diff --git a/packages/@aws-cdk/aws-ecs-patterns/lib/base/scheduled-task-base.ts b/packages/@aws-cdk/aws-ecs-patterns/lib/base/scheduled-task-base.ts
index 315f03066fae4..f71aa1126a4f0 100644
--- a/packages/@aws-cdk/aws-ecs-patterns/lib/base/scheduled-task-base.ts
+++ b/packages/@aws-cdk/aws-ecs-patterns/lib/base/scheduled-task-base.ts
@@ -1,5 +1,5 @@
 import { Schedule } from "@aws-cdk/aws-applicationautoscaling";
-import { IVpc } from '@aws-cdk/aws-ec2';
+import { IVpc, SubnetSelection, SubnetType } from '@aws-cdk/aws-ec2';
 import { AwsLogDriver, Cluster, ContainerImage, ICluster, LogDriver, Secret, TaskDefinition } from "@aws-cdk/aws-ecs";
 import { Rule } from "@aws-cdk/aws-events";
 import { EcsTask } from "@aws-cdk/aws-events-targets";
@@ -39,6 +39,15 @@ export interface ScheduledTaskBaseProps {
    * @default 1
    */
   readonly desiredTaskCount?: number;
+
+  /**
+   * In what subnets to place the task's ENIs
+   *
+   * (Only applicable in case the TaskDefinition is configured for AwsVpc networking)
+   *
+   * @default Private subnets
+   */
+  readonly subnetSelection?: SubnetSelection;
 }
 
 export interface ScheduledTaskImageProps {
@@ -95,6 +104,15 @@ export abstract class ScheduledTaskBase extends Construct {
    */
   public readonly desiredTaskCount: number;
 
+  /**
+   * In what subnets to place the task's ENIs
+   *
+   * (Only applicable in case the TaskDefinition is configured for AwsVpc networking)
+   *
+   * @default Private subnets
+   */
+  public readonly subnetSelection: SubnetSelection;
+
   /**
    * The CloudWatch Events rule for the service.
    */
@@ -111,6 +129,7 @@ export abstract class ScheduledTaskBase extends Construct {
       throw new Error('You must specify a desiredTaskCount greater than 0');
     }
     this.desiredTaskCount = props.desiredTaskCount || 1;
+    this.subnetSelection = props.subnetSelection || { subnetType: SubnetType.PRIVATE };
 
     // An EventRule that describes the event trigger (in this case a scheduled run)
     this.eventRule = new Rule(this, 'ScheduledEventRule', {
@@ -128,7 +147,8 @@ export abstract class ScheduledTaskBase extends Construct {
     const eventRuleTarget = new EcsTask( {
       cluster: this.cluster,
       taskDefinition,
-      taskCount: this.desiredTaskCount
+      taskCount: this.desiredTaskCount,
+      subnetSelection: this.subnetSelection
     });
 
     this.eventRule.addTarget(eventRuleTarget);
diff --git a/packages/@aws-cdk/aws-ecs-patterns/test/fargate/test.scheduled-fargate-task.ts b/packages/@aws-cdk/aws-ecs-patterns/test/fargate/test.scheduled-fargate-task.ts
index 121937ab9c750..cb62d40ef7e3f 100644
--- a/packages/@aws-cdk/aws-ecs-patterns/test/fargate/test.scheduled-fargate-task.ts
+++ b/packages/@aws-cdk/aws-ecs-patterns/test/fargate/test.scheduled-fargate-task.ts
@@ -1,4 +1,4 @@
-import { expect, haveResource } from '@aws-cdk/assert';
+import { expect, haveResource, haveResourceLike } from '@aws-cdk/assert';
 import * as ec2 from '@aws-cdk/aws-ec2';
 import * as ecs from '@aws-cdk/aws-ecs';
 import * as events from '@aws-cdk/aws-events';
@@ -251,4 +251,47 @@ export = {
 
     test.done();
   },
+
+  "Scheduled Fargate Task - with subnetSelection defined"(test: Test) {
+    // GIVEN
+    const stack = new cdk.Stack();
+    const vpc = new ec2.Vpc(stack, 'Vpc', {
+      maxAzs: 1,
+      subnetConfiguration: [
+        { name: 'Public', cidrMask: 28, subnetType: ec2.SubnetType.PUBLIC }
+      ],
+    });
+    const cluster = new ecs.Cluster(stack, 'EcsCluster', { vpc });
+
+    new ScheduledFargateTask(stack, 'ScheduledFargateTask', {
+      cluster,
+      scheduledFargateTaskImageOptions: {
+        image: ecs.ContainerImage.fromRegistry('henk'),
+      },
+      subnetSelection: { subnetType: ec2.SubnetType.PUBLIC },
+      schedule: events.Schedule.expression('rate(1 minute)')
+    });
+
+    // THEN
+    expect(stack).to(haveResourceLike('AWS::Events::Rule', {
+      Targets: [
+        {
+          EcsParameters: {
+            NetworkConfiguration: {
+              AwsVpcConfiguration: {
+                AssignPublicIp: 'ENABLED',
+                Subnets: [
+                  {
+                    Ref: 'VpcPublicSubnet1Subnet5C2D37C4'
+                  }
+                ]
+              }
+            },
+          }
+        }
+      ]
+    }));
+
+    test.done();
+  },
 };