diff --git a/releasenotes/notes/global-phase-9fc2105dac076f48.yaml b/releasenotes/notes/global-phase-9fc2105dac076f48.yaml
new file mode 100644
index 0000000000..b63efadf16
--- /dev/null
+++ b/releasenotes/notes/global-phase-9fc2105dac076f48.yaml
@@ -0,0 +1,7 @@
+---
+features:
+  - |
+    Adds support for qobj global phase to the
+    :class:`~qiskit.providers.aer.StatevectorSimulator`,
+    :class:`~qiskit.providers.aer.UnitarySimulator`, and statevector
+    methods of the :class:`~qiskit.providers.aer.QasmSimulator`.
diff --git a/src/controllers/qasm_controller.hpp b/src/controllers/qasm_controller.hpp
index 3272afeb45..2ff6ff719e 100755
--- a/src/controllers/qasm_controller.hpp
+++ b/src/controllers/qasm_controller.hpp
@@ -886,6 +886,7 @@ void QasmController::run_circuit_helper(const Circuit& circ,
   // Set state config
   state.set_config(config);
   state.set_parallalization(parallel_state_update_);
+  state.set_global_phase(circ.global_phase_angle);
 
   // Rng engine
   RngEngine rng;
diff --git a/src/controllers/statevector_controller.hpp b/src/controllers/statevector_controller.hpp
index 2a3b3579a2..b4a69bf1a1 100755
--- a/src/controllers/statevector_controller.hpp
+++ b/src/controllers/statevector_controller.hpp
@@ -294,6 +294,7 @@ void StatevectorController::run_circuit_helper(
   // Set config
   state.set_config(config);
   state.set_parallalization(parallel_state_update_);
+  state.set_global_phase(circ.global_phase_angle);
 
   // Rng engine
   RngEngine rng;
diff --git a/src/controllers/unitary_controller.hpp b/src/controllers/unitary_controller.hpp
index 5e3f99283f..74f143a71e 100755
--- a/src/controllers/unitary_controller.hpp
+++ b/src/controllers/unitary_controller.hpp
@@ -282,6 +282,7 @@ void UnitaryController::run_circuit_helper(
   // Set state config
   state.set_config(config);
   state.set_parallalization(parallel_state_update_);
+  state.set_global_phase(circ.global_phase_angle);
 
   // Rng engine (not actually needed for unitary controller)
   RngEngine rng;
diff --git a/src/framework/circuit.hpp b/src/framework/circuit.hpp
index 4781a3ffae..171a077d17 100755
--- a/src/framework/circuit.hpp
+++ b/src/framework/circuit.hpp
@@ -51,7 +51,7 @@ class Circuit {
   uint_t shots = 1;
   uint_t seed;
   json_t header;
-  
+  double global_phase_angle = 0;
 
   // Constructor
   // The constructor automatically calculates the num_qubits, num_memory, num_registers
@@ -184,6 +184,7 @@ Circuit::Circuit(const json_t &circ, const json_t &qobj_config) : Circuit() {
   // Load metadata
   JSON::get_value(header, "header", circ);
   JSON::get_value(shots, "shots", config);
+  JSON::get_value(global_phase_angle, "global_phase", header);
 
   // Check for specified memory slots
   uint_t memory_slots = 0;
diff --git a/src/simulators/state.hpp b/src/simulators/state.hpp
index 8e1629cb10..1860549fc9 100644
--- a/src/simulators/state.hpp
+++ b/src/simulators/state.hpp
@@ -128,7 +128,7 @@ class State {
   // Load any settings for the State class from a config JSON
   virtual void set_config(const json_t &config);
 
-    //-----------------------------------------------------------------------
+  //-----------------------------------------------------------------------
   // Optional: Add information to metadata 
   //-----------------------------------------------------------------------
 
@@ -191,13 +191,16 @@ class State {
                               std::string name = "register") const;
 
   //-----------------------------------------------------------------------
-  // OpenMP thread settings
+  // Config Settings
   //-----------------------------------------------------------------------
 
   // Sets the number of threads available to the State implementation
   // If negative there is no restriction on the backend
   inline void set_parallalization(int n) {threads_ = n;}
 
+  // Set a complex global phase value exp(1j * theta) for the state
+  void set_global_phase(const double &phase);
+
 protected:
 
   // The quantum state data structure
@@ -212,6 +215,10 @@ class State {
   // Maximum threads which may be used by the backend for OpenMP multithreading
   // Default value is single-threaded unless overridden
   int threads_ = 1;
+
+  // Set a global phase exp(1j * theta) for the state
+  bool has_global_phase_ = false;
+  complex_t global_phase_ = 1;
 };
 
 
@@ -224,6 +231,17 @@ void State<state_t>::set_config(const json_t &config) {
   (ignore_argument)config;
 }
 
+template <class state_t>
+void State<state_t>::set_global_phase(const double &phase_angle) {
+  if (Linalg::almost_equal(phase_angle, 0.0)) {
+    has_global_phase_ = false;
+    global_phase_ = 1;
+  }
+  else {
+    has_global_phase_ = true;
+    global_phase_ = std::exp(complex_t(0.0, phase_angle));
+  }
+}
 
 template <class state_t>
 std::vector<reg_t> State<state_t>::sample_measure(const reg_t &qubits,
diff --git a/src/simulators/statevector/statevector_state.hpp b/src/simulators/statevector/statevector_state.hpp
index a21eca718b..53dcddae3f 100755
--- a/src/simulators/statevector/statevector_state.hpp
+++ b/src/simulators/statevector/statevector_state.hpp
@@ -275,6 +275,9 @@ class State : public Base::State<statevec_t> {
   // Config Settings
   //-----------------------------------------------------------------------
 
+  // Apply the global phase
+  void apply_global_phase();
+
   // OpenMP qubit threshold
   int omp_qubit_threshold_ = 14;
 
@@ -367,6 +370,7 @@ void State<statevec_t>::initialize_qreg(uint_t num_qubits) {
   initialize_omp();
   BaseState::qreg_.set_num_qubits(num_qubits);
   BaseState::qreg_.initialize();
+  apply_global_phase();
 }
 
 template <class statevec_t>
@@ -379,6 +383,7 @@ void State<statevec_t>::initialize_qreg(uint_t num_qubits,
   initialize_omp();
   BaseState::qreg_.set_num_qubits(num_qubits);
   BaseState::qreg_.initialize_from_data(state.data(), 1ULL << num_qubits);
+  apply_global_phase();
 }
 
 template <class statevec_t>
@@ -390,6 +395,7 @@ void State<statevec_t>::initialize_qreg(uint_t num_qubits,
   initialize_omp();
   BaseState::qreg_.set_num_qubits(num_qubits);
   BaseState::qreg_.initialize_from_vector(state);
+  apply_global_phase();
 }
 
 template <class statevec_t>
@@ -403,6 +409,13 @@ void State<statevec_t>::initialize_omp() {
 // Utility
 //-------------------------------------------------------------------------
 
+template <class statevec_t>
+void State<statevec_t>::apply_global_phase() {
+  if (BaseState::has_global_phase_) {
+    BaseState::qreg_.apply_diagonal_matrix(0, {BaseState::global_phase_, BaseState::global_phase_});
+  }
+}
+
 template <class statevec_t>
 size_t State<statevec_t>::required_memory_mb(uint_t num_qubits,
                                              const std::vector<Operations::Op> &ops)
@@ -413,6 +426,7 @@ size_t State<statevec_t>::required_memory_mb(uint_t num_qubits,
 
 template <class statevec_t>
 void State<statevec_t>::set_config(const json_t &config) {
+  BaseState::set_config(config);
 
   // Set threshold for truncating snapshots
   JSON::get_value(json_chop_threshold_, "zero_threshold", config);
diff --git a/src/simulators/unitary/unitary_state.hpp b/src/simulators/unitary/unitary_state.hpp
index e3102a4f30..b852bb3798 100755
--- a/src/simulators/unitary/unitary_state.hpp
+++ b/src/simulators/unitary/unitary_state.hpp
@@ -156,6 +156,9 @@ class State : public Base::State<unitary_matrix_t> {
   // Config Settings
   //-----------------------------------------------------------------------
 
+  // Apply the global phase
+  void apply_global_phase();
+
   // OpenMP qubit threshold
   int omp_qubit_threshold_ = 6;
 
@@ -253,6 +256,8 @@ size_t State<unitary_matrix_t>::required_memory_mb(
 
 template <class unitary_matrix_t>
 void State<unitary_matrix_t>::set_config(const json_t &config) {
+  BaseState::set_config(config);
+
   // Set OMP threshold for state update functions
   JSON::get_value(omp_qubit_threshold_, "unitary_parallel_threshold", config);
 
@@ -266,6 +271,7 @@ void State<unitary_matrix_t>::initialize_qreg(uint_t num_qubits) {
   initialize_omp();
   BaseState::qreg_.set_num_qubits(num_qubits);
   BaseState::qreg_.initialize();
+  apply_global_phase();
 }
 
 template <class unitary_matrix_t>
@@ -281,6 +287,7 @@ void State<unitary_matrix_t>::initialize_qreg(
   BaseState::qreg_.set_num_qubits(num_qubits);
   const size_t sz = 1ULL << BaseState::qreg_.size();
   BaseState::qreg_.initialize_from_data(unitary.data(), sz);
+  apply_global_phase();
 }
 
 template <class unitary_matrix_t>
@@ -295,6 +302,7 @@ void State<unitary_matrix_t>::initialize_qreg(
   initialize_omp();
   BaseState::qreg_.set_num_qubits(num_qubits);
   BaseState::qreg_.initialize_from_matrix(unitary);
+  apply_global_phase();
 }
 
 template <class unitary_matrix_t>
@@ -425,6 +433,15 @@ void State<unitary_matrix_t>::apply_snapshot(const Operations::Op &op,
   }
 }
 
+template <class unitary_matrix_t>
+void State<unitary_matrix_t>::apply_global_phase() {
+  if (BaseState::has_global_phase_) {
+    BaseState::qreg_.apply_diagonal_matrix(
+      {0}, {BaseState::global_phase_, BaseState::global_phase_}
+    );
+  }
+}
+
 //------------------------------------------------------------------------------
 }  // namespace QubitUnitary
 }  // end namespace AER
diff --git a/test/terra/backends/statevector_simulator/statevector_basics.py b/test/terra/backends/statevector_simulator/statevector_basics.py
index 7ee187488f..a275bab78e 100644
--- a/test/terra/backends/statevector_simulator/statevector_basics.py
+++ b/test/terra/backends/statevector_simulator/statevector_basics.py
@@ -13,6 +13,8 @@
 StatevectorSimulator Integration Tests
 """
 
+from numpy import exp, pi
+
 from test.terra.reference import ref_measure
 from test.terra.reference import ref_reset
 from test.terra.reference import ref_initialize
@@ -23,8 +25,7 @@
 from test.terra.reference import ref_unitary_gate
 from test.terra.reference import ref_diagonal_gate
 
-from qiskit import execute
-from qiskit.compiler import assemble
+from qiskit import execute, transpile, assemble
 from qiskit.providers.aer import StatevectorSimulator
 
 
@@ -1260,3 +1261,25 @@ def test_cu3_gate_deterministic_waltz_basis_gates(self):
         result = job.result()
         self.assertSuccess(result)
         self.compare_statevector(result, circuits, targets)
+
+    # ---------------------------------------------------------------------
+    # Test global phase
+    # ---------------------------------------------------------------------
+
+    def test_qobj_global_phase(self):
+        """Test qobj global phase."""
+
+        circuits = ref_1q_clifford.h_gate_circuits_nondeterministic(
+            final_measure=False)
+        targets = ref_1q_clifford.h_gate_statevector_nondeterministic()
+
+        qobj = assemble(transpile(circuits, self.SIMULATOR),
+                        shots=1, backend_options=self.BACKEND_OPTS)
+        # Set global phases
+        for i, _ in enumerate(circuits):
+            global_phase = (-1) ** i * (pi / 4)
+            qobj.experiments[i].header.global_phase = global_phase
+            targets[i] = exp(1j * global_phase) * targets[i]
+        result = self.SIMULATOR.run(qobj).result()
+        self.assertSuccess(result)
+        self.compare_statevector(result, circuits, targets, global_phase=True)
diff --git a/test/terra/backends/unitary_simulator/unitary_basics.py b/test/terra/backends/unitary_simulator/unitary_basics.py
index bc75553f41..d79048eaa1 100644
--- a/test/terra/backends/unitary_simulator/unitary_basics.py
+++ b/test/terra/backends/unitary_simulator/unitary_basics.py
@@ -13,15 +13,15 @@
 UnitarySimulator Integration Tests
 """
 
-import unittest
-from test.terra import common
+from numpy import exp, pi
+
 from test.terra.reference import ref_1q_clifford
 from test.terra.reference import ref_2q_clifford
 from test.terra.reference import ref_non_clifford
 from test.terra.reference import ref_unitary_gate
 from test.terra.reference import ref_diagonal_gate
 
-from qiskit import execute
+from qiskit import execute, assemble, transpile
 from qiskit.providers.aer import UnitarySimulator
 
 
@@ -588,7 +588,6 @@ def test_cz_gate_nondeterministic_minimal_basis_gates(self):
         self.assertSuccess(result)
         self.compare_unitary(result, circuits, targets)
 
-
 # ---------------------------------------------------------------------
 # Test cu1 gate
 # ---------------------------------------------------------------------
@@ -1064,39 +1063,6 @@ def test_diagonal_gate(self):
         self.assertSuccess(result)
         self.compare_unitary(result, circuits, targets)
 
-    # ---------------------------------------------------------------------
-    # Test cswap-gate (Fredkin)
-    # ---------------------------------------------------------------------
-    def test_cswap_gate_deterministic_default_basis_gates(self):
-        """Test cswap-gate circuits compiling to backend default basis_gates."""
-        circuits = ref_non_clifford.cswap_gate_circuits_deterministic(
-            final_measure=False)
-        targets = ref_non_clifford.cswap_gate_unitary_deterministic()
-        job = execute(circuits,
-                      self.SIMULATOR,
-                      shots=1,
-                      backend_options=self.BACKEND_OPTS)
-        result = job.result()
-        self.assertSuccess(result)
-        self.compare_unitary(result, circuits, targets)
-
-    # ---------------------------------------------------------------------
-    # Test cu1 gate
-    # ---------------------------------------------------------------------
-    def test_cu1_gate_nondeterministic_waltz_basis_gates(self):
-        """Test cu1-gate gate circuits compiling to u1,u2,u3,cx"""
-        circuits = ref_non_clifford.cu1_gate_circuits_nondeterministic(
-            final_measure=False)
-        targets = ref_non_clifford.cu1_gate_unitary_nondeterministic()
-        job = execute(circuits,
-                      self.SIMULATOR,
-                      shots=1,
-                      basis_gates=['u1', 'u2', 'u3', 'cx'],
-                      backend_options=self.BACKEND_OPTS)
-        result = job.result()
-        self.assertSuccess(result)
-        self.compare_unitary(result, circuits, targets)
-
     def test_cswap_gate_deterministic_minimal_basis_gates(self):
         """Test cswap-gate gate circuits compiling to u3,cx"""
         circuits = ref_non_clifford.cswap_gate_circuits_deterministic(
@@ -1111,20 +1077,6 @@ def test_cswap_gate_deterministic_minimal_basis_gates(self):
         self.assertSuccess(result)
         self.compare_unitary(result, circuits, targets)
 
-    def test_cu1_gate_nondeterministic_minimal_basis_gates(self):
-        """"Test cu1-gate gate circuits compiling to u3,cx"""
-        circuits = ref_non_clifford.cu1_gate_circuits_nondeterministic(
-            final_measure=False)
-        targets = ref_non_clifford.cu1_gate_unitary_nondeterministic()
-        job = execute(circuits,
-                      self.SIMULATOR,
-                      shots=1,
-                      basis_gates=['u3', 'cx'],
-                      backend_options=self.BACKEND_OPTS)
-        result = job.result()
-        self.assertSuccess(result)
-        self.compare_unitary(result, circuits, targets)
-
     def test_cswap_gate_deterministic_waltz_basis_gates(self):
         """Test cswap-gate gate circuits compiling to u1,u2,u3,cx"""
         circuits = ref_non_clifford.cswap_gate_circuits_deterministic(
@@ -1152,19 +1104,6 @@ def test_cswap_gate_nondeterministic_default_basis_gates(self):
         self.assertSuccess(result)
         self.compare_unitary(result, circuits, targets)
 
-    def test_cu1_gate_nondeterministic_default_basis_gates(self):
-        """Test cu1-gate gate circuits compiling to default basis"""
-        circuits = ref_non_clifford.cu1_gate_circuits_nondeterministic(
-            final_measure=False)
-        targets = ref_non_clifford.cu1_gate_unitary_nondeterministic()
-        job = execute(circuits,
-                      self.SIMULATOR,
-                      shots=1,
-                      backend_options=self.BACKEND_OPTS)
-        result = job.result()
-        self.assertSuccess(result)
-        self.compare_unitary(result, circuits, targets)
-
     def test_cswap_gate_nondeterministic_minimal_basis_gates(self):
         """Test cswap-gate gate circuits compiling to u3,cx"""
         circuits = ref_non_clifford.cswap_gate_circuits_nondeterministic(
@@ -1192,3 +1131,25 @@ def test_cswap_gate_nondeterministic_waltz_basis_gates(self):
         result = job.result()
         self.assertSuccess(result)
         self.compare_unitary(result, circuits, targets)
+
+    # ---------------------------------------------------------------------
+    # Test global phase
+    # ---------------------------------------------------------------------
+
+    def test_qobj_global_phase(self):
+        """Test qobj global phase."""
+
+        circuits = ref_1q_clifford.h_gate_circuits_nondeterministic(
+            final_measure=False)
+        targets = ref_1q_clifford.h_gate_unitary_nondeterministic()
+
+        qobj = assemble(transpile(circuits, self.SIMULATOR),
+                        shots=1, backend_options=self.BACKEND_OPTS)
+        # Set global phases
+        for i, _ in enumerate(circuits):
+            global_phase = (-1) ** i * (pi / 4)
+            qobj.experiments[i].header.global_phase = global_phase
+            targets[i] = exp(1j * global_phase) * targets[i]
+        result = self.SIMULATOR.run(qobj).result()
+        self.assertSuccess(result)
+        self.compare_unitary(result, circuits, targets, global_phase=True)