      : learning_rate(lr), lr_decay_a(lr_decay_a), lr_decay_b(lr_decay_b) {}
+  double LearningRate(const uint64_t num_sample_passed) {
+    return std::max(learning_rate - lr_decay_a * num_sample_passed, lr_decay_b);
+  }
+  const char *SerializeState(int *state_len) {
+    // TODO(zhihong) : add lr_policy serialization
+    return nullptr;
+  }
+  void DeserializeState(const std::string &state) {
+    // TODO(zhihong) : add lr_policy serialization
+  }
+
+private:
+  double learning_rate;
+  double lr_decay_a;
+  double lr_decay_b;
+};
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/optimizer.cc b/paddle/optimizer/optimizer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..54662dc37891d3211950453b210db4b475837df4
--- /dev/null
+++ b/paddle/optimizer/optimizer.cc
@@ -0,0 +1,83 @@
+#include "optimizer.h"
+#include <string>
+
+#include "parameter_optimizer.h"
+
+using namespace paddle;
+using namespace paddle::optimizer;
+
+template <paddle_element_type VALUE>
+struct EnumToType {};
+
+template <class T>
+struct TypeToEnum {};
+
+#define MATCH_ENUM_TYPE(TYPE, ENUM)                  \
+  template <>                                        \
+  struct TypeToEnum<TYPE> {                          \
+    static paddle_element_type v() { return ENUM; }; \
+    static constexpr TYPE value = ENUM;              \
+  };                                                 \
+  template <>                                        \
+  struct EnumToType<ENUM> {                          \
+    typedef TYPE Type;                               \
+  }
+
+MATCH_ENUM_TYPE(int32_t, PADDLE_ELEMENT_TYPE_INT32);
+MATCH_ENUM_TYPE(uint32_t, PADDLE_ELEMENT_TYPE_UINT32);
+MATCH_ENUM_TYPE(int64_t, PADDLE_ELEMENT_TYPE_INT64);
+MATCH_ENUM_TYPE(uint64_t, PADDLE_ELEMENT_TYPE_UINT64);
+// TODO(zhihong): only implement below type, need to fix
+MATCH_ENUM_TYPE(float, PADDLE_ELEMENT_TYPE_FLOAT32);
+MATCH_ENUM_TYPE(double, PADDLE_ELEMENT_TYPE_FLOAT64);
+
+struct paddle_optimizer {
+  paddle::optimizer::ParameterOptimizer* impl;
+};
+
+paddle_optimizer* paddle_create_optimizer(const unsigned char* config_proto,
+                                          const int config_proto_len,
+                                          const paddle_element_type data_type,
+                                          void* param_buffer,
+                                          int num_bytes,
+                                          const char* state,
+                                          const int state_len) {
+  paddle_optimizer* optimizer = new paddle_optimizer;
+  std::string config(config_proto, config_proto + config_proto_len);
+  Tensor* parameter =
+      new Tensor(reinterpret_cast<float*>(param_buffer), num_bytes);
+  optimizer->impl = ParameterOptimizer::Create(config, parameter);
+  if (state != nullptr) {
+    std::string s(state, state + state_len);
+    optimizer->impl->DeserializeState(s);
+  }
+  return optimizer;
+}
+
+int paddle_release_optimizer(paddle_optimizer* o) {
+  if (o != nullptr) delete o->impl;
+  return PADDLE_SUCCESS;
+}
+
+int paddle_update_parameter(paddle_optimizer* o,
+                            const paddle_element_type data_type,
+                            const void* grad_buffer,
+                            int num_bytes) {
+  // TOOD(zhihong): datatype not work. need to add the runtime datatype
+  auto grad_type = reinterpret_cast<const float*>(grad_buffer);
+  Tensor* gradient = new Tensor(const_cast<float*>(grad_type), num_bytes);
+  o->impl->Update(gradient);
+  return PADDLE_SUCCESS;
+}
+
+int paddle_optimizer_get_weights(paddle_optimizer* o, void** param_buffer) {
+  int param_size = 0;
+  *param_buffer = (void*)o->impl->get_weight(&param_size);
+  return param_size;
+}
+
+int paddle_optimizer_get_state(paddle_optimizer* o, const char** state) {
+  int state_len = 0;
+  *state = o->impl->SerializeState(&state_len);
+  return state_len;
+}
diff --git a/paddle/optimizer/optimizer.h b/paddle/optimizer/optimizer.h
new file mode 100644
index 0000000000000000000000000000000000000000..aabf7a458dd30092ed1e522c4d88c6cfe63fcce1
--- /dev/null
+++ b/paddle/optimizer/optimizer.h
@@ -0,0 +1,93 @@
+#pragma once
+
+#include <stdbool.h>
+#include <stdint.h>
+
+/**
+ * @brief optimizer library in independent with other module
+ * which will be used in :
+ * Case A, the gradient optimized locally on the trainer.
+ *
+ * Case B, the gradient optimized on the parameter server.
+ */
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+typedef enum {
+  PADDLE_ELEMENT_TYPE_INT32 = 0,
+  PADDLE_ELEMENT_TYPE_UINT32 = 1,
+  PADDLE_ELEMENT_TYPE_INT64 = 2,
+  PADDLE_ELEMENT_TYPE_UINT64 = 3,
+  PADDLE_ELEMENT_TYPE_FLOAT32 = 4,
+  PADDLE_ELEMENT_TYPE_FLOAT64 = 5,
+} paddle_element_type;
+
+/**
+ * @brief execution status code
+ */
+const int32_t PADDLE_SUCCESS = 0;
+const int32_t PADDLE_ERROR = -1;
+
+typedef struct paddle_optimizer paddle_optimizer;
+/**
+ * this group interface called in order :
+ * 1. create optimizer with config
+ * 2. set weights
+ * 3. update_parameter
+ * 4. get_weights
+ * 5. release optimizer
+ */
+
+/**
+ *  @brief create optimizer with proto_config
+ *  @param config_proto, optimizer protobuf, see OptimizerConfig.proto in detail
+ *  @return return optimizer instance
+ */
+paddle_optimizer* paddle_create_optimizer(const unsigned char* config_proto,
+                                          const int config_proto_len,
+                                          const paddle_element_type data_type,
+                                          void* param_buffer,
+                                          int num_bytes,
+                                          const char* state,
+                                          const int state_len);
+
+/**
+ *  @brief release optimizer
+ *  @param optimizer
+ *  @return return exec status
+ */
+int paddle_release_optimizer(paddle_optimizer* o);
+
+/**
+ *  @brief optimizer instance
+ *  @param datatype of gradient and parameter
+ *  @param gradient, calculate by optimzizer caller.
+ *       TODO(zhihong): just pass loss to reduce communicate overhead.
+ *                     Project Adam Ms'14 paper for detail
+ *  @param num_bytes, gradient size
+ *  @return return exec status
+ */
+int paddle_update_parameter(paddle_optimizer* o,
+                            const paddle_element_type data_type,
+                            const void* gradient,
+                            int num_bytes);
+
+/**
+ *  @brief optimizer for get parameter buffer
+ *  @param param_buffer, initilized parameter buffer
+ *  @return return content length
+ */
+int paddle_optimizer_get_weights(paddle_optimizer* o, void** param_buffer);
+
+/**
+ *  @brief optimzizer for saving training state
+ *  @param training state for receive SerializeState
+ *  @return return state_buffer length
+ */
+int paddle_optimizer_get_state(paddle_optimizer* o, const char** state);
+
+#ifdef __cplusplus
+}
+#endif
diff --git a/paddle/optimizer/parameter_optimizer.cc b/paddle/optimizer/parameter_optimizer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..f6218037925649e741d17f49af972ce2d50f8d3d
--- /dev/null
+++ b/paddle/optimizer/parameter_optimizer.cc
@@ -0,0 +1,74 @@
+#include <glog/logging.h>
+#include "adadelta_optimizer.h"
+#include "adagrad_optimizer.h"
+#include "adam_optimizer.h"
+#include "lr_policy.h"
+#include "sgd_optimizer.h"
+
+#include "parameter_optimizer.h"
+
+namespace paddle {
+namespace optimizer {
+
+ParameterOptimizer *ParameterOptimizer::Create(const std::string &config_proto,
+                                               Tensor *parameter) {
+  paddle::OptimizerConfig config;
+  CHECK(config.ParseFromString(config_proto) == true)
+      << "failed parse optimizer config";
+  auto select_lr_policy = [=](const OptimizerConfig &config) -> LrPolicy * {
+    if (config.lr_policy() == OptimizerConfig::Const)
+      return new ConstLr(config.const_lr().learning_rate());
+    if (config.lr_policy() == OptimizerConfig::Linear)
+      return new LinearLr(config.linear_lr().learning_rate(),
+                          config.linear_lr().lr_decay_a(),
+                          config.linear_lr().lr_decay_b());
+    // default
+    LOG(WARNING) << " have not select any LrPolicy. use ConstLr in default";
+    return new ConstLr(0.1);
+  };
+
+  LrPolicy *lr = select_lr_policy(config);
+  auto select_optimizer = [=](
+      Tensor *parameter,
+      const OptimizerConfig &config) -> ParameterOptimizer * {
+    if (config.optimizer() == OptimizerConfig::SGD) {
+      return new SGDOptimizer(parameter,
+                              lr,
+                              config.sgd().momentum(),
+                              config.sgd().decay(),
+                              config.sgd().nesterov());
+    }
+    if (config.optimizer() == OptimizerConfig::Adadelta) {
+      return new AdadeltaOptimizer(parameter,
+                                   lr,
+                                   config.adadelta().rho(),
+                                   config.adadelta().epsilon(),
+                                   config.adadelta().decay());
+    }
+    if (config.optimizer() == OptimizerConfig::Adagrad) {
+      return new AdagradOptimizer(
+          parameter, lr, config.adagrad().epsilon(), config.adagrad().decay());
+    }
+    if (config.optimizer() == OptimizerConfig::Adam) {
+      return new AdamOptimizer(parameter,
+                               lr,
+                               config.adam().beta_1(),
+                               config.adam().beta_2(),
+                               config.adam().epsilon(),
+                               config.adam().decay());
+    }
+    // default
+    LOG(WARNING)
+        << "have not select any Optimizer. use SGDOptimizer in default";
+    return new SGDOptimizer(parameter, lr, 0.0, 0.0, false);
+  };
+  return select_optimizer(parameter, config);
+}
+
+float *ParameterOptimizer::get_weight(int *param_size) const {
+  *param_size = (int)parameter_->size();
+  return parameter_->get_buffer();
+}
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/parameter_optimizer.h b/paddle/optimizer/parameter_optimizer.h
new file mode 100644
index 0000000000000000000000000000000000000000..d89c9abb791f947172078d4dce5b1c366852591b
--- /dev/null
+++ b/paddle/optimizer/parameter_optimizer.h
@@ -0,0 +1,42 @@
+#pragma once
+
+#include <glog/logging.h>
+#include <functional>
+#include <string>
+#include "OptimizerConfig.pb.h"
+#include "lr_policy.h"
+#include "serialization.h"
+#include "tensor.h"
+
+namespace paddle {
+namespace optimizer {
+
+class ParameterOptimizer {
+public:
+  /**
+   * @brief  update hook for algorithm need to traverse parameter more than
+   * once.
+   */
+  ParameterOptimizer(Tensor *parameter, LrPolicy *lr)
+      : parameter_(parameter), lr_policy_(lr), num_sample_passed_(0) {}
+  virtual ~ParameterOptimizer() {
+    delete parameter_;
+    delete lr_policy_;
+  }
+
+  static ParameterOptimizer *Create(const std::string &config_proto,
+                                    Tensor *parameter);
+  virtual void Update(const Tensor *gradient) = 0;
+  virtual float *get_weight(int *param_size) const;
+  virtual const char *SerializeState(int *state_len) = 0;
+  virtual void DeserializeState(const std::string &state) = 0;
+
+protected:
+  Tensor *parameter_;
+  // learning rate policy
+  LrPolicy *lr_policy_;
+  uint64_t num_sample_passed_;
+};
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/parameter_optimizer_test.cpp b/paddle/optimizer/parameter_optimizer_test.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4e6254d9e4dab48279b4a880695959526d30d70c
--- /dev/null
+++ b/paddle/optimizer/parameter_optimizer_test.cpp
@@ -0,0 +1,107 @@
+#include "parameter_optimizer.h"
+#include <cmath>
+#include <map>
+#include <vector>
+#include "gtest/gtest.h"
+#include "lr_policy.h"
+
+using namespace paddle;
+using namespace paddle::optimizer;
+
+Tensor* FillTensor(size_t size) {
+  Tensor* param = new Tensor(size);
+  Tensor& p = *param;
+  for (size_t i = 0; i < p.size(); ++i) {
+    p[i] = (float)rand() / (float)RAND_MAX;
+  }
+  return param;
+}
+
+Tensor* FixedTensor(size_t size) {
+  Tensor* param = new Tensor(size);
+  Tensor& p = *param;
+  for (size_t i = 0; i < p.size(); ++i) {
+    p[i] = i;
+  }
+  return param;
+}
+
+class OptimizerTest : public testing::Test {
+public:
+  // init tensor shape
+  const size_t kSize = 5;
+
+  virtual void SetUp() {
+    CreateSGD();
+    CreateAdam();
+  }
+  virtual void TearDown() {}
+
+  void CreateSGD() {
+    Tensor* parameter = FixedTensor(kSize);
+    config_.set_optimizer(OptimizerConfig::SGD);
+    config_.mutable_sgd()->set_momentum(0.0);
+    config_.mutable_sgd()->set_decay(0.0);
+    config_.mutable_sgd()->set_nesterov(false);
+    config_.set_lr_policy(OptimizerConfig::Const);
+    config_.mutable_const_lr()->set_learning_rate(0.1);
+    std::string str = config_.SerializeAsString();
+    ParameterOptimizer* opt = ParameterOptimizer::Create(str, parameter);
+    opts_.push_back(opt);
+  }
+
+  void CreateAdam() {
+    Tensor* parameter = FixedTensor(kSize);
+    config_.set_optimizer(OptimizerConfig::Adam);
+    config_.mutable_adam()->set_beta_1(0.9);
+    config_.mutable_adam()->set_beta_2(0.1);
+    config_.mutable_adam()->set_epsilon(1e-3);
+    config_.mutable_adam()->set_decay(0.0);
+    config_.set_lr_policy(OptimizerConfig::Const);
+    config_.mutable_const_lr()->set_learning_rate(0.1);
+    std::string str = config_.SerializeAsString();
+    ParameterOptimizer* opt = ParameterOptimizer::Create(str, parameter);
+    opts_.push_back(opt);
+  }
+
+  void TestGetWeight() {
+    Tensor* p = FixedTensor(kSize);
+    for (size_t i = 0; i < opts_.size(); ++i) {
+      int s = 0;
+      float* newp = (float*)opts_[i]->get_weight(&s);
+      for (size_t j = 0; j < kSize; ++j) {
+        EXPECT_EQ(newp[j], (*p)[j]);
+      }
+    }
+  }
+
+  void TestUpdate() {
+    Tensor* g = FixedTensor(kSize);
+    for (size_t i = 0; i < opts_.size(); ++i) {
+      opts_[i]->Update(g);
+    }
+  }
+
+  void TestCheckPoint() {
+    for (size_t i = 0; i < opts_.size(); ++i) {
+      int state_len = 0;
+      std::string state = opts_[i]->SerializeState(&state_len);
+      opts_[i]->DeserializeState(state);
+    }
+  }
+
+private:
+  std::vector<ParameterOptimizer*> opts_;
+  OptimizerConfig config_;
+};
+
+TEST_F(OptimizerTest, TestGetWeight) { TestGetWeight(); }
+
+TEST_F(OptimizerTest, TestUpdate) { TestUpdate(); }
+
+TEST_F(OptimizerTest, TestCheckPoint) { TestCheckPoint(); }
+
+int main(int argc, char** argv) {
+  testing::InitGoogleTest(&argc, argv);
+  return RUN_ALL_TESTS();
+}
diff --git a/paddle/optimizer/serialization.h b/paddle/optimizer/serialization.h
new file mode 100644
index 0000000000000000000000000000000000000000..92fbf65cc6b98d7f92841bafe4ab77001ca03b7c
--- /dev/null
+++ b/paddle/optimizer/serialization.h
@@ -0,0 +1,35 @@
+#pragma once
+
+#include <iostream>
+#include <sstream>
+#include <string>
+#include <type_traits>
+#include "OptimizerConfig.pb.h"
+#include "paddle/utils/Logging.h"
+#include "tensor.h"
+
+namespace paddle {
+namespace optimizer {
+
+static void TensorToProto(const Tensor& tensor, TensorProto* proto) {
+  proto->set_data_type(TensorProto::PADDLE_ELEMENT_TYPE_FLOAT32);
+  std::stringstream os;
+  for (size_t i = 0; i < tensor.size(); ++i) {
+    os << tensor[i];
+    proto->add_content(os.str());
+    os.str(std::string());
+  }
+}
+
+static void ProtoToTensor(const TensorProto& proto, Tensor* tensor) {
+  std::stringstream sin;
+  for (auto i = 0; i < proto.content_size(); ++i) {
+    sin << proto.content(i);
+    sin >> (*tensor)[i];
+    sin.str(std::string());
+    sin.clear();
+  }
+}
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/serialization_test.cpp b/paddle/optimizer/serialization_test.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..d2454140dc243b40ed8348578360b30894213838
--- /dev/null
+++ b/paddle/optimizer/serialization_test.cpp
@@ -0,0 +1,25 @@
+#include "serialization.h"
+#include "gtest/gtest.h"
+
+using namespace paddle;
+using namespace paddle::optimizer;
+
+TEST(TensorToProto, Case1) {
+  Tensor t(3), t1(3);
+  for (size_t i = 0; i < t.size(); ++i) {
+    t[i] = i;
+    t1[i] = 0;
+  }
+
+  TensorProto proto;
+  TensorToProto(t, &proto);
+  ProtoToTensor(proto, &t1);
+  for (size_t i = 0; i < t1.size(); ++i) {
+    EXPECT_EQ(t1[i], t[i]);
+  }
+}
+
+int main(int argc, char** argv) {
+  testing::InitGoogleTest(&argc, argv);
+  return RUN_ALL_TESTS();
+}
diff --git a/paddle/optimizer/sgd_optimizer.cc b/paddle/optimizer/sgd_optimizer.cc
new file mode 100644
index 0000000000000000000000000000000000000000..34e051003fa83f11b1f4a39c46856e0372836a1a
--- /dev/null
+++ b/paddle/optimizer/sgd_optimizer.cc
@@ -0,0 +1,49 @@
+#include "sgd_optimizer.h"
+#include "serialization.h"
+
+namespace paddle {
+namespace optimizer {
+
+void SGDOptimizer::Update(const Tensor *gradient) {
+  num_sample_passed_ += 1;
+  double learning_rate = lr_policy_->LearningRate(num_sample_passed_);
+  float velocity = 0.0;
+  Tensor &param = *parameter_;
+  const Tensor &grad = *gradient;
+  Tensor &m = *momentums_;
+  for (size_t i = 0; i < param.size(); ++i) {
+    if (momentum_ == 0.0) {
+      velocity = -learning_rate * grad[i] - learning_rate * decay_ * param[i];
+    } else {
+      m[i] = momentum_ * m[i] - learning_rate * grad[i] -
+             learning_rate * decay_ * param[i];
+      velocity = m[i];
+    }
+    if (nesterov_) {
+      param[i] += momentum_ * velocity - learning_rate * grad[i];
+    } else {
+      param[i] += velocity;
+    }
+  }
+}
+
+const char *SGDOptimizer::SerializeState(int *state_len) {
+  SGDOptimizerState state;
+  state.set_num_sample_passed(num_sample_passed_);
+  TensorToProto(*parameter_, state.mutable_parameter());
+  if (momentum_ != 0.0) TensorToProto(*momentums_, state.mutable_momentums());
+  auto str = state.SerializeAsString();
+  *state_len = str.size();
+  return str.c_str();
+}
+
+void SGDOptimizer::DeserializeState(const std::string &str) {
+  SGDOptimizerState state;
+  state.ParseFromString(str);
+  num_sample_passed_ = state.num_sample_passed();
+  ProtoToTensor(state.parameter(), parameter_);
+  if (momentum_ != 0.0) ProtoToTensor(state.parameter(), momentums_);
+}
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/sgd_optimizer.h b/paddle/optimizer/sgd_optimizer.h
new file mode 100644
index 0000000000000000000000000000000000000000..b74a902e1aa40a7831b36ab826d72372a3588bcf
--- /dev/null
+++ b/paddle/optimizer/sgd_optimizer.h
@@ -0,0 +1,37 @@
+#pragma once
+
+#include "parameter_optimizer.h"
+
+namespace paddle {
+namespace optimizer {
+
+class SGDOptimizer : public ParameterOptimizer {
+public:
+  SGDOptimizer(Tensor* parameter, LrPolicy* lr, double m, double d, bool n)
+      : ParameterOptimizer(parameter, lr),
+        momentums_(nullptr),
+        momentum_(m),
+        decay_(d),
+        nesterov_(n) {
+    if (momentum_ != 0.0) {
+      size_t size = parameter->size();
+      // TODO: fix it with align aware allocator bind to Tensor
+      momentums_ = new Tensor(size);
+    }
+  }
+  virtual ~SGDOptimizer() {
+    if (momentums_) delete momentums_;
+  }
+  void Update(const Tensor* gradient);
+  const char* SerializeState(int* state_len);
+  void DeserializeState(const std::string& state);
+
+private:
+  Tensor* momentums_;
+  double momentum_;
+  double decay_;
+  bool nesterov_;
+};
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/paddle/optimizer/tensor.h b/paddle/optimizer/tensor.h
new file mode 100644
index 0000000000000000000000000000000000000000..80a8c93081ea7758d3b5ba016a14d424954db913
--- /dev/null
+++ b/paddle/optimizer/tensor.h
@@ -0,0 +1,54 @@
+#pragma once
+/**
+ * @brief tensor used by optimizer
+ */
+
+#include <string.h>
+#include <memory>
+#include "paddle/utils/Common.h"
+#include "paddle/utils/Logging.h"
+
+namespace paddle {
+namespace optimizer {
+
+template <class T>
+class TensorT {
+public:
+  TensorT(size_t size) : height_(1), width_(size) {
+    data_ptr_ = std::shared_ptr<T>(new T[size], std::default_delete<T[]>());
+    data_ = data_ptr_.get();
+  }
+
+  TensorT(T* data, size_t size)
+      : height_(1), width_(size), data_ptr_(nullptr), data_(data) {}
+
+  TensorT(T* data, size_t h, size_t w)
+      : height_(h), width_(w), data_ptr_(nullptr), data_(data) {}
+
+  virtual ~TensorT() {}
+
+  T* get_buffer() { return this->data_; }
+
+  T& operator[](const size_t idx) {
+    CHECK(idx >= 0 && idx < this->width_) << "out of index range";
+    return data_[idx];
+  }
+  T& operator[](const size_t idx) const {
+    CHECK(idx >= 0 && idx < this->width_) << "out of index range";
+    return data_[idx];
+  }
+  // TODO: replace with tensorshape
+  size_t size() const { return this->width_ * this->height_; }
+
+protected:
+  size_t height_;
+  size_t width_;
+  std::shared_ptr<T> data_ptr_;
+  T* data_;
+};
+
+// TODO(zhihong): design problem of dynamic datatype, need to fix it
+typedef TensorT<float> Tensor;
+
+}  // namespace optimizer
+}  // namespace paddle
diff --git a/proto/CMakeLists.txt b/proto/CMakeLists.txt
index 62d5b9e38b21ee82d1e78c3bde5aa5df7e4a33ee..9b98dd3fde4d141a35d93c0981acb287831c3eaf 100644
--- a/proto/CMakeLists.txt
+++ b/proto/CMakeLists.txt
@@ -5,6 +5,7 @@ set(proto_filenames
     ParameterConfig.proto
     ParameterService.proto
     TrainerConfig.proto
+    OptimizerConfig.proto
     ParameterServerConfig.proto)
 
 set(PROTO_GEN)
diff --git a/proto/OptimizerConfig.proto b/proto/OptimizerConfig.proto
new file mode 100644
index 0000000000000000000000000000000000000000..c698d3c2ddbf58a41ac6ee960af83a257325d1f9
--- /dev/null
+++ b/proto/OptimizerConfig.proto
@@ -0,0 +1,154 @@
+syntax = "proto2";
+ 
+option optimize_for = LITE_RUNTIME;
+
+package paddle;
+
+message SGDConfig {
+  // SGD
+  // momentum: float >= 0. Parameter updates momentum.
+  // decay: float >= 0. Learning rate decay over each update.
+  // nesterov: boolean. Whether to apply Nesterov momentum.
+  optional double momentum = 21 [default = 0.0];
+  optional double decay = 23 [default = 0.0];
+  optional bool nesterov =24 [default = false];
+
+}
+
+
+message AdadeltaConfig {
+  // Adadelta
+  // It is recommended to leave it at the default value.
+  // rho: float >= 0.
+  // epsilon: float >= 0. Fuzz factor.
+  // decay: float >= 0. Learning rate decay over each update.
+
+  // reference : [Adadelta - an adaptive learning rate method](http://arxiv.org/abs/1212.5701)
+  optional double rho = 33 [default = 0.90];
+  optional double epsilon = 31 [default = 1e-5];
+  optional double decay = 32 [default = 0.0];
+
+}
+
+message AdagradConfig {
+// Adagrad
+// epsilon: float >= 0.
+// decay: float >= 0. Learning rate decay over each update.
+
+// reference : [Adaptive Subgradient Methods for Online Learning and Stochastic Optimization](http://www.jmlr.org/papers/volume12/duchi11a/duchi11a.pdf)
+  optional double epsilon = 41 [default = 1e-5];
+  optional double decay = 42 [default = 0.0];
+}
+
+message AdamConfig {
+  // Adaj
+  // beta_1: float, 0 < beta < 1. Generally close to 1.
+  // beta_2: float, 0 < beta < 1. Generally close to 1.
+  // epsilon: float >= 0. Fuzz factor.
+  // decay: float >= 0. Learning rate decay over each update.
+  // reference : [Adam - A Method for Stochastic Optimization](http://arxiv.org/abs/1412.6980v8)
+  optional double beta_1 = 41;
+  optional double beta_2 = 42;
+  optional double epsilon = 43;
+  optional double decay = 44;
+}
+
+message ConstLrConfig {
+  // learninRate Policy
+  optional double learning_rate = 1 [default = 1.0];
+}
+
+message LinearLrConfig {
+  // learninRate Policy
+  optional double learning_rate = 1 [default = 1.0];
+  optional double lr_decay_a = 2;
+  optional double lr_decay_b = 3;
+}
+
+message TensorProto {
+enum DataType {
+  PADDLE_ELEMENT_TYPE_INT32 = 0;
+  PADDLE_ELEMENT_TYPE_UINT32 = 1;
+  PADDLE_ELEMENT_TYPE_INT64 = 2;
+  PADDLE_ELEMENT_TYPE_UINT64 = 3;
+  PADDLE_ELEMENT_TYPE_FLOAT32 = 4;
+  PADDLE_ELEMENT_TYPE_FLOAT64 = 5;
+}
+  optional DataType data_type = 1;
+  repeated bytes content = 2;
+}
+
+message SGDOptimizerState {
+  // learning rate policy
+  optional double learning_rate = 101;
+  optional double lr_decay_a = 102;
+  optional double lr_decay_b = 103;
+  optional double num_sample_passed = 104;
+  // state
+  optional TensorProto parameter = 1;
+  optional TensorProto momentums = 2;
+}
+
+message AdadeltaOptimizerState {
+  // learning rate policy
+  optional double learning_rate = 101;
+  optional double lr_decay_a = 102;
+  optional double lr_decay_b = 103;
+  optional double num_sample_passed = 104;
+  // state
+  optional TensorProto parameter = 1;
+  optional TensorProto accum_gradient = 2;
+  optional TensorProto accum_delta = 3;
+  optional TensorProto update_delta = 4;
+}
+
+message AdagradOptimizerState {
+  // learning rate policy
+  optional double learning_rate = 101;
+  optional double lr_decay_a = 102;
+  optional double lr_decay_b = 103;
+  optional double num_sample_passed = 104;
+  // state
+  optional TensorProto parameter = 1;
+  optional TensorProto accum_gradient = 2;
+}
+
+message AdamOptimizerState {
+  // learning rate policy
+  optional double learning_rate = 101;
+  optional double lr_decay_a = 102;
+  optional double lr_decay_b = 103;
+  optional double num_sample_passed = 104;
+  // state
+  optional TensorProto parameter = 1;
+  optional TensorProto momentums = 2;
+  optional TensorProto velocitys = 3;
+}
+
+message OptimizerConfig {
+  enum Optimizer {
+   SGD = 1;
+   Adadelta = 2;
+   Adagrad = 3;
+   Adam = 4;
+  }
+  optional Optimizer optimizer = 1;
+  optional SGDConfig sgd = 3;
+  optional AdadeltaConfig adadelta = 4;
+  optional AdagradConfig adagrad = 5;
+  optional AdamConfig adam = 6;
+
+  enum LrPolicy {
+   Const = 0;
+   Linear = 1;
+  }
+  optional LrPolicy lr_policy = 11;
+  optional ConstLrConfig const_lr = 12;
+  optional LinearLrConfig linear_lr = 13;
+
+  // common config of optimizer
+  // gradient clip when L2 exceeding value
+  optional double clip_norm = 101;
+  // gradient clip when L1 exceeding value
+  optional double clip_value = 102;
+}