diff --git a/monasca_tempest_tests/tests/api/test_alarm_transitions.py b/monasca_tempest_tests/tests/api/test_alarm_transitions.py
index 7be5aaf..7aa54c8 100644
--- a/monasca_tempest_tests/tests/api/test_alarm_transitions.py
+++ b/monasca_tempest_tests/tests/api/test_alarm_transitions.py
@@ -81,7 +81,7 @@ class TestAlarmTransitions(base.BaseMonascaTest):
                            .create_alarm_definitions(definition))
         self.assertEqual(201, resp.status)
         definition_id = resp_body['id']
-        time.sleep(1)
+        time.sleep(constants.ALARM_DEFINITION_CREATION_WAIT)
 
         self._send_measurement(metric_def, 1)
 
@@ -108,7 +108,7 @@ class TestAlarmTransitions(base.BaseMonascaTest):
         resp, resp_body = self.monasca_client.create_alarm_definitions(definition)
         self.assertEqual(201, resp.status)
         definition_id = resp_body['id']
-        time.sleep(1)
+        time.sleep(constants.ALARM_DEFINITION_CREATION_WAIT)
 
         self._send_measurement(metric_def, 1)
 
@@ -167,7 +167,7 @@ class TestAlarmTransitions(base.BaseMonascaTest):
         resp, resp_body = self.monasca_client.create_alarm_definitions(definition)
         self.assertEqual(201, resp.status)
         definition_id = resp_body['id']
-        time.sleep(1)
+        time.sleep(constants.ALARM_DEFINITION_CREATION_WAIT)
 
         self._send_measurement(metric_def, 1)
 
diff --git a/monasca_tempest_tests/tests/api/test_alarms_state_history_one_transition.py b/monasca_tempest_tests/tests/api/test_alarms_state_history_one_transition.py
index 33fb3b6..98c8fa8 100644
--- a/monasca_tempest_tests/tests/api/test_alarms_state_history_one_transition.py
+++ b/monasca_tempest_tests/tests/api/test_alarms_state_history_one_transition.py
@@ -38,6 +38,8 @@ class TestAlarmsStateHistoryOneTransition(base.BaseMonascaTest):
                 name=data_utils.rand_name('alarm_state_history' + str(i + 1)),
                 expression="min(name-" + str(i + 1) + ") < " + str(i + 1))
             cls.monasca_client.create_alarm_definitions(alarm_definition)
+        # Ensure the new Alarm Definitions get to the Threshold Engine
+        time.sleep(constants.ALARM_DEFINITION_CREATION_WAIT)
 
         num_transitions = 0
         for timer in range(constants.MAX_RETRIES):