diff --git a/src/cfnlint/rules/resources/events/RuleScheduleExpression.py b/src/cfnlint/rules/resources/events/RuleScheduleExpression.py
index 22661514b5..7dea651476 100644
--- a/src/cfnlint/rules/resources/events/RuleScheduleExpression.py
+++ b/src/cfnlint/rules/resources/events/RuleScheduleExpression.py
@@ -37,7 +37,8 @@ def check_rate(self, value, path):
                 # Check the Value
                 if not items[0].isdigit():
                     message = 'Rate Value ({}) should be of type Integer.'
-                    extra_args = {'actual_type': type(items[0]).__name__, 'expected_type': int.__name__}
+                    extra_args = {'actual_type': type(
+                        items[0]).__name__, 'expected_type': int.__name__}
                     matches.append(RuleMatch(path, message.format(items[0]), **extra_args))
 
         return matches
@@ -57,6 +58,12 @@ def check_cron(self, value, path):
             if len(items) != 6:
                 message = 'Cron expression must contain 6 elements (Minutes Hours Day-of-month Month Day-of-week Year), cron contains {} elements'
                 matches.append(RuleMatch(path, message.format(len(items))))
+                return matches
+
+            _, _, day_of_month, _, day_of_week, _ = cron_expression.split(' ')
+            if day_of_month != '?' and day_of_week != '?':
+                matches.append(RuleMatch(
+                    path, 'Don\'t specify the Day-of-month and Day-of-week fields in the same cron expression'))
 
         return matches
 
diff --git a/test/fixtures/templates/bad/resources/events/rule_schedule_expression.yaml b/test/fixtures/templates/bad/resources/events/rule_schedule_expression.yaml
index b99a839ab1..13d2d2fb08 100644
--- a/test/fixtures/templates/bad/resources/events/rule_schedule_expression.yaml
+++ b/test/fixtures/templates/bad/resources/events/rule_schedule_expression.yaml
@@ -29,3 +29,7 @@ Resources:
     Type: AWS::Events::Rule
     Properties:
       ScheduleExpression: "cron(0 */1 * * WED)" # Not enough values
+  MyScheduledRule8:
+    Type: AWS::Events::Rule
+    Properties:
+      ScheduleExpression: "cron(* 1 * * * *)" # specify the Day-of-month and Day-of-week fields in the same cron expression
diff --git a/test/unit/rules/resources/events/test_rule_schedule_expression.py b/test/unit/rules/resources/events/test_rule_schedule_expression.py
index 35b88ddf2e..9954bcd8ee 100644
--- a/test/unit/rules/resources/events/test_rule_schedule_expression.py
+++ b/test/unit/rules/resources/events/test_rule_schedule_expression.py
@@ -24,4 +24,4 @@ def test_file_positive(self):
     def test_file_negative_alias(self):
         """Test failure"""
         self.helper_file_negative(
-            'test/fixtures/templates/bad/resources/events/rule_schedule_expression.yaml', 7)
+            'test/fixtures/templates/bad/resources/events/rule_schedule_expression.yaml', 8)