diff --git a/packages/@aws-cdk/triggers/test/integ.triggers.js.snapshot/MyStack.template.json b/packages/@aws-cdk/triggers/test/integ.triggers.js.snapshot/MyStack.template.json
index 093720853cf8c..4923d463c8cca 100644
--- a/packages/@aws-cdk/triggers/test/integ.triggers.js.snapshot/MyStack.template.json
+++ b/packages/@aws-cdk/triggers/test/integ.triggers.js.snapshot/MyStack.template.json
@@ -69,7 +69,7 @@
      ]
     },
     "HandlerArn": {
-      "Ref": "MyTriggerFunctionCurrentVersion61957CE160cd5b4c06c4d00191dc10a647ea0777"
+     "Ref": "MyTriggerFunctionCurrentVersion61957CE160cd5b4c06c4d00191dc10a647ea0777"
     },
     "InvocationType": "RequestResponse",
     "Timeout": {
@@ -87,7 +87,7 @@
    "UpdateReplacePolicy": "Delete",
    "DeletionPolicy": "Delete"
   },
-   "MyTriggerFunctionCurrentVersion61957CE160cd5b4c06c4d00191dc10a647ea0777": {
+  "MyTriggerFunctionCurrentVersion61957CE160cd5b4c06c4d00191dc10a647ea0777": {
    "Type": "AWS::Lambda::Version",
    "Properties": {
     "FunctionName": {
@@ -143,6 +143,28 @@
           }
          ]
         },
+        {
+         "Effect": "Allow",
+         "Action": [
+          "lambda:InvokeFunction"
+         ],
+         "Resource": [
+          {
+           "Fn::Join": [
+            "",
+            [
+             {
+              "Fn::GetAtt": [
+               "MyLambdaFunction67CCA873",
+               "Arn"
+              ]
+             },
+             ":*"
+            ]
+           ]
+          }
+         ]
+        },
         {
          "Effect": "Allow",
          "Action": [
@@ -195,7 +217,7 @@
     "AWSCDKTriggerCustomResourceProviderCustomResourceProviderRoleE18FAF0A"
    ]
   },
-  "MySecondFunctionServiceRole5B930841": {
+  "MyLambdaFunctionServiceRole313A4D46": {
    "Type": "AWS::IAM::Role",
    "Properties": {
     "AssumeRolePolicyDocument": {
@@ -226,26 +248,35 @@
     ]
    }
   },
-  "MySecondFunction0F0B51EB": {
+  "MyLambdaFunction67CCA873": {
    "Type": "AWS::Lambda::Function",
    "Properties": {
     "Code": {
-     "ZipFile": "exports.handler = function() { console.log(\"hello\"); };"
+     "ZipFile": "exports.handler = function() { await setTimeout(3*60*1000, \"hi\"); };"
     },
     "Role": {
      "Fn::GetAtt": [
-      "MySecondFunctionServiceRole5B930841",
+      "MyLambdaFunctionServiceRole313A4D46",
       "Arn"
      ]
     },
     "Handler": "index.handler",
-    "Runtime": "nodejs16.x"
+    "Runtime": "nodejs16.x",
+    "Timeout": 900
    },
    "DependsOn": [
-    "MySecondFunctionServiceRole5B930841"
+    "MyLambdaFunctionServiceRole313A4D46"
    ]
   },
-  "MySecondFunctionTrigger8C61EC28": {
+  "MyLambdaFunctionCurrentVersion4FAB80ECdc4d4e257bb2b44c9c4b9231f0d16f4c": {
+   "Type": "AWS::Lambda::Version",
+   "Properties": {
+    "FunctionName": {
+     "Ref": "MyLambdaFunction67CCA873"
+    }
+   }
+  },
+  "MyTrigger": {
    "Type": "Custom::Trigger",
    "Properties": {
     "ServiceToken": {
@@ -255,21 +286,19 @@
      ]
     },
     "HandlerArn": {
-     "Ref": "MySecondFunctionCurrentVersion7D497B5D173a4bb1f758991022ea97d651403362"
-    }
+     "Ref": "MyLambdaFunctionCurrentVersion4FAB80ECdc4d4e257bb2b44c9c4b9231f0d16f4c"
+    },
+    "InvocationType": "Event",
+    "Timeout": 60000
    },
+   "DependsOn": [
+    "Topic198E71B3E",
+    "Topic269377B75"
+   ],
    "UpdateReplacePolicy": "Delete",
    "DeletionPolicy": "Delete"
   },
-  "MySecondFunctionCurrentVersion7D497B5D173a4bb1f758991022ea97d651403362": {
-   "Type": "AWS::Lambda::Version",
-   "Properties": {
-    "FunctionName": {
-     "Ref": "MySecondFunction0F0B51EB"
-    }
-   }
-  },
-  "MyLambdaFunctionServiceRole313A4D46": {
+  "MySecondFunctionServiceRole5B930841": {
    "Type": "AWS::IAM::Role",
    "Properties": {
     "AssumeRolePolicyDocument": {
@@ -300,35 +329,26 @@
     ]
    }
   },
-  "MyLambdaFunction67CCA873": {
+  "MySecondFunction0F0B51EB": {
    "Type": "AWS::Lambda::Function",
    "Properties": {
     "Code": {
-      "ZipFile": "exports.handler = function() { await setTimeout(3*60*1000, \"hi\"); };"
+     "ZipFile": "exports.handler = function() { console.log(\"hello\"); };"
     },
     "Role": {
      "Fn::GetAtt": [
-      "MyLambdaFunctionServiceRole313A4D46",
+      "MySecondFunctionServiceRole5B930841",
       "Arn"
      ]
     },
     "Handler": "index.handler",
-    "Runtime": "nodejs16.x",
-     "Timeout": 900
+    "Runtime": "nodejs16.x"
    },
    "DependsOn": [
-    "MyLambdaFunctionServiceRole313A4D46"
+    "MySecondFunctionServiceRole5B930841"
    ]
   },
-   "MyLambdaFunctionCurrentVersion4FAB80ECdc4d4e257bb2b44c9c4b9231f0d16f4c": {
-   "Type": "AWS::Lambda::Version",
-   "Properties": {
-    "FunctionName": {
-     "Ref": "MyLambdaFunction67CCA873"
-    }
-   }
-  },
-  "MyTrigger": {
+  "MySecondFunctionTrigger8C61EC28": {
    "Type": "Custom::Trigger",
    "Properties": {
     "ServiceToken": {
@@ -338,17 +358,28 @@
      ]
     },
     "HandlerArn": {
-      "Ref": "MyLambdaFunctionCurrentVersion4FAB80ECdc4d4e257bb2b44c9c4b9231f0d16f4c"
+     "Ref": "MySecondFunctionCurrentVersion7D497B5D173a4bb1f758991022ea97d651403362"
     },
-    "InvocationType": "Event",
-    "Timeout": 60000
+    "InvocationType": "RequestResponse",
+    "Timeout": {
+     "amount": 2,
+     "unit": {
+      "label": "minutes",
+      "isoLabel": "M",
+      "inMillis": 60000
+     }
+    }
    },
-   "DependsOn": [
-    "Topic198E71B3E",
-    "Topic269377B75"
-   ],
    "UpdateReplacePolicy": "Delete",
    "DeletionPolicy": "Delete"
+  },
+  "MySecondFunctionCurrentVersion7D497B5D173a4bb1f758991022ea97d651403362": {
+   "Type": "AWS::Lambda::Version",
+   "Properties": {
+    "FunctionName": {
+     "Ref": "MySecondFunction0F0B51EB"
+    }
+   }
   }
  },
  "Parameters": {
diff --git a/packages/@aws-cdk/triggers/test/trigger-handler.test.ts b/packages/@aws-cdk/triggers/test/trigger-handler.test.ts
index bbfe4f2062748..09a4d77a657b5 100644
--- a/packages/@aws-cdk/triggers/test/trigger-handler.test.ts
+++ b/packages/@aws-cdk/triggers/test/trigger-handler.test.ts
@@ -41,14 +41,14 @@ test('Create', async () => {
   await lambda.handler({ RequestType: 'Create', ...mockRequest });
 
   expect(invokeMock).toBeCalledTimes(1);
-  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn });
+  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn, InvocationType: 'Event' });
 });
 
 test('Update', async () => {
   await lambda.handler({ RequestType: 'Update', PhysicalResourceId: 'PRID', OldResourceProperties: {}, ...mockRequest });
 
   expect(invokeMock).toBeCalledTimes(1);
-  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn });
+  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn, InvocationType: 'Event' });
 });
 
 test('Delete - handler not called', async () => {
@@ -66,7 +66,7 @@ test('non-200 status code throws an error', async () => {
     .toMatchObject({ message: 'Trigger handler failed with status code 500' });
 
   expect(invokeMock).toBeCalledTimes(1);
-  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn });
+  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn, InvocationType: 'Event' });
 });
 
 test('retry with access denied exception', async () => {
@@ -83,7 +83,7 @@ test('retry with access denied exception', async () => {
   await response;
 
   expect(invokeMock).toBeCalledTimes(2);
-  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn });
+  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn, InvocationType: 'Event' });
 });
 
 test('throws an error for other exceptions', async () => {
@@ -96,7 +96,7 @@ test('throws an error for other exceptions', async () => {
     .toThrow();
 
   expect(invokeMock).toBeCalledTimes(1);
-  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn });
+  expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn, InvocationType: 'Event' });
 });
 
 describe('function error', () => {
@@ -113,7 +113,7 @@ describe('function error', () => {
         .toMatchObject({ message: expectedError });
 
       expect(invokeMock).toBeCalledTimes(1);
-      expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn });
+      expect(invokeMock).toBeCalledWith({ FunctionName: handlerArn, InvocationType: 'Event' });
     };
   };