diff --git a/packages/@aws-cdk/aws-stepfunctions-tasks/lib/invoke-function.ts b/packages/@aws-cdk/aws-stepfunctions-tasks/lib/invoke-function.ts
index a57d0e1580409..f7e173dd344e9 100644
--- a/packages/@aws-cdk/aws-stepfunctions-tasks/lib/invoke-function.ts
+++ b/packages/@aws-cdk/aws-stepfunctions-tasks/lib/invoke-function.ts
@@ -2,6 +2,23 @@ import iam = require('@aws-cdk/aws-iam');
 import lambda = require('@aws-cdk/aws-lambda');
 import sfn = require('@aws-cdk/aws-stepfunctions');
 
+/**
+ * Properties for InvokeFunction
+ */
+export interface InvokeFunctionProps {
+  /**
+   * The JSON that you want to provide to your Lambda function as input.
+   */
+  readonly payload?: { [key: string]: string };
+
+  /**
+   * Whether to pause the workflow until a task token is returned
+   *
+   * @default false
+   */
+  readonly waitForTaskToken?: boolean;
+}
+
 /**
  * A StepFunctions Task to invoke a Lambda function.
  *
@@ -9,12 +26,18 @@ import sfn = require('@aws-cdk/aws-stepfunctions');
  * integration with other AWS services via a specific class instance.
  */
 export class InvokeFunction implements sfn.IStepFunctionsTask {
-  constructor(private readonly lambdaFunction: lambda.IFunction) {
+
+  private readonly waitForTaskToken: boolean;
+
+  constructor(private readonly lambdaFunction: lambda.IFunction, private readonly props: InvokeFunctionProps) {
+    this.waitForTaskToken = props.waitForTaskToken === true;
   }
 
   public bind(_task: sfn.Task): sfn.StepFunctionsTaskProperties {
     return {
-      resourceArn: this.lambdaFunction.functionArn,
+      resourceArn: this.waitForTaskToken
+        ? 'arn:aws:states:::lambda:invoke.waitForTaskToken'
+        : this.lambdaFunction.functionArn,
       policyStatements: [new iam.PolicyStatement()
         .addResource(this.lambdaFunction.functionArn)
         .addActions("lambda:InvokeFunction")
@@ -22,6 +45,10 @@ export class InvokeFunction implements sfn.IStepFunctionsTask {
       metricPrefixSingular: 'LambdaFunction',
       metricPrefixPlural: 'LambdaFunctions',
       metricDimensions: { LambdaFunctionArn: this.lambdaFunction.functionArn },
+      parameters: {
+        FunctionName: this.lambdaFunction.functionName,
+        ...this.props.payload && { Payload: this.props.payload },
+      }
     };
   }
 }
\ No newline at end of file
diff --git a/packages/@aws-cdk/aws-stepfunctions-tasks/lib/publish-to-topic.ts b/packages/@aws-cdk/aws-stepfunctions-tasks/lib/publish-to-topic.ts
index 6bcda1589857f..ec2fd3ef36e75 100644
--- a/packages/@aws-cdk/aws-stepfunctions-tasks/lib/publish-to-topic.ts
+++ b/packages/@aws-cdk/aws-stepfunctions-tasks/lib/publish-to-topic.ts
@@ -38,6 +38,13 @@ export interface PublishToTopicProps {
    * Message subject
    */
   readonly subject?: string;
+
+  /**
+   * Whether to pause the workflow until a task token is returned
+   *
+   * @default false
+   */
+  readonly waitForTaskToken?: boolean;
 }
 
 /**
@@ -47,7 +54,12 @@ export interface PublishToTopicProps {
  * integration with other AWS services via a specific class instance.
  */
 export class PublishToTopic implements sfn.IStepFunctionsTask {
+
+  private readonly waitForTaskToken: boolean;
+
   constructor(private readonly topic: sns.ITopic, private readonly props: PublishToTopicProps) {
+    this.waitForTaskToken = props.waitForTaskToken === true;
+
     if ((props.message === undefined) === (props.messageObject === undefined)) {
       throw new Error(`Supply exactly one of 'message' or 'messageObject'`);
     }
@@ -55,7 +67,7 @@ export class PublishToTopic implements sfn.IStepFunctionsTask {
 
   public bind(task: sfn.Task): sfn.StepFunctionsTaskProperties {
     return {
-      resourceArn: 'arn:aws:states:::sns:publish',
+      resourceArn: 'arn:aws:states:::sns:publish' + (this.waitForTaskToken ? '.waitForTaskToken' : ''),
       policyStatements: [new iam.PolicyStatement()
         .addAction('sns:Publish')
         .addResource(this.topic.topicArn)
@@ -63,8 +75,8 @@ export class PublishToTopic implements sfn.IStepFunctionsTask {
       parameters: {
         TopicArn: this.topic.topicArn,
         ...(this.props.messageObject
-            ? { Message: new cdk.Token(() => task.node.stringifyJson(this.props.messageObject)) }
-            : renderString('Message', this.props.message)),
+          ? { Message: new cdk.Token(() => task.node.stringifyJson(this.props.messageObject)) }
+          : renderString('Message', this.props.message)),
         MessageStructure: this.props.messagePerSubscriptionType ? "json" : undefined,
         ...renderString('Subject', this.props.subject),
       }
diff --git a/packages/@aws-cdk/aws-stepfunctions-tasks/lib/send-to-queue.ts b/packages/@aws-cdk/aws-stepfunctions-tasks/lib/send-to-queue.ts
index 820af3e1e83cf..22237069465c2 100644
--- a/packages/@aws-cdk/aws-stepfunctions-tasks/lib/send-to-queue.ts
+++ b/packages/@aws-cdk/aws-stepfunctions-tasks/lib/send-to-queue.ts
@@ -38,6 +38,13 @@ export interface SendToQueueProps {
    * @default No group ID
    */
   readonly messageGroupId?: string;
+
+  /**
+   * Whether to pause the workflow until a task token is returned
+   *
+   * @default false
+   */
+  readonly waitForTaskToken?: boolean;
 }
 
 /**
@@ -47,12 +54,16 @@ export interface SendToQueueProps {
  * integration with other AWS services via a specific class instance.
  */
 export class SendToQueue implements sfn.IStepFunctionsTask {
+
+  private readonly waitForTaskToken: boolean;
+
   constructor(private readonly queue: sqs.IQueue, private readonly props: SendToQueueProps) {
+    this.waitForTaskToken = props.waitForTaskToken === true;
   }
 
   public bind(_task: sfn.Task): sfn.StepFunctionsTaskProperties {
     return {
-      resourceArn: 'arn:aws:states:::sqs:sendMessage',
+      resourceArn: 'arn:aws:states:::sqs:sendMessage' + (this.waitForTaskToken ? '.waitForTaskToken' : ''),
       policyStatements: [new iam.PolicyStatement()
         .addAction('sqs:SendMessage')
         .addResource(this.queue.queueArn)
diff --git a/packages/@aws-cdk/aws-stepfunctions-tasks/test/invoke-function.test.ts b/packages/@aws-cdk/aws-stepfunctions-tasks/test/invoke-function.test.ts
index e0fab6553ac17..1d506caed19a2 100644
--- a/packages/@aws-cdk/aws-stepfunctions-tasks/test/invoke-function.test.ts
+++ b/packages/@aws-cdk/aws-stepfunctions-tasks/test/invoke-function.test.ts
@@ -14,7 +14,9 @@ test('Lambda function can be used in a Task', () => {
     handler: 'index.hello',
     runtime: lambda.Runtime.Python27,
   });
-  const task = new sfn.Task(stack, 'Task', { task: new tasks.InvokeFunction(fn) });
+  const task = new sfn.Task(stack, 'Task', {
+    task: new tasks.InvokeFunction(fn, { waitForTaskToken: false })
+  });
   new sfn.StateMachine(stack, 'SM', {
     definition: task
   });
@@ -22,11 +24,23 @@ test('Lambda function can be used in a Task', () => {
   // THEN
   expect(stack).toHaveResource('AWS::StepFunctions::StateMachine', {
     DefinitionString: {
-      "Fn::Join": ["", [
-        "{\"StartAt\":\"Task\",\"States\":{\"Task\":{\"End\":true,\"Type\":\"Task\",\"Resource\":\"",
-        { "Fn::GetAtt": ["Fn9270CBC0", "Arn"] },
-        "\"}}}"
-      ]]
+      "Fn::Join": [
+        "",
+        [
+          "{\"StartAt\":\"Task\",\"States\":{\"Task\":{\"End\":true,\"Parameters\":{\"FunctionName\":\"",
+          {
+            Ref: "Fn9270CBC0"
+          },
+          "\"},\"Type\":\"Task\",\"Resource\":\"",
+          {
+            "Fn::GetAtt": [
+              "Fn9270CBC0",
+              "Arn"
+            ]
+          },
+          "\"}}}"
+        ]
+      ]
     },
   });
 });
\ No newline at end of file