diff --git a/paddle/fluid/framework/CMakeLists.txt b/paddle/fluid/framework/CMakeLists.txt
index 9d5c0cc7048f7db539c090d28c6184ac6d72d75a..bb5e2e1369a8478b500572106f9d11dff12e0189 100644
--- a/paddle/fluid/framework/CMakeLists.txt
+++ b/paddle/fluid/framework/CMakeLists.txt
@@ -272,7 +272,7 @@ cc_test(op_compatible_info_test SRCS op_compatible_info_test.cc DEPS op_compatib
 
 cc_library(save_load_util SRCS save_load_util DEPS tensor scope layer)
 cc_test(save_load_util_test SRCS save_load_util_test.cc DEPS save_load_util tensor scope layer)
-cc_library(generator SRCS generator.cc)
+cc_library(generator SRCS generator.cc DEPS enforce place)
 
 # Get the current working branch
 execute_process(
diff --git a/paddle/fluid/framework/generator.cc b/paddle/fluid/framework/generator.cc
index 9bde9e20b19a0b14ce4489b91d9ab3d5273f7f9a..d51e97d98e902a87cd2a44d2019e93e8dfc30fc8 100644
--- a/paddle/fluid/framework/generator.cc
+++ b/paddle/fluid/framework/generator.cc
@@ -21,10 +21,46 @@ limitations under the License. */
 #include <unordered_map>
 #include <unordered_set>
 #include <utility>
+#include <vector>
+
+#include "paddle/fluid/platform/enforce.h"
+#include "paddle/fluid/platform/gpu_info.h"
+#include "paddle/fluid/platform/place.h"
 
 namespace paddle {
 namespace framework {
 
+const std::shared_ptr<Generator>& GetDefaultCUDAGenerator(int64_t device_id) {
+#ifdef PADDLE_WITH_CUDA
+
+  static int64_t num_cuda_devices = -1;
+  static std::once_flag num_devices_init_flag;
+  static std::deque<std::once_flag> cuda_device_flags;
+  static std::vector<std::shared_ptr<Generator>> default_cuda_generators;
+
+  std::call_once(num_devices_init_flag, []() {
+    num_cuda_devices = paddle::platform::GetCUDADeviceCount();
+    cuda_device_flags.resize(num_cuda_devices);
+    default_cuda_generators.resize(num_cuda_devices);
+  });
+  if (device_id < 0) {
+    PADDLE_THROW(platform::errors::InvalidArgument(
+        "cuda device id shoule be greater than 0"));
+  }
+
+  std::call_once(cuda_device_flags[device_id], [device_id]() {
+    default_cuda_generators[device_id] =
+        std::make_shared<Generator>(GetRandomSeed(), device_id);
+    VLOG(4) << "initial seed: "
+            << default_cuda_generators[device_id]->GetCurrentSeed();
+  });
+  return default_cuda_generators[device_id];
+#else
+  PADDLE_THROW(platform::errors::PermissionDenied(
+      "getDefaultCUDAGenerator only support in CUDA place"));
+#endif
+}
+
 const std::shared_ptr<Generator>& DefaultCPUGenerator() {
   static auto default_cpu_generator =
       std::make_shared<Generator>(GetRandomSeed());
@@ -103,6 +139,7 @@ uint64_t Generator::Seed() {
 void Generator::SetCurrentSeed(uint64_t seed) {
   std::lock_guard<std::mutex> lock(this->mu_);
   this->state_.current_seed = seed;
+  this->state_.thread_offset = 0;
   std::seed_seq seq({seed});
   this->engine_->seed(seq);
 }
@@ -123,6 +160,22 @@ uint64_t Generator::Random64() {
   return (*engine)();
 }
 
+std::pair<uint64_t, uint64_t> Generator::IncrementOffset(
+    uint64_t increament_offset) {
+  uint64_t cur_offset = this->state_.thread_offset;
+#ifdef PADDLE_WITH_CUDA
+  std::lock_guard<std::mutex> lock(this->mu_);
+
+  this->state_.thread_offset += increament_offset;
+
+#else
+  PADDLE_THROW(platform::errors::PermissionDenied(
+      "Increment Offset only support in CUDA place"));
+#endif
+  return std::make_pair(static_cast<int>(this->state_.current_seed),
+                        cur_offset);
+}
+
 void Generator::SetIsInitPy(bool is_init_py) {
   this->is_init_py_ = is_init_py;
   VLOG(4) << "SetIsInitPy:" << this->is_init_py_;
diff --git a/paddle/fluid/framework/generator.h b/paddle/fluid/framework/generator.h
index 82b35f7ad550e770e8d10457ddf6cdf8e6fbd709..a279c2e4e1458293b6579b7b7cb2111e440e5d5e 100644
--- a/paddle/fluid/framework/generator.h
+++ b/paddle/fluid/framework/generator.h
@@ -38,6 +38,7 @@ static uint64_t GetRandomSeed() {
 struct GeneratorState {
   int64_t device = -1;
   uint64_t current_seed = 34342423252;
+  uint64_t thread_offset = 0;
   std::mt19937_64 cpu_engine;
 };
 
@@ -49,6 +50,7 @@ struct Generator {
     this->state_.cpu_engine = *engine;
     this->state_.device = -1;
     this->state_.current_seed = seed;
+    this->state_.thread_offset = 0;
     this->engine_ = engine;
     VLOG(4) << "initial seed: " << this->state_.current_seed
             << ", cpu engine: " << &this->state_.cpu_engine;
@@ -59,11 +61,25 @@ struct Generator {
     this->state_.cpu_engine = *engine;
     this->state_.device = -1;
     this->state_.current_seed = seed;
+    this->state_.thread_offset = 0;
     this->engine_ = engine;
     VLOG(4) << "initial seed: " << this->state_.current_seed
             << ", cpu engine: " << &this->state_.cpu_engine;
     this->is_init_py_ = true;  // TODO(zhiqiu): remove it in future
   }
+  Generator(uint64_t seed, uint64_t device_id) {
+    std::seed_seq seq({seed});
+    auto engine = std::make_shared<std::mt19937_64>(seq);
+    this->state_.cpu_engine = *engine;
+    this->state_.device = device_id;
+    this->state_.current_seed = seed;
+    this->state_.thread_offset = 0;
+    this->engine_ = engine;
+    VLOG(4) << "initial seed: " << this->state_.current_seed
+            << ", cpu engine: " << &this->state_.cpu_engine;
+    this->is_init_py_ = false;  // TODO(zhiqiu): remove it in future
+  }
+
   Generator(const Generator& other) = delete;
 
   // get random state
@@ -83,8 +99,11 @@ struct Generator {
 
   uint64_t Random64();
 
+  std::pair<uint64_t, uint64_t> IncrementOffset(uint64_t increament_offset);
+
   void SetIsInitPy(bool);
   bool GetIsInitPy() const;
+  uint64_t get_device_id() { return this->state_.device; }
 
  private:
   GeneratorState state_;
@@ -105,5 +124,8 @@ std::shared_ptr<std::mt19937_64> OpDefaultCPUEngine();
 
 std::shared_ptr<std::mt19937_64> GetCPURandomEngine(uint64_t);
 
+const std::shared_ptr<Generator>& GetDefaultCUDAGenerator(
+    int64_t device_id = -1);
+
 }  // namespace framework
 }  // namespace paddle
diff --git a/paddle/fluid/operators/bernoulli_op.cu b/paddle/fluid/operators/bernoulli_op.cu
index f665d2dd0e991847de2ad35bf6b18741fb3a6e26..6565f5a9a2176972e9e5085c6646097e8349f259 100644
--- a/paddle/fluid/operators/bernoulli_op.cu
+++ b/paddle/fluid/operators/bernoulli_op.cu
@@ -16,7 +16,6 @@ limitations under the License. */
 #include <thrust/random.h>
 #include <thrust/transform.h>
 
-#include "paddle/fluid/framework/generator.h"
 #include "paddle/fluid/framework/op_registry.h"
 #include "paddle/fluid/framework/operator.h"
 #include "paddle/fluid/operators/bernoulli_op.h"
diff --git a/paddle/fluid/operators/dropout_op.cu b/paddle/fluid/operators/dropout_op.cu
index 4d5e4c4f600314d307125f9b2031026b6aa94f10..49ad67bbca353acc4a79c9e8912d7ae5a70c0021 100644
--- a/paddle/fluid/operators/dropout_op.cu
+++ b/paddle/fluid/operators/dropout_op.cu
@@ -96,6 +96,42 @@ __global__ void RandomGeneratorWithSeed(const size_t n, const int* seed,
   }
 }
 
+template <typename T, typename MaskType>
+__global__ void RandomGeneratorWithGenerator(const size_t n, uint64_t seed,
+                                             const float dropout_prob,
+                                             const T* src, MaskType* mask_data,
+                                             T* dst, bool is_upscale_in_train,
+                                             uint64_t increment) {
+  curandStatePhilox4_32_10_t state;
+  int idx = blockDim.x * blockIdx.x + threadIdx.x;
+  int step_size = 0;
+
+  MaskType mask;
+  T dest;
+  for (; idx < n; idx += blockDim.x * gridDim.x) {
+    T s = src[idx];
+    if (step_size == 0) {
+      curand_init(seed, idx, increment, &state);
+      step_size = blockDim.x * gridDim.x;
+    } else {
+      curand_init(seed, idx, increment, &state);
+    }
+    if (curand_uniform(&state) < dropout_prob) {
+      mask = 0;
+      dest = 0;
+    } else {
+      mask = 1;
+      if (is_upscale_in_train) {
+        dest = s / static_cast<T>(1.0f - dropout_prob);
+      } else {
+        dest = s;
+      }
+    }
+    mask_data[idx] = mask;
+    dst[idx] = dest;
+  }
+}
+
 // It seems that Eigen::Tensor::setRandom in GPU will SEGFAULT.
 // Use std::random and thrust::random(thrust is a std library in CUDA) to
 // implement uniform random.
@@ -150,6 +186,17 @@ class GPUDropoutKernel : public framework::OpKernel<T> {
             context.Attr<bool>("fix_seed") ? context.Attr<int>("seed") : rnd();
       }
 
+      int device_id = BOOST_GET_CONST(platform::CUDAPlace, context.GetPlace())
+                          .GetDeviceId();
+      auto gen_cuda = framework::GetDefaultCUDAGenerator(device_id);
+      if (gen_cuda->GetIsInitPy() && (!context.Attr<bool>("fix_seed"))) {
+        auto seed_offset = gen_cuda->IncrementOffset(1);
+        RandomGeneratorWithGenerator<T, uint8_t><<<grid, threads, 0, stream>>>(
+            size, seed_offset.first, dropout_prob, x_data, mask_data, y_data,
+            upscale_in_train, seed_offset.second);
+        return;
+      }
+
       RandomGenerator<T, uint8_t><<<grid, threads, 0, stream>>>(
           size, seed_data, dropout_prob, x_data, mask_data, y_data,
           upscale_in_train);
diff --git a/paddle/fluid/operators/gaussian_random_op.cu b/paddle/fluid/operators/gaussian_random_op.cu
index c144481f8dedc9317f7657a22ce82e56022d5b89..eca42ac581ab982d514dd5eb10ea297a0283478e 100644
--- a/paddle/fluid/operators/gaussian_random_op.cu
+++ b/paddle/fluid/operators/gaussian_random_op.cu
@@ -13,6 +13,7 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 #include <thrust/random.h>
 #include <thrust/transform.h>
+#include "paddle/fluid/framework/generator.h"
 #include "paddle/fluid/framework/op_registry.h"
 #include "paddle/fluid/framework/operator.h"
 #include "paddle/fluid/operators/fill_constant_op.h"
@@ -24,15 +25,20 @@ template <typename T>
 struct GaussianGenerator {
   T mean_, std_;
   unsigned int seed_;
+  unsigned int offset_ = 0;
 
   __host__ __device__ GaussianGenerator(T mean, T std, int seed)
       : mean_(mean), std_(std), seed_(seed) {}
 
+  __host__ __device__ GaussianGenerator(T mean, T std, int seed, int offset)
+      : mean_(mean), std_(std), seed_(seed), offset_(offset) {}
+
   __host__ __device__ T operator()(const unsigned int n) const {
     thrust::minstd_rand rng;
     rng.seed(seed_);
     thrust::normal_distribution<T> dist(mean_, std_);
-    rng.discard(n);
+    unsigned int new_n = n + offset_;
+    rng.discard(new_n);
     return dist(rng);
   }
 };
@@ -43,9 +49,11 @@ class GPUGaussianRandomKernel : public framework::OpKernel<T> {
   void Compute(const framework::ExecutionContext& context) const override {
     auto* tensor = context.Output<framework::Tensor>("Out");
     unsigned int seed = static_cast<unsigned int>(context.Attr<int>("seed"));
+    bool seed_flag = false;
     if (seed == 0) {
       std::random_device rd;
       seed = rd();
+      seed_flag = true;
     }
     T mean = static_cast<T>(context.Attr<float>("mean"));
     T std = static_cast<T>(context.Attr<float>("std"));
@@ -56,9 +64,27 @@ class GPUGaussianRandomKernel : public framework::OpKernel<T> {
     T* data = tensor->mutable_data<T>(context.GetPlace());
 
     int64_t size = tensor->numel();
-    thrust::transform(index_sequence_begin, index_sequence_begin + size,
-                      thrust::device_ptr<T>(data),
-                      GaussianGenerator<T>(mean, std, seed));
+
+    int device_id =
+        BOOST_GET_CONST(platform::CUDAPlace, context.GetPlace()).GetDeviceId();
+    auto gen_cuda = framework::GetDefaultCUDAGenerator(device_id);
+
+    if (gen_cuda->GetIsInitPy() && seed_flag) {
+      auto seed_offset = gen_cuda->IncrementOffset(1);
+      int offset_step = 100;
+      // NOTE(xuefeng): Currently, we let offset step fixed to avoid
+      // unexpected results which may cause ut fail.
+      // we will fix this in future.
+      int gen_offset = offset_step * seed_offset.second;
+      thrust::transform(
+          index_sequence_begin, index_sequence_begin + size,
+          thrust::device_ptr<T>(data),
+          GaussianGenerator<T>(mean, std, seed_offset.first, gen_offset));
+    } else {
+      thrust::transform(index_sequence_begin, index_sequence_begin + size,
+                        thrust::device_ptr<T>(data),
+                        GaussianGenerator<T>(mean, std, seed));
+    }
   }
 };
 
@@ -69,17 +95,37 @@ class GPUGaussianRandomBatchSizeLikeKernel : public framework::OpKernel<T> {
     auto* tensor = context.Output<framework::Tensor>("Out");
     T* data = tensor->mutable_data<T>(context.GetPlace());
     unsigned int seed = static_cast<unsigned int>(context.Attr<int>("seed"));
+    bool seed_flag = false;
     if (seed == 0) {
       std::random_device rd;
       seed = rd();
+      seed_flag = true;
     }
     T mean = static_cast<T>(context.Attr<float>("mean"));
     T std = static_cast<T>(context.Attr<float>("std"));
     thrust::counting_iterator<unsigned int> index_sequence_begin(0);
     int64_t size = tensor->numel();
-    thrust::transform(index_sequence_begin, index_sequence_begin + size,
-                      thrust::device_ptr<T>(data),
-                      GaussianGenerator<T>(mean, std, seed));
+
+    int device_id =
+        BOOST_GET_CONST(platform::CUDAPlace, context.GetPlace()).GetDeviceId();
+    auto gen_cuda = framework::GetDefaultCUDAGenerator(device_id);
+
+    if (gen_cuda->GetIsInitPy() && seed_flag) {
+      auto seed_offset = gen_cuda->IncrementOffset(1);
+      int offset_step = 100;
+      // NOTE(xuefeng): Currently, we let offset step fixed to avoid
+      // unexpected results which may cause ut fail.
+      // we will fix this in future.
+      int gen_offset = offset_step * seed_offset.second;
+      thrust::transform(index_sequence_begin, index_sequence_begin + size,
+                        thrust::device_ptr<T>(data),
+                        GaussianGenerator<T>(mean, std, seed_offset.first,
+                                             seed_offset.second));
+    } else {
+      thrust::transform(index_sequence_begin, index_sequence_begin + size,
+                        thrust::device_ptr<T>(data),
+                        GaussianGenerator<T>(mean, std, seed));
+    }
   }
 };
 }  // namespace operators
diff --git a/paddle/fluid/operators/randint_op.cu b/paddle/fluid/operators/randint_op.cu
index a07a92621e6b3726be518df6abcec58257a91489..40e390b0b87246bbaa8474262df8ba5576297385 100644
--- a/paddle/fluid/operators/randint_op.cu
+++ b/paddle/fluid/operators/randint_op.cu
@@ -13,6 +13,7 @@
 // limitations under the License.
 #include <thrust/random.h>
 #include <thrust/transform.h>
+#include "paddle/fluid/framework/generator.h"
 #include "paddle/fluid/framework/op_registry.h"
 #include "paddle/fluid/operators/uniform_random_op.h"
 
@@ -49,15 +50,23 @@ class GPURandintKernel : public framework::OpKernel<T> {
 
     int64_t size = out->numel();
     unsigned int seed = static_cast<unsigned int>(context.Attr<int>("seed"));
+
+    /*
     std::minstd_rand engine;
     if (seed == 0) {
       std::random_device rd;
       seed = rd();
     }
     engine.seed(seed);
+    */
+
     std::uniform_int_distribution<> dist(context.Attr<int>("low"),
                                          context.Attr<int>("high") - 1);
-    for (int64_t i = 0; i < size; ++i) data[i] = dist(engine);
+    auto engine = framework::GetCPURandomEngine(seed);
+
+    for (int64_t i = 0; i < size; ++i) {
+      data[i] = dist(*engine);
+    }
 
     if (platform::is_gpu_place(context.GetPlace())) {
       // Copy tensor to out
diff --git a/paddle/fluid/operators/truncated_gaussian_random_op.cu b/paddle/fluid/operators/truncated_gaussian_random_op.cu
index 5a3510babe4d57b9e80f0e7898df98033834ca15..ef1e40b46d0be14a2a98fbfd0167a4eaa816d577 100644
--- a/paddle/fluid/operators/truncated_gaussian_random_op.cu
+++ b/paddle/fluid/operators/truncated_gaussian_random_op.cu
@@ -15,6 +15,7 @@ limitations under the License. */
 #include <thrust/random.h>
 #include <thrust/transform.h>
 #include <limits>
+#include "paddle/fluid/framework/generator.h"
 #include "paddle/fluid/framework/op_registry.h"
 #include "paddle/fluid/framework/operator.h"
 
@@ -46,6 +47,37 @@ struct TruncatedNormal {
   }
 };
 
+template <typename T>
+struct TruncatedNormalOffset {
+  T mean, std;
+  T a_normal_cdf;
+  T b_normal_cdf;
+  unsigned int seed;
+  T numeric_min;
+  int offset_;
+
+  __host__ __device__ TruncatedNormalOffset(T mean, T std, T numeric_min,
+                                            int seed, int offset)
+      : mean(mean),
+        std(std),
+        seed(seed),
+        numeric_min(numeric_min),
+        offset_(offset) {
+    a_normal_cdf = (1.0 + erff(-2.0 / sqrtf(2.0))) / 2.0;
+    b_normal_cdf = (1.0 + erff(2.0 / sqrtf(2.0))) / 2.0;
+  }
+
+  __host__ __device__ T operator()(const unsigned int n) const {
+    thrust::minstd_rand rng;
+    rng.seed(seed);
+    thrust::uniform_real_distribution<T> dist(numeric_min, 1);
+    rng.discard(n);
+    T value = dist(rng);
+    auto p = a_normal_cdf + (b_normal_cdf - a_normal_cdf) * value;
+    return std::sqrt(2.0) * erfinvf(2 * p - 1) * std + mean;
+  }
+};
+
 template <typename T>
 class GPUTruncatedGaussianRandomKernel : public framework::OpKernel<T> {
  public:
@@ -54,14 +86,35 @@ class GPUTruncatedGaussianRandomKernel : public framework::OpKernel<T> {
     T* data = tensor->mutable_data<T>(context.GetPlace());
 
     unsigned int seed = static_cast<unsigned int>(context.Attr<int>("seed"));
+    bool seed_flag = false;
     if (seed == 0) {
       std::random_device rd;
       seed = rd();
+      seed_flag = true;
     }
     T mean = static_cast<T>(context.Attr<float>("mean"));
     T std = static_cast<T>(context.Attr<float>("std"));
     thrust::counting_iterator<unsigned int> index_sequence_begin(0);
     int64_t size = tensor->numel();
+
+    int device_id =
+        BOOST_GET_CONST(platform::CUDAPlace, context.GetPlace()).GetDeviceId();
+    auto gen_cuda = framework::GetDefaultCUDAGenerator(device_id);
+
+    if (gen_cuda->GetIsInitPy() && seed_flag) {
+      auto seed_offset = gen_cuda->IncrementOffset(1);
+      int offset_step = 100;
+      // NOTE(xuefeng): Currently, we let offset step fixed to avoid
+      // unexpected results which may cause ut fail.
+      // we will fix this in future.
+      int gen_offset = offset_step * seed_offset.second;
+      thrust::transform(
+          index_sequence_begin, index_sequence_begin + size,
+          thrust::device_ptr<T>(data),
+          TruncatedNormalOffset<T>(mean, std, std::numeric_limits<T>::min(),
+                                   seed_offset.first, seed_offset.second));
+    }
+
     thrust::transform(
         index_sequence_begin, index_sequence_begin + size,
         thrust::device_ptr<T>(data),
diff --git a/paddle/fluid/operators/uniform_random_op.cu b/paddle/fluid/operators/uniform_random_op.cu
index 4df1e0ffeb97564803f452114d52ab03d0464f8a..43a25a098b0c1d4fc9f6724d22bf8a98ee3fd745 100644
--- a/paddle/fluid/operators/uniform_random_op.cu
+++ b/paddle/fluid/operators/uniform_random_op.cu
@@ -51,6 +51,39 @@ struct UniformGenerator {
   }
 };
 
+template <typename T>
+struct UniformGeneratorOffset {
+  T min_, max_;
+  unsigned int seed_;
+  T diag_val_;
+  unsigned int diag_num_;
+  unsigned int diag_step_;
+  int offset_;
+  __host__ __device__ UniformGeneratorOffset(T min, T max, int seed,
+                                             int diag_num, int diag_step,
+                                             T diag_val, int offset)
+      : min_(min),
+        max_(max),
+        seed_(seed),
+        diag_num_(diag_num),
+        diag_step_(diag_step),
+        diag_val_(diag_val),
+        offset_(offset) {}
+
+  __host__ __device__ T operator()(const unsigned int n) const {
+    thrust::minstd_rand rng;
+    rng.seed(seed_);
+    thrust::uniform_real_distribution<T> dist(min_, max_);
+    rng.discard(n + offset_);
+    T out = dist(rng);
+    unsigned int remainder = n % (diag_step_ + 1);
+    if (remainder == 0 && diag_num_ > n / (diag_step_ + 1)) {
+      out = diag_val_;
+    }
+    return out;
+  }
+};
+
 // It seems that Eigen::Tensor::random in GPU will SEGFAULT.
 // Use std::random and thrust::random(thrust is a std library in CUDA) to
 // implement uniform random.
@@ -89,10 +122,11 @@ class GPUUniformRandomKernel : public framework::OpKernel<T> {
     }
     T* data = tensor->mutable_data<T>(context.GetPlace());
     unsigned int seed = static_cast<unsigned int>(context.Attr<int>("seed"));
-
+    bool seed_flag = false;
     if (seed == 0) {
       std::random_device rd;
       seed = rd();
+      seed_flag = true;
     }
 
     T min = static_cast<T>(context.Attr<float>("min"));
@@ -104,10 +138,27 @@ class GPUUniformRandomKernel : public framework::OpKernel<T> {
     T diag_val = static_cast<T>(context.Attr<float>("diag_val"));
     thrust::counting_iterator<unsigned int> index_sequence_begin(0);
     int64_t size = tensor->numel();
-    thrust::transform(
-        index_sequence_begin, index_sequence_begin + size,
-        thrust::device_ptr<T>(data),
-        UniformGenerator<T>(min, max, seed, diag_num, diag_step, diag_val));
+    int device_id =
+        BOOST_GET_CONST(platform::CUDAPlace, context.GetPlace()).GetDeviceId();
+    auto gen_cuda = framework::GetDefaultCUDAGenerator(device_id);
+    if (gen_cuda->GetIsInitPy() && seed_flag) {
+      auto seed_offset = gen_cuda->IncrementOffset(1);
+      int offset_step = 100;
+      // NOTE(xuefeng): Currently, we let offset step fixed to avoid
+      // unexpected results which may cause ut fail.
+      // we will fix this in future.
+      int gen_offset = offset_step * seed_offset.second;
+      thrust::transform(
+          index_sequence_begin, index_sequence_begin + size,
+          thrust::device_ptr<T>(data),
+          UniformGeneratorOffset<T>(min, max, seed_offset.first, diag_num,
+                                    diag_step, diag_val, gen_offset));
+    } else {
+      thrust::transform(
+          index_sequence_begin, index_sequence_begin + size,
+          thrust::device_ptr<T>(data),
+          UniformGenerator<T>(min, max, seed, diag_num, diag_step, diag_val));
+    }
   }
 };
 
diff --git a/paddle/fluid/pybind/generator_py.cc b/paddle/fluid/pybind/generator_py.cc
index 90b7f501052530a306ba22ea6a244f0ef8fad563..67121e24089f7c6c5b8de985da89039eca85f094 100644
--- a/paddle/fluid/pybind/generator_py.cc
+++ b/paddle/fluid/pybind/generator_py.cc
@@ -59,6 +59,7 @@ void BindGenerator(py::module* m_ptr) {
       .def_property("_is_init_py", &framework::Generator::GetIsInitPy,
                     &framework::Generator::SetIsInitPy);
   m.def("default_cpu_generator", &framework::DefaultCPUGenerator);
-}  // end Generator
-}  // end namespace pybind
+  m.def("default_cuda_generator", &framework::GetDefaultCUDAGenerator);
+}
+}  // namespace pybind
 }  // namespace paddle
diff --git a/python/paddle/__init__.py b/python/paddle/__init__.py
index 46097316257307bd2211c9807594979682c8dfb6..d5793eb424ab794e3e8af8ef2312aac927c272e5 100755
--- a/python/paddle/__init__.py
+++ b/python/paddle/__init__.py
@@ -217,6 +217,8 @@ from .tensor.search import index_select  #DEFINE_ALIAS
 from .tensor.search import nonzero  #DEFINE_ALIAS
 from .tensor.search import sort  #DEFINE_ALIAS
 from .framework.random import manual_seed  #DEFINE_ALIAS
+from .framework.random import get_cuda_rng_state  #DEFINE_ALIAS
+from .framework.random import set_cuda_rng_state  #DEFINE_ALIAS
 from .framework import Variable  #DEFINE_ALIAS
 from .framework import ParamAttr  #DEFINE_ALIAS
 from .framework import create_global_var  #DEFINE_ALIAS
diff --git a/python/paddle/fluid/tests/unittests/test_cuda_random_seed.py b/python/paddle/fluid/tests/unittests/test_cuda_random_seed.py
new file mode 100644
index 0000000000000000000000000000000000000000..0c2520038a82a0b9427b2cbe1d4010a1bc8e040c
--- /dev/null
+++ b/python/paddle/fluid/tests/unittests/test_cuda_random_seed.py
@@ -0,0 +1,163 @@
+#   Copyright (c) 2018 PaddlePaddle Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+"""Test cloud role maker."""
+
+from __future__ import print_function
+import os
+import unittest
+import paddle.fluid.generator as generator
+
+import time  # temp for debug
+import paddle.fluid as fluid
+import numpy as np
+import paddle
+import paddle.fluid.core as core
+
+
+class TestGeneratorSeed(unittest.TestCase):
+    """
+    Test cases for cpu generator seed.
+    """
+
+    def test_gen_dropout_dygraph(self):
+        gen = paddle.manual_seed(12343)
+
+        fluid.enable_dygraph()
+
+        gen.manual_seed(111111111)
+        st = paddle.get_cuda_rng_state()
+
+        x = fluid.layers.uniform_random(
+            [2, 10], dtype="float32", min=0.0, max=1.0)
+        x_again = fluid.layers.uniform_random(
+            [2, 10], dtype="float32", min=0.0, max=1.0)
+        x_third = fluid.layers.uniform_random(
+            [2, 10], dtype="float32", min=0.0, max=1.0)
+        print("x: {}".format(x.numpy()))
+        print("x_again: {}".format(x_again.numpy()))
+        x = x + x_again + x_third
+        y = fluid.layers.dropout(x, 0.5)
+
+        paddle.set_cuda_rng_state(st)
+
+        x1 = fluid.layers.uniform_random(
+            [2, 10], dtype="float32", min=0.0, max=1.0)
+        x1_again = fluid.layers.uniform_random(
+            [2, 10], dtype="float32", min=0.0, max=1.0)
+        x1_third = fluid.layers.uniform_random(
+            [2, 10], dtype="float32", min=0.0, max=1.0)
+        x1 = x1 + x1_again + x1_third
+        y1 = fluid.layers.dropout(x1, 0.5)
+        y_np = y.numpy()
+        y1_np = y1.numpy()
+
+        if core.is_compiled_with_cuda():
+            print(">>>>>>> dropout dygraph >>>>>>>")
+            self.assertTrue(np.allclose(y_np, y1_np))
+
+    def test_generator_gaussian_random_dygraph(self):
+        """Test Generator seed."""
+        fluid.enable_dygraph()
+
+        paddle.manual_seed(12312321111)
+        x = fluid.layers.gaussian_random([120], dtype="float32")
+        st1 = paddle.get_cuda_rng_state()
+        x1 = fluid.layers.gaussian_random([120], dtype="float32")
+        paddle.set_cuda_rng_state(st1)
+        x2 = fluid.layers.gaussian_random([120], dtype="float32")
+        paddle.manual_seed(12312321111)
+        x3 = fluid.layers.gaussian_random([120], dtype="float32")
+        x_np = x.numpy()
+        x1_np = x1.numpy()
+        x2_np = x2.numpy()
+        x3_np = x3.numpy()
+
+        if core.is_compiled_with_cuda():
+            print(">>>>>>> gaussian random dygraph >>>>>>>")
+            self.assertTrue(np.allclose(x1_np, x2_np))
+            self.assertTrue(np.allclose(x_np, x3_np))
+
+    def test_generator_randint_dygraph(self):
+        """Test Generator seed."""
+
+        fluid.enable_dygraph()
+
+        gen = paddle.manual_seed(12312321111)
+        x = paddle.randint(low=10, shape=[10], dtype="int32")
+        st1 = gen.get_state()
+        x1 = paddle.randint(low=10, shape=[10], dtype="int32")
+        gen.set_state(st1)
+        x2 = paddle.randint(low=10, shape=[10], dtype="int32")
+        paddle.manual_seed(12312321111)
+        x3 = paddle.randint(low=10, shape=[10], dtype="int32")
+        x_np = x.numpy()
+        x1_np = x1.numpy()
+        x2_np = x2.numpy()
+        x3_np = x3.numpy()
+
+        if core.is_compiled_with_cuda():
+            print(">>>>>>> randint dygraph >>>>>>>")
+            self.assertTrue(np.allclose(x1_np, x2_np))
+            self.assertTrue(np.allclose(x_np, x3_np))
+
+    def test_gen_TruncatedNormal_initializer(self):
+        fluid.disable_dygraph()
+
+        gen = paddle.manual_seed(123123143)
+        cur_state = paddle.get_cuda_rng_state()
+
+        startup_program = fluid.Program()
+        train_program = fluid.Program()
+        with fluid.program_guard(train_program, startup_program):
+            # example 1:
+            # attr shape is a list which doesn't contain tensor Variable.
+            x = fluid.layers.uniform_random(shape=[2, 10])
+            result_1 = fluid.layers.fc(
+                input=x,
+                size=10,
+                param_attr=fluid.initializer.TruncatedNormal(
+                    loc=0.0, scale=2.0))
+            result_2 = fluid.layers.fc(
+                input=x,
+                size=10,
+                param_attr=fluid.initializer.TruncatedNormal(
+                    loc=0.0, scale=2.0))
+
+            exe = fluid.Executor(fluid.CPUPlace())
+            exe.run(startup_program)
+            out1 = exe.run(train_program,
+                           feed={},
+                           fetch_list=[result_1, result_2])
+
+        paddle.manual_seed(123123143)
+        with fluid.program_guard(train_program, startup_program):
+            exe.run(startup_program)
+            out2 = exe.run(train_program,
+                           feed={},
+                           fetch_list=[result_1, result_2])
+
+        out1_res1 = np.array(out1[0])
+        out1_res2 = np.array(out1[1])
+        out2_res1 = np.array(out2[0])
+        out2_res2 = np.array(out2[1])
+
+        if core.is_compiled_with_cuda():
+            print(">>>>>>> truncated normal static >>>>>>>")
+            self.assertTrue(np.allclose(out1_res1, out2_res1))
+            self.assertTrue(np.allclose(out1_res2, out2_res2))
+            self.assertTrue(not np.allclose(out1_res2, out1_res1))
+
+
+if __name__ == "__main__":
+    unittest.main()
diff --git a/python/paddle/framework/random.py b/python/paddle/framework/random.py
index 2555d24464112ed8446d863dc8e65cfa37680b36..ba2cf603d4a69f118320e40f1f953cb4c5fcfb39 100644
--- a/python/paddle/framework/random.py
+++ b/python/paddle/framework/random.py
@@ -16,7 +16,7 @@
 import paddle.fluid as fluid
 from paddle.fluid import core
 
-__all__ = ['manual_seed']
+__all__ = ['manual_seed', 'get_cuda_rng_state', 'set_cuda_rng_state']
 
 
 def manual_seed(seed):
@@ -42,10 +42,69 @@ def manual_seed(seed):
 
     seed = int(seed)
 
+    if core.is_compiled_with_cuda():
+        for i in range(core.get_cuda_device_count()):
+            core.default_cuda_generator(i)._is_init_py = True
+            core.default_cuda_generator(i).manual_seed(seed)
+
     core.default_cpu_generator()._is_init_py = True
     return core.default_cpu_generator().manual_seed(seed)
 
 
+def get_cuda_rng_state():
+    """
+
+    Get random state of cuda generators.
+
+    Args:
+        None
+
+    Returns:
+        GeneratorState:  object.
+
+    Examples:
+        .. code-block:: python
+
+            import paddle
+            sts = paddle.get_cuda_rng_state()
+
+    """
+    state_list = []
+    if core.is_compiled_with_cuda():
+        for i in range(core.get_cuda_device_count()):
+            state_list.append(core.default_cuda_generator(i).get_state())
+
+    return state_list
+
+
+def set_cuda_rng_state(state_list):
+    """
+
+    Sets generator state for all cuda generators
+
+    Args:
+        state_list(list): The cuda states to set back to cuda generators. state_list is obtained from get_cuda_rng_state().
+
+    Returns:
+        None
+
+    Examples:
+        .. code-block:: python
+
+            import paddle
+            sts = paddle.get_cuda_rng_state()
+            paddle.set_cuda_rng_state(sts)
+
+    """
+    if core.is_compiled_with_cuda():
+        if not len(state_list) == core.get_cuda_device_count():
+            raise ValueError(
+                "Length of cuda state list shoule be equal to the cuda device count"
+            )
+        for i in range(core.get_cuda_device_count()):
+            core.default_cuda_generator(i).set_state(state_list[i])
+
+
 def _manual_program_seed(seed):
     """
     Sets global seed for generating random numbers.