diff --git a/paddle/fluid/compiler/piano/note/CMakeLists.txt b/paddle/fluid/compiler/piano/note/CMakeLists.txt
index 2d176fe23895a..5490e68a31cdd 100644
--- a/paddle/fluid/compiler/piano/note/CMakeLists.txt
+++ b/paddle/fluid/compiler/piano/note/CMakeLists.txt
@@ -7,6 +7,7 @@ target_compile_options(note_proto PUBLIC "-Wno-extra")
 cc_library(note_template_util SRCS element_type_util.cc populate_attribute_value.cc DEPS note_proto)
 cc_test(note_element_type_util_test SRCS element_type_util_test.cc DEPS note_template_util)
 cc_test(note_populate_attribute_value_test SRCS populate_attribute_value_test.cc DEPS note_template_util)
+cc_test(note_type_traits_test SRCS type_traits_test.cc DEPS note_proto)
 
 cc_library(note_ir SRCS instruction.cc function.cc module.cc DEPS note_opcode note_proto piano_data_description note_template_util)
 cc_test(note_ir_test SRCS note_ir_test.cc DEPS note_ir)
diff --git a/paddle/fluid/compiler/piano/note/type_traits.h b/paddle/fluid/compiler/piano/note/type_traits.h
index 46e6f032caeb4..6b84e6e06a7fd 100644
--- a/paddle/fluid/compiler/piano/note/type_traits.h
+++ b/paddle/fluid/compiler/piano/note/type_traits.h
@@ -224,6 +224,29 @@ class UnboxingIterator : public ForwardIterator<SmartPtrIter> {
   SmartPtrIter iter_;
 };
 
+template <typename T, typename... AllType>
+struct IsOneOf : public std::false_type {};
+
+template <typename T, typename FrontType, typename... RestType>
+struct IsOneOf<T, FrontType, RestType...>
+    : public std::conditional<std::is_same<T, FrontType>::value, std::true_type,
+                              IsOneOf<T, RestType...>>::type {};
+
+template <typename T, typename VariantType>
+struct IsVariantMember;
+
+template <typename T, typename... AllType>
+struct IsVariantMember<T, boost::variant<AllType...>>
+    : public IsOneOf<T, AllType...> {};
+
+template <typename T>
+struct IsOneOfAttrType : public IsVariantMember<T, AttrType> {};
+
+template <typename T>
+struct IsVector : public std::false_type {};
+template <typename T, typename A>
+struct IsVector<std::vector<T, A>> : public std::true_type {};
+
 }  // namespace note
 }  // namespace piano
 }  // namespace paddle
diff --git a/paddle/fluid/compiler/piano/note/type_traits_test.cc b/paddle/fluid/compiler/piano/note/type_traits_test.cc
new file mode 100644
index 0000000000000..3d2381050181c
--- /dev/null
+++ b/paddle/fluid/compiler/piano/note/type_traits_test.cc
@@ -0,0 +1,35 @@
+/* Copyright (c) 2021 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. */
+
+#include "paddle/fluid/compiler/piano/note/type_traits.h"
+#include <type_traits>
+#include "gtest/gtest.h"
+
+namespace paddle {
+namespace piano {
+namespace note {
+
+TEST(IsOneOfAttrTypeTest, Basic) {
+  ASSERT_FALSE(IsOneOfAttrType<int8_t>::value);
+  ASSERT_TRUE(IsOneOfAttrType<std::vector<double>>::value);
+}
+
+TEST(IsVectorTest, Basic) {
+  ASSERT_FALSE(IsVector<int>::value);
+  ASSERT_TRUE(IsVector<std::vector<int>>::value);
+}
+
+}  // namespace note
+}  // namespace piano
+}  // namespace paddle
diff --git a/paddle/fluid/compiler/piano/shape.h b/paddle/fluid/compiler/piano/shape.h
index 791ea4b47a84d..684cbe5281d33 100644
--- a/paddle/fluid/compiler/piano/shape.h
+++ b/paddle/fluid/compiler/piano/shape.h
@@ -15,7 +15,10 @@ limitations under the License. */
 #pragma once
 
 #include <cstdint>
+#include <functional>
+#include <numeric>
 #include <string>
+#include <utility>
 #include <vector>
 #include "paddle/fluid/compiler/piano/layout.h"
 #include "paddle/fluid/compiler/piano/note/note.pb.h"
@@ -59,6 +62,15 @@ class Shape {
     return dimensions_.size();
   }
 
+  int64_t Numel() const {
+    if (IsTuple()) {
+      return tuple_shapes_.size();
+    } else {
+      return std::accumulate(std::begin(dimensions()), std::end(dimensions()),
+                             1, std::multiplies<int64_t>());
+    }
+  }
+
   // Returns whether the shape is of the specified type
   bool IsArray() const { return !IsTuple(); }
   bool IsTuple() const { return element_type() == note::ELEMENT_TYPE_TUPLE; }
diff --git a/paddle/fluid/compiler/piano/shape_test.cc b/paddle/fluid/compiler/piano/shape_test.cc
index 81f20c2a25589..6c43b9252f4a6 100644
--- a/paddle/fluid/compiler/piano/shape_test.cc
+++ b/paddle/fluid/compiler/piano/shape_test.cc
@@ -73,6 +73,16 @@ TEST_F(ShapeTest, ShapeToString) {
   ASSERT_EQ("f32[2, 3]{}", array_string);
 }
 
+TEST_F(ShapeTest, Basic) {
+  // scalar
+  ASSERT_EQ(0, scalar_.Rank());
+  ASSERT_EQ(1, scalar_.Numel());
+
+  // 2-D array
+  ASSERT_EQ(2, array1_.Rank());
+  ASSERT_EQ(18, array1_.Numel());
+}
+
 TEST_F(ShapeTest, EqualToOther) {
   Shape s8_d23_no_layout(note::S32, {2, 3});
   Shape f32_d23_no_layout(note::F32, {2, 3});
diff --git a/paddle/fluid/compiler/piano/symbolization/meta_op.cc b/paddle/fluid/compiler/piano/symbolization/meta_op.cc
index 0ec08ee20da2d..399107d57eb65 100644
--- a/paddle/fluid/compiler/piano/symbolization/meta_op.cc
+++ b/paddle/fluid/compiler/piano/symbolization/meta_op.cc
@@ -17,7 +17,6 @@ limitations under the License. */
 #include <numeric>
 #include <utility>
 #include "paddle/fluid/compiler/piano/note/note.pb.h"
-#include "paddle/fluid/compiler/piano/symbolization/shape_inference.h"
 #include "paddle/fluid/platform/enforce.h"
 
 namespace paddle {
diff --git a/paddle/fluid/compiler/piano/symbolization/meta_op.h b/paddle/fluid/compiler/piano/symbolization/meta_op.h
index 3d0c68c4c131e..d2e202b871356 100644
--- a/paddle/fluid/compiler/piano/symbolization/meta_op.h
+++ b/paddle/fluid/compiler/piano/symbolization/meta_op.h
@@ -16,13 +16,16 @@ limitations under the License. */
 
 #include <cstdint>
 #include <string>
+#include <type_traits>
 #include <utility>
 #include <vector>
 #include "paddle/fluid/compiler/piano/note/attribute_key_defs.h"
 #include "paddle/fluid/compiler/piano/note/element_type_util.h"
 #include "paddle/fluid/compiler/piano/note/populate_attribute_value.h"
+#include "paddle/fluid/compiler/piano/note/type_traits.h"
 #include "paddle/fluid/compiler/piano/shape.h"
 #include "paddle/fluid/compiler/piano/symbolization/note_builder.h"
+#include "paddle/fluid/compiler/piano/symbolization/shape_inference.h"
 
 namespace paddle {
 namespace piano {
@@ -36,15 +39,20 @@ class Operand;
 Operand Parameter(NoteBuilder* builder, int64_t parameter_index,
                   const Shape& shape, const std::string& name);
 
-// a constant instruction passing literal 'value' with 0-D array(scalar)
-// `builder`: NoteBuilder of current module
-// `value`: The scalar value. users should explicitly specifiy the
-//     data type when the value may be obscure and deduced to
-//     another compatible type
+// a constant instruction literal 'value' with N-D array
+// (scalar or multi-dimension array)
+//    `builder`: NoteBuilder of current module
+//    `value`: The literal value. users should explicitly specifiy the
+//        data type when the value may be obscure and deduced to
+//        another compatible type
+//    `shape`: Shape of the literal
 template <typename NativeT>
-Operand ConstantD0(NoteBuilder* builder, NativeT value) {
-  // construct shape
-  Shape result_shape(note::NativeToElementTypeProto<NativeT>(), {});
+Operand Constant(NoteBuilder* builder, const NativeT& value,
+                 const Shape& shape) {
+  static_assert(note::IsOneOfAttrType<NativeT>::value,
+                "This NativeT is not supported in Constant");
+
+  auto result_shape = InferConstantShape<NativeT>(value, shape);
   note::InstructionProto instr;
   *instr.mutable_shape() = result_shape.ToProto();
   // fill attribute of kConstant instruction
diff --git a/paddle/fluid/compiler/piano/symbolization/meta_op_test.cc b/paddle/fluid/compiler/piano/symbolization/meta_op_test.cc
index c8afbbb511e3f..c3dd18b1fe31c 100644
--- a/paddle/fluid/compiler/piano/symbolization/meta_op_test.cc
+++ b/paddle/fluid/compiler/piano/symbolization/meta_op_test.cc
@@ -32,24 +32,34 @@ TEST(MetaOpTest, TestParameter) {
   EXPECT_EQ(Shape(note::F32, {1, 2}), param_op.Shape());
 }
 
-TEST(MetaOpTest, TestConstantD0) {
-  NoteBuilder builder("test_constant_d0");
-  auto constant_d0_op = ConstantD0<int32_t>(&builder, 110);
+TEST(MetaOpTest, TestConstant) {
+  NoteBuilder builder("test_constant");
+  // add a constant instruction with scalar value
+  auto constant_d0_op = Constant<int32_t>(&builder, 110, Shape(note::S32, {}));
   ASSERT_EQ(&builder, constant_d0_op.Builder());
   EXPECT_TRUE(constant_d0_op.Valid());
   EXPECT_EQ(Shape(note::S32, {}), constant_d0_op.Shape());
+  // append a constant instruction with 2-D array value
+  auto constant_d2_op = Constant(&builder, std::vector<int32_t>({110, 119}),
+                                 Shape(note::S32, {1, 2}));
+  ASSERT_EQ(&builder, constant_d2_op.Builder());
+  EXPECT_TRUE(constant_d2_op.Valid());
+  EXPECT_EQ(Shape(note::S32, {1, 2}), constant_d2_op.Shape());
 
+  // check the final build module
   auto&& module_proto = builder.Build();
   ASSERT_EQ(1, module_proto.functions_size());
   const auto& entry_proto = module_proto.functions(0);
-  ASSERT_EQ(1, entry_proto.instructions_size());
+  ASSERT_EQ(2, entry_proto.instructions_size());
   EXPECT_EQ(note::GetOpName(note::OpCode::kConstant),
             entry_proto.instructions(0).opcode());
-  const auto& constant_instr = entry_proto.instructions(0);
-  ASSERT_EQ(1, constant_instr.attrs().size());
-  const auto& attr_value = constant_instr.attrs().at(note::kConstantValue);
-  ASSERT_TRUE(attr_value.has_i());
-  EXPECT_EQ(110, attr_value.i());
+  const auto& constant_d2_instr = entry_proto.instructions(1);
+  ASSERT_EQ(1, constant_d2_instr.attrs().size());
+  const auto& attr_value = constant_d2_instr.attrs().at(note::kConstantValue);
+  ASSERT_TRUE(attr_value.has_ints());
+  EXPECT_EQ(2, attr_value.ints().value_size());
+  EXPECT_EQ(110, attr_value.ints().value(0));
+  EXPECT_EQ(119, attr_value.ints().value(1));
 }
 
 TEST(MetaOpTest, TestBroadcast) {
diff --git a/paddle/fluid/compiler/piano/symbolization/shape_inference.h b/paddle/fluid/compiler/piano/symbolization/shape_inference.h
index 61583bdfb28f3..7b89f8c92a9ee 100644
--- a/paddle/fluid/compiler/piano/symbolization/shape_inference.h
+++ b/paddle/fluid/compiler/piano/symbolization/shape_inference.h
@@ -16,6 +16,7 @@ limitations under the License. */
 
 #include <vector>
 #include "paddle/fluid/compiler/piano/note/opcode.h"
+#include "paddle/fluid/compiler/piano/note/type_traits.h"
 #include "paddle/fluid/compiler/piano/shape.h"
 
 namespace paddle {
@@ -39,6 +40,32 @@ Shape InferBroadcastShape(const Shape& input_shape,
                           const std::vector<int64_t>& out_dimensions,
                           const std::vector<int64_t>& dimensions_alignment);
 
+// inference for constant operation
+template <typename NativeT>
+typename std::enable_if<note::IsVector<NativeT>::value>::type ValidateShape(
+    const NativeT& value, const Shape& shape) {
+  PADDLE_ENFORCE_EQ(shape.IsArray(), true,
+                    platform::errors::InvalidArgument(
+                        "Shape of vector input should be array tuple"));
+  PADDLE_ENFORCE_EQ(
+      shape.Numel(), value.size(),
+      platform::errors::InvalidArgument("Number of element should be euqal to"
+                                        "the shape contains"));
+}
+
+template <typename NativeT>
+typename std::enable_if<!note::IsVector<NativeT>::value>::type ValidateShape(
+    const NativeT& value, const Shape& shape) {
+  PADDLE_ENFORCE_EQ(shape.Rank(), 0, platform::errors::InvalidArgument(
+                                         "Rank of Scalar value should be 0"));
+}
+
+template <typename NativeT>
+Shape InferConstantShape(const NativeT& value, const Shape& shape) {
+  ValidateShape(value, shape);
+  return shape;
+}
+
 }  // namespace symbolization
 }  // namespace piano
 }  // namespace paddle
diff --git a/paddle/fluid/compiler/piano/symbolization/shape_inference_test.cc b/paddle/fluid/compiler/piano/symbolization/shape_inference_test.cc
index e6d1cc5dee3b5..808324506d55e 100644
--- a/paddle/fluid/compiler/piano/symbolization/shape_inference_test.cc
+++ b/paddle/fluid/compiler/piano/symbolization/shape_inference_test.cc
@@ -63,6 +63,22 @@ TEST(ShapeInferenceTest, TestInferBroadcastShape) {
   ASSERT_EQ(Shape(note::U64, {2, 3, 6}), res2);
 }
 
+TEST(ShapeInferenceTest, TestInferConstantShape) {
+  // check validation on scalar value
+  ASSERT_THROW(InferConstantShape<int32_t>(110, Shape(note::F32, {1})),
+               paddle::platform::EnforceNotMet);
+
+  // check validation on multi-dimension array value
+  ASSERT_THROW(InferConstantShape(std::vector<int32_t>({110, 119}),
+                                  Shape(note::F32, {1})),
+               paddle::platform::EnforceNotMet);
+
+  // normal call
+  ASSERT_EQ(Shape(note::F32, {1, 2}),
+            InferConstantShape(std::vector<int32_t>({110, 119}),
+                               Shape(note::F32, {1, 2})));
+}
+
 }  // namespace symbolization
 }  // namespace piano
 }  // namespace paddle