diff --git a/paddle/fluid/framework/ir/graph.cc b/paddle/fluid/framework/ir/graph.cc
index 1f55f0aa3cbad6e0ec7805b501dc504c017635d8..3914e08d99547b22d82ec187fe405dc7b551373c 100644
--- a/paddle/fluid/framework/ir/graph.cc
+++ b/paddle/fluid/framework/ir/graph.cc
@@ -56,10 +56,12 @@ Graph::Graph(const ProgramDesc &program, const int64_t start_op_index,
     // sub_graph.
     std::unique_ptr<Graph> first_sub_graph = std::make_unique<Graph>(
         program_.Block(0), this, start_op_index, end_op_index);
+    first_sub_graph->block_id_ = 0;
     sub_graphs_.push_back(std::move(first_sub_graph));
     for (size_t idx = 1; idx < program_.Size(); ++idx) {
       std::unique_ptr<Graph> sub_graph =
           std::make_unique<Graph>(program_.Block(idx), this);
+      sub_graph->block_id_ = idx;
       sub_graphs_.push_back(std::move(sub_graph));
     }
   } else {
@@ -90,14 +92,32 @@ std::map<std::string, std::vector<ir::Node *>> Graph::InitFromProgram(
 std::map<std::string, std::vector<ir::Node *>> Graph::InitFromBlock(
     const BlockDesc &block, const int64_t start_op_index,
     const int64_t end_op_index) {
-  std::unordered_map<std::string, VarDesc *> all_vars;
+  std::unordered_map<std::string, std::pair<VarDesc *, int>>
+      name_to_desc_block_id;
+
+  const BlockDesc *block_var_visible = &block;
+  while (block_var_visible != nullptr) {
+    for (auto *var : block_var_visible->AllVars()) {
+      name_to_desc_block_id.emplace(
+          var->Name(), std::make_pair(var, block_var_visible->ID()));
+    }
+    const BlockDesc *forward_block = block_var_visible->ForwardBlock();
+    if (forward_block != nullptr) {
+      for (auto *var : forward_block->AllVars()) {
+        name_to_desc_block_id.emplace(var->Name(),
+                                      std::make_pair(var, forward_block->ID()));
+      }
+    }
+    block_var_visible = block_var_visible->ParentBlock();
+  }
   // var nodes for each var name, will have multiple versions in SSA
   std::map<std::string, std::vector<ir::Node *>> var_nodes;
+  std::unordered_map<std::string, VarDesc *> not_visited_vars;
   for (auto *var : block.AllVars()) {
-    all_vars.emplace(var->Name(), var);
+    not_visited_vars.emplace(var->Name(), var);
   }
 
-  auto not_visited_vars = all_vars;
+  int desc_order = 0;
   auto all_ops = block.AllOps();
   PADDLE_ENFORCE_LE(
       end_op_index, all_ops.size(),
@@ -109,6 +129,8 @@ std::map<std::string, std::vector<ir::Node *>> Graph::InitFromBlock(
     auto *op = all_ops[i];
     VLOG(3) << "create OpNode by " << op->Type();
     ir::Node *node = CreateOpNode(op);
+    node->SetDescOrder(desc_order);
+    ++desc_order;
     // For input args, reuse the same var name if it was created before.
     // Otherwise, create a new one.
     for (auto &each_var_name : op->InputArgumentNames()) {
@@ -116,8 +138,9 @@ std::map<std::string, std::vector<ir::Node *>> Graph::InitFromBlock(
       ir::Node *var = nullptr;
       if (var_nodes.find(each_var_name) != var_nodes.end()) {
         var = var_nodes.at(each_var_name).back();
-      } else if (all_vars.count(each_var_name) != 0) {
-        var = CreateVarNode(all_vars.at(each_var_name));
+      } else if (name_to_desc_block_id.count(each_var_name) != 0) {
+        auto desc_and_block_id = name_to_desc_block_id.at(each_var_name);
+        var = CreateVarNode(desc_and_block_id.first, desc_and_block_id.second);
         var_nodes[each_var_name].push_back(var);
       } else {
         // Operation input var can be optional (dispensable). Which means
@@ -143,8 +166,9 @@ std::map<std::string, std::vector<ir::Node *>> Graph::InitFromBlock(
       }
 
       ir::Node *var = nullptr;
-      if (all_vars.count(each_var_name) != 0) {
-        var = CreateVarNode(all_vars.at(each_var_name));
+      if (name_to_desc_block_id.count(each_var_name) != 0) {
+        auto desc_and_block_id = name_to_desc_block_id.at(each_var_name);
+        var = CreateVarNode(desc_and_block_id.first, desc_and_block_id.second);
       } else {
         // Operation output vars can be @EMPTY@. For example, while_grad
         // can have multi @EMPTY@ outputs with no VarDesc.
@@ -270,6 +294,7 @@ std::shared_ptr<Graph> Graph::Clone() {
     auto cloned_graph = std::make_shared<Graph>(this->program_);
     cloned_graph->ReleaseNodes();
     cloned_graph->num_node_created_ = 0;
+    cloned_graph->block_id_ = this->block_id_;
     std::unordered_map<ir::Node *, ir::Node *> origin_to_cloned;
     for (auto *n : this->node_set_) {
       PADDLE_ENFORCE_NOT_NULL(n, platform::errors::InvalidArgument(
@@ -313,6 +338,7 @@ std::unique_ptr<Graph> Graph::CloneSubGraph(const size_t idx) {
       std::make_unique<Graph>(this->program_.Block(idx), this);
   cloned_sub_graph->ReleaseNodes();
   cloned_sub_graph->num_node_created_ = 0;
+  cloned_sub_graph->block_id_ = idx;
   std::unordered_map<ir::Node *, ir::Node *> origin_to_cloned;
   for (auto *n : this->sub_graphs_.at(idx)->Nodes()) {
     PADDLE_ENFORCE_NOT_NULL(n, platform::errors::InvalidArgument(
diff --git a/paddle/fluid/framework/ir/graph.h b/paddle/fluid/framework/ir/graph.h
index da588426676cc37db0bc1207de779d5750f0becb..50c5671cb91a4955036f8639aaaee5f857121d0c 100644
--- a/paddle/fluid/framework/ir/graph.h
+++ b/paddle/fluid/framework/ir/graph.h
@@ -104,7 +104,14 @@ class Graph {
     attr_dels_.clear();
   }
 
-  bool IsConstructedByPartialProgram() const { return is_partial_; }
+  bool IsConstructedByPartialProgram() const {
+    if (FLAGS_convert_all_blocks) {
+      if (IsMainGraph()) {
+        return GetSubGraph(0)->IsConstructedByPartialProgram();
+      }
+    }
+    return is_partial_;
+  }
 
   bool Has(const std::string &attr_name) const {
     if (FLAGS_convert_all_blocks) {
@@ -210,7 +217,7 @@ class Graph {
   }
 
   // Create a normal variable with non-null VarDesc.
-  ir::Node *CreateVarNode(VarDesc *var_desc) {
+  ir::Node *CreateVarNode(VarDesc *var_desc, int block_id = -1) {
     if (FLAGS_convert_all_blocks) {
       if (IsMainGraph()) {
         return GetSubGraph(0)->CreateVarNode(var_desc);
@@ -219,7 +226,8 @@ class Graph {
     PADDLE_ENFORCE_NOT_NULL(
         var_desc, platform::errors::InvalidArgument(
                       "The VarDesc used to create variable node is null."));
-    auto *x = AddNode(new ir::Node(var_desc));
+    auto *x =
+        AddNode(new ir::Node(var_desc, block_id == -1 ? block_id_ : block_id));
     x->SetId(num_node_created_++);
     return x;
   }
@@ -252,7 +260,7 @@ class Graph {
     const std::string name = string::Sprintf(
         "%s@%llu", static_cast<const char *>(ir::Node::kControlDepVarName),
         num_node_created_);
-    auto *x = AddNode(new ir::Node(name, ir::Node::Type::kVariable));
+    auto *x = AddNode(new ir::Node(name, ir::Node::Type::kVariable, block_id_));
     x->SetId(num_node_created_++);
     return x;
   }
@@ -265,7 +273,7 @@ class Graph {
         return GetSubGraph(0)->CreateEmptyNode(name, type);
       }
     }
-    auto *x = AddNode(new ir::Node(name, type));
+    auto *x = AddNode(new ir::Node(name, type, block_id_));
     x->SetId(num_node_created_++);
     return x;
   }
@@ -365,6 +373,15 @@ class Graph {
     return sub_graphs_.at(idx).get();
   }
 
+  int GetBlockId() const {
+    if (FLAGS_convert_all_blocks) {
+      if (IsMainGraph()) {
+        return GetSubGraph(0)->block_id_;
+      }
+    }
+    return block_id_;
+  }
+
   size_t SubGraphsSize() const {
     PADDLE_ENFORCE_EQ(
         this->IsMainGraph(), true,
@@ -394,6 +411,9 @@ class Graph {
     PADDLE_ENFORCE_EQ(
         this->IsMainGraph(), true,
         platform::errors::InvalidArgument("This graph is not main_graph"));
+    PADDLE_ENFORCE_EQ(sub_graphs_.size(), sub_graph->block_id_,
+                      platform::errors::InvalidArgument(
+                          "sub_graph idx is not equal to block_id_"));
     sub_graphs_.push_back(std::move(sub_graph));
   }
 
@@ -416,6 +436,8 @@ class Graph {
   // parts: forward graph and backward graph, which can be executed
   // independently.
   bool is_partial_{false};
+  // The block this SubGraph belongs to.
+  int block_id_{0};
 };
 
 bool IsControlDepVar(const ir::Node &var);
diff --git a/paddle/fluid/framework/ir/graph_helper.cc b/paddle/fluid/framework/ir/graph_helper.cc
index cfdda435e653df1477a4ea1fb100133d81202df0..50174cfbbba90860ed492edf03f7755034cb4174 100644
--- a/paddle/fluid/framework/ir/graph_helper.cc
+++ b/paddle/fluid/framework/ir/graph_helper.cc
@@ -13,6 +13,7 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 
 #include "paddle/fluid/framework/ir/graph_helper.h"
+#include <queue>
 #include <stack>
 
 DEFINE_string(print_sub_graph_dir, "",
@@ -395,6 +396,85 @@ std::vector<Node *> TopologyVarientSort(const Graph &graph,
   }
 }
 
+class DescOrderComparator {
+ public:
+  bool operator()(const Node *n1, const Node *n2) {
+    return (n1->DescOrder() > n2->DescOrder()) ||
+           ((n1->DescOrder() == n2->DescOrder()) &&
+            (n1->ToString() > n2->ToString()));
+  }
+};
+
+std::vector<ir::Node *> TopologySortGraphByDescOrder(const Graph &graph) {
+  std::vector<ir::Node *> sorted_ops;
+  std::priority_queue<Node *, std::vector<Node *>, DescOrderComparator> q;
+  std::unordered_map<Node *, std::unordered_set<Node *>> in_ops;
+  std::unordered_map<Node *, std::unordered_set<Node *>> out_ops;
+
+  // ensure all op node in 'in_ops' and 'out_ops'
+  for (const auto &n : graph.Nodes()) {
+    if (!n->IsOp()) continue;
+
+    in_ops.emplace(n, std::unordered_set<Node *>());
+    out_ops.emplace(n, std::unordered_set<Node *>());
+  }
+
+  // record all op's input op and output op
+  for (const auto &n : graph.Nodes()) {
+    if (!n->IsOp()) continue;
+
+    // traverse all input op
+    for (const auto &var : n->inputs) {
+      for (const auto &in : var->inputs) {
+        // use at instead of [] to prevent no unrecorded op node
+        in_ops.at(n).insert(in);
+        out_ops.at(in).insert(n);
+      }
+    }
+  }
+
+  // find topology entrance
+  for (const auto &n : graph.Nodes()) {
+    if (!n->IsOp()) continue;
+
+    if (in_ops.at(n).empty()) {
+      q.push(n);
+    }
+  }
+
+  // topological sorting
+  while (!q.empty()) {
+    // Do not get by reference!!! The element will pop later.
+    const auto cur_op = q.top();
+    q.pop();
+
+    sorted_ops.push_back(cur_op);
+    for (const auto &out : out_ops.at(cur_op)) {
+      PADDLE_ENFORCE_GT(in_ops.at(out).count(cur_op), 0,
+                        platform::errors::InvalidArgument(
+                            "We find %s in %s's output list, "
+                            "but cannot find %s in %s's input list. "
+                            "Please ensure graph completely.",
+                            out->Name().c_str(), cur_op->Name().c_str(),
+                            cur_op->Name().c_str(), out->Name().c_str()));
+      in_ops.at(out).erase(cur_op);
+
+      // push if in-degree is 0
+      if (in_ops.at(out).empty()) {
+        q.push(out);
+      }
+    }
+  }
+
+  PADDLE_ENFORCE_EQ(
+      sorted_ops.size(), in_ops.size(),
+      platform::errors::InvalidArgument("Topological sorting incompletely, "
+                                        "only sorted %zd op but total %zd.",
+                                        sorted_ops.size(), in_ops.size()));
+
+  return sorted_ops;
+}
+
 }  // namespace ir
 }  // namespace framework
 }  // namespace paddle
diff --git a/paddle/fluid/framework/ir/graph_helper.h b/paddle/fluid/framework/ir/graph_helper.h
index 0c43febca70b7d44be6c399263d11a5900f9b109..27a4fe25cd5f5f316bc5d67e43797d14f62341b0 100644
--- a/paddle/fluid/framework/ir/graph_helper.h
+++ b/paddle/fluid/framework/ir/graph_helper.h
@@ -87,6 +87,8 @@ std::vector<T *> FilterByNodeWrapper(const Graph &graph) {
   return ret;
 }
 
+std::vector<ir::Node *> TopologySortGraphByDescOrder(const Graph &graph);
+
 }  // namespace ir
 }  // namespace framework
 }  // namespace paddle
diff --git a/paddle/fluid/framework/ir/graph_to_program_pass.cc b/paddle/fluid/framework/ir/graph_to_program_pass.cc
index 944db2b772e7153fbe621bd91e6baed3d85ec308..b31ccd48aa98b8a08d5ec19efcb3cb5c80d82d5e 100644
--- a/paddle/fluid/framework/ir/graph_to_program_pass.cc
+++ b/paddle/fluid/framework/ir/graph_to_program_pass.cc
@@ -14,7 +14,13 @@ limitations under the License. */
 
 #include "paddle/fluid/framework/ir/graph_to_program_pass.h"
 
+#include <gflags/gflags.h>
+#include <algorithm>
+
 #include "paddle/fluid/framework/ir/graph_helper.h"
+#include "paddle/fluid/framework/op_proto_maker.h"
+
+DECLARE_bool(convert_all_blocks);
 
 namespace paddle {
 namespace framework {
@@ -27,13 +33,10 @@ namespace framework {
 namespace ir {
 
 void GraphToProgramPass::ApplyImpl(ir::Graph* graph) const {
-  // Remove the unneeded variables after memory optimization.
-  std::unordered_set<std::string> vars2remove;
-  if (graph->Has(kGraphToProgramVarsToRemove)) {
-    vars2remove = graph->Get<std::unordered_set<std::string>>(
-        kGraphToProgramVarsToRemove);
-    VLOG(2) << "graph to program remove " << vars2remove.size() << " nodes";
-  }
+  PADDLE_ENFORCE_EQ(graph->IsMainGraph(), true,
+                    platform::errors::InvalidArgument(
+                        "This graph is a sub_graph, "
+                        "and can't convert to program individually"));
 
   ProgramDesc& program = Get<ProgramDesc>("program");
 
@@ -42,12 +45,79 @@ void GraphToProgramPass::ApplyImpl(ir::Graph* graph) const {
 
   auto block = program_pb->mutable_blocks(kRootBlockIndex);
   block->set_idx(kRootBlockIndex);
+
+  if (FLAGS_convert_all_blocks) {
+    GraphToBlock(graph->GetSubGraph(kRootBlockIndex), block);
+
+    VLOG(3) << "Graph to program need convert " << graph->SubGraphsSize()
+            << " sub graph";
+    for (size_t idx = 0; idx < graph->SubGraphsSize(); ++idx) {
+      // avoid kRootBlockIndex not 0
+      if (idx == kRootBlockIndex) continue;
+
+      block = program_pb->add_blocks();
+      block->set_idx(idx);
+      GraphToBlock(graph->GetSubGraph(idx), block);
+    }
+  } else {
+    GraphToBlock(graph, block);
+  }
+
+  program.CopyFrom(*program_pb);
+}
+
+OpDesc* ReplaceScaleLossGradOp(ir::Node* node, OpDesc* desc) {
+  desc->SetType("fill_constant");
+  desc->SetAttr(
+      OpProtoAndCheckerMaker::OpRoleAttrName(),
+      (static_cast<int>(OpRole::kBackward) | static_cast<int>(OpRole::kLoss)));
+  desc->SetAttr("value", 1.0f);
+  std::vector<std::string> output_names;
+  for (auto out : node->outputs) {
+    output_names.emplace_back(out->Name());
+  }
+  desc->SetOutput("Out", output_names);
+  return desc;
+}
+
+std::vector<OpDesc>* GetGraphOpDesc(const std::vector<ir::Node*>& nodes,
+                                    std::vector<OpDesc>* ops) {
+  for (ir::Node* n : nodes) {
+    // if node is not Op, skip
+    if (!n->IsOp()) continue;
+
+    // create fill_constant op
+    if (n->Name() == "scale_loss_grad") {
+      ops->emplace_back();
+      auto& desc = ops->back();
+      ReplaceScaleLossGradOp(n, &desc);
+    } else if (n->Op()) {
+      ops->emplace_back(*n->Op());
+    } else {
+      // delete no OpDesc op
+    }
+  }
+  return ops;
+}
+
+void GraphToProgramPass::GraphToBlock(const Graph* graph,
+                                      proto::BlockDesc* block) const {
+  // Remove the unneeded variables after memory optimization.
+  std::unordered_set<std::string> vars2remove;
+  if (graph->Has(kGraphToProgramVarsToRemove)) {
+    vars2remove = graph->Get<std::unordered_set<std::string>>(
+        kGraphToProgramVarsToRemove);
+    VLOG(2) << "graph (id: " << block->idx() << ") to program remove "
+            << vars2remove.size() << " nodes";
+  }
+
   block->clear_vars();
   std::unordered_set<std::string> visited_vars;
   for (ir::Node* n : graph->Nodes()) {
     if (n->IsVar()) {
       if (n->Var() && visited_vars.count(n->Var()->Name()) == 0 &&
-          !vars2remove.count(n->Var()->Name())) {
+          !vars2remove.count(n->Var()->Name()) &&
+          n->GetVarNodeBlockId() == graph->GetBlockId()) {
         visited_vars.insert(n->Var()->Name());
         block->add_vars()->MergeFrom(*n->Var()->Proto());
       }
@@ -62,16 +132,18 @@ void GraphToProgramPass::ApplyImpl(ir::Graph* graph) const {
     nodes = TopologyVarientSort(
         *graph, static_cast<framework::ir::SortKind>(sort_kind));
   } else {
-    nodes = TopologySortOperations(*graph);
+    if (FLAGS_convert_all_blocks) {
+      nodes = TopologySortGraphByDescOrder(*graph);
+    } else {
+      nodes = TopologySortOperations(*graph);
+    }
   }
 
-  for (ir::Node* n : nodes) {
-    if (!n->Op()) continue;
-
-    block->add_ops()->MergeFrom(*n->Op()->Proto());
+  std::vector<OpDesc> ops;
+  GetGraphOpDesc(nodes, &ops);
+  for (auto& op : ops) {
+    block->add_ops()->MergeFrom(*op.Proto());
   }
-
-  program.CopyFrom(*program_pb);
 }
 
 }  // namespace ir
diff --git a/paddle/fluid/framework/ir/graph_to_program_pass.h b/paddle/fluid/framework/ir/graph_to_program_pass.h
index 6b17c0076f6fd7c8b7e64f96cda4ee9835236913..4997c67a92fdc8a09d170952ec82256fae6f148d 100644
--- a/paddle/fluid/framework/ir/graph_to_program_pass.h
+++ b/paddle/fluid/framework/ir/graph_to_program_pass.h
@@ -29,6 +29,9 @@ const char kGraphToProgramSortKind[] = "__graph_to_program_sort_kind__";
 class GraphToProgramPass : public Pass {
  protected:
   void ApplyImpl(ir::Graph* graph) const override;
+
+ private:
+  void GraphToBlock(const Graph* graph, proto::BlockDesc* block) const;
 };
 
 }  // namespace ir
diff --git a/paddle/fluid/framework/ir/graph_to_program_pass_test.cc b/paddle/fluid/framework/ir/graph_to_program_pass_test.cc
index 12119ff56dc94c103e01d1e7a5dd4894341966f9..4530faf53dcd3447bc5f482c681fc6279487368e 100644
--- a/paddle/fluid/framework/ir/graph_to_program_pass_test.cc
+++ b/paddle/fluid/framework/ir/graph_to_program_pass_test.cc
@@ -14,8 +14,14 @@ limitations under the License. */
 
 #include "paddle/fluid/framework/ir/graph_to_program_pass.h"
 
+#include <algorithm>
+
 #include "gtest/gtest.h"
+#include "paddle/fluid/framework/details/build_strategy.h"
+#include "paddle/fluid/framework/ir/graph.h"
+#include "paddle/fluid/framework/op_desc.h"
 #include "paddle/fluid/framework/program_desc.h"
+#include "paddle/fluid/framework/var_desc.h"
 
 namespace paddle {
 namespace framework {
@@ -103,6 +109,382 @@ TEST(GraphToProgramPass, Basic) {
   EXPECT_TRUE(vars.find("var2") != vars.end());
   EXPECT_TRUE(vars.find("var3") != vars.end());
 }
+
+void BuildProgramWithMultiBlock(ProgramDesc* program) {
+  auto* global_block = program->MutableBlock(0);
+  auto* mul_1_x = global_block->Var("Mul_1_X");
+  mul_1_x->SetType(proto::VarType::LOD_TENSOR);
+  mul_1_x->SetLoDLevel(0);
+  mul_1_x->SetDataType(proto::VarType::FP32);
+  mul_1_x->SetShape({1000, 784});
+
+  auto* mul_1_y = global_block->Var("Mul_1_Y");
+  mul_1_y->SetType(proto::VarType::LOD_TENSOR);
+  mul_1_y->SetLoDLevel(0);
+  mul_1_y->SetDataType(proto::VarType::FP32);
+  mul_1_y->SetShape({784, 100});
+
+  auto* mul_1_out = global_block->Var("Mul_1_Out");
+  mul_1_out->SetType(proto::VarType::LOD_TENSOR);
+  auto* mul_op_1 = global_block->AppendOp();
+
+  mul_op_1->SetType("mul");
+  mul_op_1->SetInput("X", {mul_1_x->Name()});
+  mul_op_1->SetInput("Y", {mul_1_y->Name()});
+  mul_op_1->SetOutput("Y", {mul_1_out->Name()});
+
+  // building cond op such as less_than
+  auto* less_than_op_1 = global_block->AppendOp();
+  less_than_op_1->SetType("less_than");
+  auto* less_than_1_x = global_block->Var("Less_than_1_X");
+  less_than_1_x->SetType(proto::VarType::LOD_TENSOR);
+  less_than_1_x->SetLoDLevel(0);
+  less_than_1_x->SetDataType(proto::VarType::FP32);
+  less_than_1_x->SetShape({1});
+
+  auto* less_than_1_y = global_block->Var("Less_than_1_Y");
+  less_than_1_y->SetType(proto::VarType::LOD_TENSOR);
+  less_than_1_y->SetLoDLevel(0);
+  less_than_1_y->SetDataType(proto::VarType::FP32);
+  less_than_1_y->SetShape({1});
+
+  auto* less_than_1_out = global_block->Var("Less_than_1_Out");
+  less_than_1_out->SetType(proto::VarType::BOOL);
+
+  less_than_op_1->SetInput("X", {less_than_1_x->Name()});
+  less_than_op_1->SetInput("Y", {less_than_1_y->Name()});
+  less_than_op_1->SetOutput("Out", {less_than_1_out->Name()});
+
+  BlockDesc* sub_block = program->AppendBlock(*global_block);
+  std::vector<BlockDesc*> sub_blocks;
+  sub_blocks.push_back(sub_block);
+
+  BlockDesc* sub_block2 =
+      program->AppendBlock(*sub_block);  // for testing nested case.
+  sub_blocks.push_back(sub_block2);
+
+  // building while op in sub_block
+  auto* while_op = global_block->AppendOp();
+  while_op->SetType("while");
+  while_op->SetAttr("sub_block", sub_blocks[0]);
+
+  auto* while_x = global_block->Var("While_X");
+  while_x->SetType(proto::VarType::LOD_TENSOR);
+  while_x->SetLoDLevel(0);
+  while_x->SetDataType(proto::VarType::FP32);
+  while_x->SetShape({1});
+
+  while_op->SetInput("kX", {while_x->Name()});
+  while_op->SetInput("kCondition", {less_than_1_out->Name()});
+
+  auto* while_out = global_block->Var("While_Out");
+  while_out->SetType(proto::VarType::LOD_TENSOR);
+  while_out->SetLoDLevel(0);
+  while_out->SetDataType(proto::VarType::FP32);
+  while_out->SetShape({1});
+
+  auto* steps = global_block->Var("StepScopes");
+
+  while_op->SetOutput("kOutputs", {while_out->Name()});
+  while_op->SetOutput("kStepScopes", {steps->Name()});
+
+  auto* mul_2_x = global_block->Var("Mul_2_X");
+  mul_2_x->SetType(proto::VarType::LOD_TENSOR);
+  mul_2_x->SetLoDLevel(0);
+  mul_2_x->SetDataType(proto::VarType::FP32);
+  mul_2_x->SetShape({1000, 784});
+
+  auto* mul_2_y = global_block->Var("Mul_2_Y");
+  mul_2_y->SetType(proto::VarType::LOD_TENSOR);
+  mul_2_y->SetLoDLevel(0);
+  mul_2_y->SetDataType(proto::VarType::FP32);
+  mul_2_y->SetShape({784, 100});
+
+  auto* mul_op_2 = sub_blocks[0]->AppendOp();
+  mul_op_2->SetType("mul");
+  mul_op_2->SetInput("X", {mul_2_x->Name()});
+  mul_op_2->SetInput("Y", {mul_2_y->Name()});
+
+  auto* mul_2_out = global_block->Var("Mul_2_Out");
+  mul_2_out->SetType(proto::VarType::LOD_TENSOR);
+  mul_op_2->SetOutput("Y", {mul_2_out->Name()});
+
+  auto* less_than_op_2 = sub_blocks[0]->AppendOp();
+  less_than_op_2->SetType("less_than");
+  auto* less_than_2_x = global_block->Var("Less_than_2_X");
+  less_than_2_x->SetType(proto::VarType::LOD_TENSOR);
+  less_than_2_x->SetLoDLevel(0);
+  less_than_2_x->SetDataType(proto::VarType::FP32);
+  less_than_2_x->SetShape({1});
+
+  auto* less_than_2_y = global_block->Var("Less_than_2_Y");
+  less_than_2_y->SetType(proto::VarType::LOD_TENSOR);
+  less_than_2_y->SetLoDLevel(0);
+  less_than_2_y->SetDataType(proto::VarType::FP32);
+  less_than_2_y->SetShape({1});
+
+  less_than_op_2->SetInput("X", {less_than_2_x->Name()});
+  less_than_op_2->SetInput("Y", {less_than_2_y->Name()});
+
+  auto* less_than_2_out = global_block->Var("Less_than_2_Out");
+  less_than_2_out->SetType(proto::VarType::BOOL);
+  less_than_op_2->SetOutput("Out", {less_than_2_out->Name()});
+
+  auto* cond_op = sub_blocks[0]->AppendOp();
+  cond_op->SetType("conditional_block");
+  cond_op->SetAttr("sub_block", sub_blocks[1]);
+
+  auto* cond_x = sub_blocks[0]->Var("Cond_X");
+  cond_x->SetType(proto::VarType::LOD_TENSOR);
+  cond_x->SetLoDLevel(0);
+  cond_x->SetDataType(proto::VarType::FP32);
+  cond_x->SetShape({1});
+
+  cond_op->SetInput("kInputs", {cond_x->Name()});
+  cond_op->SetInput("kCondition", {less_than_2_out->Name()});
+
+  auto* cond_out = sub_blocks[0]->Var("Cond_Out");
+  cond_out->SetType(proto::VarType::LOD_TENSOR);
+  cond_out->SetLoDLevel(0);
+  cond_out->SetDataType(proto::VarType::FP32);
+  cond_out->SetShape({1});
+
+  auto* scope = sub_blocks[0]->Var("Scope");
+  scope->SetType(proto::VarType::STEP_SCOPES);
+
+  cond_op->SetOutput("kOutputs", {cond_out->Name()});
+  cond_op->SetOutput("kScope", {scope->Name()});
+
+  auto* mul_3_x = global_block->Var("Mul_3_X");
+  mul_3_x->SetType(proto::VarType::LOD_TENSOR);
+  mul_3_x->SetLoDLevel(0);
+  mul_3_x->SetDataType(proto::VarType::FP32);
+  mul_3_x->SetShape({1000, 784});
+
+  auto* mul_3_y = global_block->Var("Mul_3_Y");
+  mul_3_y->SetType(proto::VarType::LOD_TENSOR);
+  mul_3_y->SetLoDLevel(0);
+  mul_3_y->SetDataType(proto::VarType::FP32);
+  mul_3_y->SetShape({784, 100});
+
+  auto* mul_3_out = global_block->Var("Mul_3_Out");
+  mul_3_out->SetType(proto::VarType::LOD_TENSOR);
+
+  auto* mul_op_3 = sub_blocks[1]->AppendOp();
+  mul_op_3->SetType("mul");
+  mul_op_3->SetInput("X", {mul_3_x->Name()});
+  mul_op_3->SetInput("Y", {mul_3_y->Name()});
+  mul_op_3->SetOutput("Y", {mul_3_out->Name()});
+}
+
+bool VarComparator(const VarDesc* a, const VarDesc* b) {
+  return a->Name() < b->Name();
+}
+
+void CheckBlockVarsEqual(const BlockDesc& before_block,
+                         const BlockDesc& after_block) {
+  auto before_vars = before_block.AllVars();
+  auto after_vars = after_block.AllVars();
+
+  EXPECT_EQ(before_vars.size(), after_vars.size());
+
+  // var's order is unimportant
+  std::sort(before_vars.begin(), before_vars.end(), VarComparator);
+  std::sort(after_vars.begin(), after_vars.end(), VarComparator);
+
+  for (size_t var_idx = 0; var_idx < before_vars.size(); ++var_idx) {
+    const auto& before_var = before_vars.at(var_idx);
+    const auto& after_var = after_vars.at(var_idx);
+
+    EXPECT_EQ(before_var->Name(), after_var->Name());
+    EXPECT_EQ(before_var->GetType(), after_var->GetType());
+  }
+}
+
+void CheckOpInputsEqual(const OpDesc* before_op, const OpDesc* after_op) {
+  const auto& before_inputs = before_op->InputNames();
+  const auto& after_inputs = after_op->InputNames();
+
+  EXPECT_EQ(before_inputs.size(), after_inputs.size());
+  for (size_t in_idx = 0; in_idx < before_inputs.size(); ++in_idx) {
+    const auto& before_in_arg = before_inputs[in_idx];
+    const auto& after_in_arg = after_inputs[in_idx];
+    EXPECT_EQ(before_in_arg, after_in_arg);
+
+    const auto& before_in_vars = before_op->Input(before_in_arg);
+    const auto& after_in_vars = after_op->Input(after_in_arg);
+    EXPECT_EQ(before_in_vars, after_in_vars);
+  }
+}
+
+void CheckOpOutputsEqual(const OpDesc* before_op, const OpDesc* after_op) {
+  const auto& before_outputs = before_op->OutputNames();
+  const auto& after_outputs = after_op->OutputNames();
+
+  EXPECT_EQ(before_outputs.size(), after_outputs.size());
+  for (size_t out_idx = 0; out_idx < before_outputs.size(); ++out_idx) {
+    const auto& before_out_arg = before_outputs[out_idx];
+    const auto& after_out_arg = after_outputs[out_idx];
+    EXPECT_EQ(before_out_arg, after_out_arg);
+
+    const auto& before_out_vars = before_op->Output(before_out_arg);
+    const auto& after_out_vars = after_op->Output(after_out_arg);
+    EXPECT_EQ(before_out_vars, after_out_vars);
+  }
+}
+
+void CheckOpAttrsEqual(const OpDesc* before_op, const OpDesc* after_op) {
+  const auto& before_attrs = before_op->AttrNames();
+  const auto& after_attrs = after_op->AttrNames();
+
+  EXPECT_EQ(before_attrs.size(), after_attrs.size());
+  for (size_t attr_idx = 0; attr_idx < before_attrs.size(); ++attr_idx) {
+    const auto& before_attr = before_attrs[attr_idx];
+    const auto& after_attr = after_attrs[attr_idx];
+    EXPECT_EQ(before_attr, after_attr);
+
+    EXPECT_EQ(before_op->GetAttrType(before_attr),
+              after_op->GetAttrType(after_attr));
+  }
+}
+
+void CheckBlockOpsEqual(const BlockDesc& before_block,
+                        const BlockDesc& after_block) {
+  EXPECT_EQ(before_block.OpSize(), after_block.OpSize());
+
+  // op's order must be the same
+  for (size_t op_idx = 0; op_idx < before_block.OpSize(); ++op_idx) {
+    const auto& before_op = before_block.Op(op_idx);
+    const auto& after_op = after_block.Op(op_idx);
+
+    EXPECT_EQ(before_op->Type(), after_op->Type());
+
+    // Step4.2.1 : check each op's input
+    CheckOpInputsEqual(before_op, after_op);
+
+    // Step4.2.2 : check each op's output
+    CheckOpOutputsEqual(before_op, after_op);
+
+    // Step4.2.3 : check each op's attribute
+    CheckOpAttrsEqual(before_op, after_op);
+  }
+}
+
+TEST(GraphToProgramPass, MultiBlock) {
+  // Set FLAGS_convert_all_blocks to true to make sure this test works.
+  bool flag_temp = FLAGS_convert_all_blocks;
+  FLAGS_convert_all_blocks = true;
+
+  // Step1: Build a program with multi block
+  ProgramDesc before_prog;
+  BuildProgramWithMultiBlock(&before_prog);
+
+  // Step2: Convert program into graph
+  std::unique_ptr<Graph> g(new ir::Graph(before_prog));
+
+  // Step3 : Convert graph back to program
+  auto pass = paddle::framework::ir::PassRegistry::Instance().Get(
+      "graph_to_program_pass");
+
+  ProgramDesc after_prog;
+  pass->SetNotOwned<paddle::framework::ProgramDesc>("program", &after_prog);
+  pass->Apply(g.get());
+
+  // Step4 : Check tow program equal
+  EXPECT_EQ(before_prog.Size(), after_prog.Size());
+
+  for (size_t block_idx = 0; block_idx < before_prog.Size(); ++block_idx) {
+    const auto& before_block = before_prog.Block(block_idx);
+    const auto& after_block = after_prog.Block(block_idx);
+
+    EXPECT_EQ(before_block.ID(), after_block.ID());
+
+    // Step4.1 : check each block's var
+    CheckBlockVarsEqual(before_block, after_block);
+
+    // Step4.2 : check each block's op
+    CheckBlockOpsEqual(before_block, after_block);
+  }
+
+  // Recover FLAGS_convert_all_blocks.
+  FLAGS_convert_all_blocks = flag_temp;
+}
+
+void BuildProgramWithScaleLossGrad(Graph* g) {
+  OpDesc op1;
+  op1.SetType("op1");
+  OpDesc op2;
+  op2.SetType("op2");
+  OpDesc op3;
+  op3.SetType("op3");
+  OpDesc op4;
+  op4.SetType("op4");
+  VarDesc var1("var1");
+  VarDesc var2("var2");
+
+  ir::Node* o1 = g->CreateOpNode(&op1);
+  ir::Node* o2 = g->CreateOpNode(&op2);
+  ir::Node* o3 =
+      g->CreateEmptyNode("scale_loss_grad", ir::Node::Type::kOperation);
+  ir::Node* o4 =
+      g->CreateEmptyNode("scale_loss_grad", ir::Node::Type::kOperation);
+  ir::Node* v1 = g->CreateVarNode(&var1);
+  ir::Node* v2 = g->CreateVarNode(&var2);
+
+  // o1->v1->o2
+  o1->outputs.push_back(v1);
+  o2->inputs.push_back(v1);
+  v1->inputs.push_back(o1);
+  v1->outputs.push_back(o2);
+  // o3->v1
+  o3->outputs.push_back(v1);
+  v1->inputs.push_back(o1);
+  v1->inputs.push_back(o3);
+  // o4->v2
+  o4->outputs.push_back(v2);
+  v2->inputs.push_back(o4);
+}
+
+TEST(GraphToProgramPass, ReplaceScaleLossGrad) {
+  // Step1: Build a program with multi block
+  ProgramDesc before_prog;
+  Graph before_graph(before_prog);
+  BuildProgramWithScaleLossGrad(&before_graph);
+
+  // Step2 : Convert graph back to program
+  auto pass = paddle::framework::ir::PassRegistry::Instance().Get(
+      "graph_to_program_pass");
+
+  ProgramDesc after_prog;
+  pass->SetNotOwned<paddle::framework::ProgramDesc>("program", &after_prog);
+  pass->Apply(&before_graph);
+
+  // Step3 : statistics scale_loss_grad and fill_constant number
+  int scale_node_num = 0, fill_node_num = 0;
+  const auto& before_nodes_set = before_graph.Nodes();
+  for (const auto& n : before_nodes_set) {
+    if (n->Name() == "scale_loss_grad") {
+      ++scale_node_num;
+    } else if (n->Name() == "fill_constant") {
+      ++fill_node_num;
+    }
+  }
+
+  int scale_op_num = 0, fill_op_num = 0;
+  const auto& block = after_prog.Block(0);
+  for (const auto& op : block.AllOps()) {
+    if (op->Type() == "fill_constant") {
+      ++fill_op_num;
+    } else if (op->Type() == "scale_loss_grad") {
+      ++scale_op_num;
+    }
+  }
+
+  // Check pass OK
+  EXPECT_EQ(scale_op_num, 0);
+  EXPECT_EQ(scale_node_num + fill_node_num, fill_op_num);
+}
+
 }  // namespace ir
 }  // namespace framework
 }  // namespace paddle
diff --git a/paddle/fluid/framework/ir/memory_optimize_pass/while_op_eager_deletion_pass.cc b/paddle/fluid/framework/ir/memory_optimize_pass/while_op_eager_deletion_pass.cc
index 6755cf0b2757eb776d95b12d8567be4b646a7ea6..c9fdfafe4c4b3e567b497ef5910d12fe02001249 100644
--- a/paddle/fluid/framework/ir/memory_optimize_pass/while_op_eager_deletion_pass.cc
+++ b/paddle/fluid/framework/ir/memory_optimize_pass/while_op_eager_deletion_pass.cc
@@ -26,6 +26,13 @@ using OpVariant = operators::OpVariant;
 class WhileOpEagerDeletionPass : public ir::Pass {
  protected:
   void ApplyImpl(ir::Graph *graph) const override {
+    if (!graph->IsMainGraph()) {
+      // TODO(zhhsplendid): the WhileOpEagerDeletionPass is based on old Graph,
+      // which only applies to the main block graph. The new Eager Deletion
+      // Technical can be added after we write new while_op based on SubGraph
+      // instead of SubBlock
+      return;
+    }
     auto all_ops = ir::FilterByNodeWrapper<details::OpHandleBase>(*graph);
 
     // Find all while_op and while_grad_op. In case of @to_static, graph
@@ -47,6 +54,7 @@ class WhileOpEagerDeletionPass : public ir::Pass {
       }
     }
     if (graph->IsConstructedByPartialProgram()) {
+      VLOG(4) << "Is Paritial Program";
       PADDLE_ENFORCE_LE(
           target_ops.size(), 1,
           platform::errors::InvalidArgument(
@@ -69,8 +77,11 @@ class WhileOpEagerDeletionPass : public ir::Pass {
     }
 
     for (auto &ops_pair : target_ops) {
+      VLOG(4) << "Scope Idx = " << ops_pair.first;
       auto &while_ops = ops_pair.second.first;
+      VLOG(4) << "while_ops.size() = " << while_ops.size();
       auto &while_grad_ops = ops_pair.second.second;
+      VLOG(4) << "while_grad_ops.size() = " << while_grad_ops.size();
       operators::PrepareSafeEagerDeletionOnWhileOpAndWhileGradOp(
           graph->OriginProgram(), while_ops, while_grad_ops);
     }
diff --git a/paddle/fluid/framework/ir/node.cc b/paddle/fluid/framework/ir/node.cc
index 7143c9a7a3e86c88920ebfc66f90650e68505c74..51542fc80850f0d1d77052ac3cd4b29f40ce7012 100644
--- a/paddle/fluid/framework/ir/node.cc
+++ b/paddle/fluid/framework/ir/node.cc
@@ -30,7 +30,7 @@ std::unique_ptr<Node> CreateNodeForTest(const std::string &name,
 }
 
 std::unique_ptr<Node> CreateNodeForTest(VarDesc *var_desc) {
-  return std::unique_ptr<Node>(new Node(var_desc));
+  return std::unique_ptr<Node>(new Node(var_desc, 0));
 }
 
 std::unique_ptr<Node> CreateNodeForTest(OpDesc *op_desc) {
diff --git a/paddle/fluid/framework/ir/node.h b/paddle/fluid/framework/ir/node.h
index d0db3bd36e13fa69d6c549916adc5ca1365784c4..d0568f39ef6a450b6a3605feb9fb0433684d750e 100644
--- a/paddle/fluid/framework/ir/node.h
+++ b/paddle/fluid/framework/ir/node.h
@@ -136,9 +136,98 @@ class Node {
     var_desc_->SetName(new_name);
   }
 
+  int DescOrder() const { return desc_order_; }
+
+  int GetVarNodeBlockId() const {
+    PADDLE_ENFORCE_EQ(
+        type_ == Type::kVariable && var_desc_, true,
+        platform::errors::InvalidArgument("Node must be type of variable."));
+    return block_id_;
+  }
+
+  const std::string ToString() const {
+    if (IsOp()) {
+      std::string op_str(Name());
+
+      const auto& op = Op();
+      if (op == nullptr) {
+        // Node is an Op but hasn't OpDesc (often create by CreateEmptyNode),
+        // like ScaleLossGradOp, it's type is OpHandle, which created by Pass
+        // and then inserted into graph.
+        // For OpHandle, we have to use Node's input and output for sorting.
+        std::vector<Node*> sorted_inputs(inputs);
+        std::vector<Node*> sorted_outputs(outputs);
+
+        auto comparator = [](Node* a, Node* b) {
+          return a->Name() > b->Name();
+        };
+        std::stable_sort(sorted_inputs.begin(), sorted_inputs.end(),
+                         comparator);
+        std::stable_sort(sorted_outputs.begin(), sorted_outputs.end(),
+                         comparator);
+
+        std::string out_str = "{";
+        std::string pre_str = "";
+        for (const auto& output : sorted_outputs) {
+          out_str.append(pre_str + output->Name());
+          pre_str = ", ";
+        }
+        out_str.append("} = ");
+
+        std::string in_str = "(";
+        pre_str = "";
+        for (const auto& input : sorted_inputs) {
+          in_str.append(pre_str + input->Name());
+          pre_str = ", ";
+        }
+        in_str.append(")");
+        op_str = out_str + op_str + in_str;
+      } else {
+        // A normal Op, has OpDesc, create from ProgramDesc
+        std::string out_str = "{";
+        std::string outer_pre_str = "";
+        for (const auto& output : op->OutputNames()) {
+          out_str.append(outer_pre_str + output + "=[");
+          std::string inner_pre_str = "";
+          for (const auto& arg : op->Output(output)) {
+            out_str.append(inner_pre_str + arg);
+            inner_pre_str = " ,";
+          }
+          outer_pre_str = ", ";
+          out_str.append("]");
+        }
+        out_str.append("} = ");
+
+        std::string in_str = "(";
+        outer_pre_str = "";
+        for (const auto& input : op->InputNames()) {
+          in_str.append(outer_pre_str + input + "=[");
+          std::string inner_pre_str = "";
+          for (const auto& arg : op->Input(input)) {
+            in_str.append(inner_pre_str + arg);
+            inner_pre_str = " ,";
+          }
+          outer_pre_str = " ,";
+          in_str.append("]");
+        }
+        in_str.append(")");
+        op_str = out_str + op_str + in_str;
+      }
+
+      return op_str;
+    }
+    return Name();
+  }
+
   std::vector<Node*> inputs;
   std::vector<Node*> outputs;
 
+  // Because NO_DESC_ORDER is a constexpr number,
+  // no one can change it, meanwhile, we need
+  // check whether the DescOrder invalid sometime,
+  // so expose it is a good idea
+  static constexpr int NO_DESC_ORDER = INT_MAX;
+
  protected:
   std::string name_;
   std::unique_ptr<VarDesc> var_desc_;
@@ -146,30 +235,45 @@ class Node {
   Type type_;
   int id_;
 
+  int desc_order_;
+  int block_id_{-1};
+
  private:
   // ID can only set by a Graph.
   void SetId(int id) { id_ = id; }
 
+  // desc_order can only set by a Graph when constructing a Graph from a
+  // BlockDesc.
+  void SetDescOrder(int desc_order) { desc_order_ = desc_order; }
+
   friend class Graph;
   friend std::unique_ptr<Node> CreateNodeForTest(const std::string& name,
                                                  Node::Type type);
   friend std::unique_ptr<Node> CreateNodeForTest(VarDesc* var_desc);
   friend std::unique_ptr<Node> CreateNodeForTest(OpDesc* op_desc);
 
-  explicit Node(const std::string& name, Type type)
-      : name_(name), var_desc_(nullptr), op_desc_(nullptr), type_(type) {}
+  explicit Node(const std::string& name, Type type, int block_id = 0)
+      : name_(name),
+        var_desc_(nullptr),
+        op_desc_(nullptr),
+        type_(type),
+        desc_order_(NO_DESC_ORDER),
+        block_id_(block_id) {}
 
-  explicit Node(VarDesc* var_desc)
+  explicit Node(VarDesc* var_desc, int block_id)
       : name_(var_desc->Name()),
         var_desc_(new VarDesc(*var_desc)),
         op_desc_(nullptr),
-        type_(Type::kVariable) {}
+        type_(Type::kVariable),
+        desc_order_(NO_DESC_ORDER),
+        block_id_(block_id) {}
 
   explicit Node(OpDesc* op_desc)
       : name_(op_desc->Type()),
         var_desc_(nullptr),
         op_desc_(new OpDesc(*op_desc, op_desc->Block())),
-        type_(Type::kOperation) {}
+        type_(Type::kOperation),
+        desc_order_(NO_DESC_ORDER) {}
 
   Node() = delete;
 
diff --git a/paddle/fluid/framework/ir/node_test.cc b/paddle/fluid/framework/ir/node_test.cc
index 73f5b6619c1a7aa9d5a51b76a44d86464a6c6d37..9c47df402bdf2d51b597e1771457f39f37e10ceb 100644
--- a/paddle/fluid/framework/ir/node_test.cc
+++ b/paddle/fluid/framework/ir/node_test.cc
@@ -14,6 +14,7 @@ limitations under the License. */
 
 #include "paddle/fluid/framework/ir/node.h"
 #include "gtest/gtest.h"
+#include "paddle/fluid/framework/var_desc.h"
 
 namespace paddle {
 namespace framework {
@@ -75,6 +76,32 @@ TEST(NodeTest, Basic) {
   EXPECT_FALSE(alive2);
 }
 
+TEST(NodeTest, ToString) {
+  VarDesc var_desc("n2");
+  OpDesc op_desc;
+  op_desc.SetType("test_op");
+  op_desc.SetInput("X", {"x1", "x2", "x3"});
+  op_desc.SetOutput("Y", {"y1", "y2"});
+
+  std::unique_ptr<Node> n1(CreateNodeForTest("n1", Node::Type::kVariable));
+  std::unique_ptr<Node> n2(CreateNodeForTest(&var_desc));
+  std::unique_ptr<Node> n3(CreateNodeForTest("n3", Node::Type::kOperation));
+  std::unique_ptr<Node> n4(CreateNodeForTest(&op_desc));
+
+  EXPECT_EQ(n1->ToString(), "n1");
+  EXPECT_EQ(n2->ToString(), "n2");
+
+  EXPECT_EQ(n3->Op(), nullptr);
+  EXPECT_EQ(n3->ToString(), "{} = n3()");
+  EXPECT_NE(n4->Op(), nullptr);
+  EXPECT_EQ(n4->ToString(), "{Y=[y1 ,y2]} = test_op(X=[x1 ,x2 ,x3])");
+
+  n3->inputs.push_back(n1.get());
+  n3->outputs.push_back(n2.get());
+  EXPECT_EQ(n3->Op(), nullptr);
+  EXPECT_EQ(n3->ToString(), "{n2} = n3(n1)");
+}
+
 }  // namespace ir
 }  // namespace framework
 }  // namespace paddle