diff --git a/packages/@aws-cdk/aws-s3-deployment/README.md b/packages/@aws-cdk/aws-s3-deployment/README.md
index 8ed58d3bf10c2..12e260934e33b 100644
--- a/packages/@aws-cdk/aws-s3-deployment/README.md
+++ b/packages/@aws-cdk/aws-s3-deployment/README.md
@@ -91,6 +91,15 @@ new s3deploy.BucketDeployment(this, 'DeployWithInvalidation', {
 });
 ```
 
+## Memory Limit
+
+The default memory limit for the deployment resource is 128MiB. If you need to
+copy larger files, you can use the `memoryLimit` configuration to specify the
+size of the AWS Lambda resource handler.
+
+> NOTE: a new AWS Lambda handler will be created in your stack for each memory
+> limit configuration.
+
 ## Notes
 
  * This library uses an AWS CloudFormation custom resource which about 10MiB in
diff --git a/packages/@aws-cdk/aws-s3-deployment/lib/bucket-deployment.ts b/packages/@aws-cdk/aws-s3-deployment/lib/bucket-deployment.ts
index 819a54534ac94..844677e2e1202 100644
--- a/packages/@aws-cdk/aws-s3-deployment/lib/bucket-deployment.ts
+++ b/packages/@aws-cdk/aws-s3-deployment/lib/bucket-deployment.ts
@@ -4,8 +4,9 @@ import iam = require('@aws-cdk/aws-iam');
 import lambda = require('@aws-cdk/aws-lambda');
 import s3 = require('@aws-cdk/aws-s3');
 import cdk = require('@aws-cdk/core');
+import { Token } from '@aws-cdk/core';
 import path = require('path');
-import {ISource, SourceConfig} from './source';
+import { ISource, SourceConfig } from './source';
 
 const handlerCodeBundle = path.join(__dirname, '..', 'lambda', 'bundle.zip');
 
@@ -55,6 +56,17 @@ export interface BucketDeploymentProps {
    * @default - All files under the destination bucket key prefix will be invalidated.
    */
   readonly distributionPaths?: string[];
+
+  /**
+   * The amount of memory (in MiB) to allocate to the AWS Lambda function which
+   * replicates the files from the CDK bucket to the destination bucket.
+   *
+   * If you are deploying large files, you will need to increase this number
+   * accordingly.
+   *
+   * @default 128
+   */
+  readonly memoryLimit?: number;
 }
 
 export class BucketDeployment extends cdk.Construct {
@@ -66,12 +78,13 @@ export class BucketDeployment extends cdk.Construct {
     }
 
     const handler = new lambda.SingletonFunction(this, 'CustomResourceHandler', {
-      uuid: '8693BB64-9689-44B6-9AAF-B0CC9EB8756C',
+      uuid: this.renderSingletonUuid(props.memoryLimit),
       code: lambda.Code.fromAsset(handlerCodeBundle),
       runtime: lambda.Runtime.PYTHON_3_6,
       handler: 'index.handler',
       lambdaPurpose: 'Custom::CDKBucketDeployment',
-      timeout: cdk.Duration.minutes(15)
+      timeout: cdk.Duration.minutes(15),
+      memorySize: props.memoryLimit
     });
 
     const sources: SourceConfig[] = props.sources.map((source: ISource) => source.bind(this));
@@ -100,4 +113,21 @@ export class BucketDeployment extends cdk.Construct {
       }
     });
   }
+
+  private renderSingletonUuid(memoryLimit?: number) {
+    let uuid = '8693BB64-9689-44B6-9AAF-B0CC9EB8756C';
+
+    // if user specify a custom memory limit, define another singleton handler
+    // with this configuration. otherwise, it won't be possible to use multiple
+    // configurations since we have a singleton.
+    if (memoryLimit) {
+      if (Token.isUnresolved(memoryLimit)) {
+        throw new Error(`Can't use tokens when specifying "memoryLimit" since we use it to identify the singleton custom resource handler`);
+      }
+
+      uuid += `-${memoryLimit.toString()}MiB`;
+    }
+
+    return uuid;
+  }
 }
diff --git a/packages/@aws-cdk/aws-s3-deployment/test/test.bucket-deployment.ts b/packages/@aws-cdk/aws-s3-deployment/test/test.bucket-deployment.ts
index 79667c015da77..a8b611abd5aee 100644
--- a/packages/@aws-cdk/aws-s3-deployment/test/test.bucket-deployment.ts
+++ b/packages/@aws-cdk/aws-s3-deployment/test/test.bucket-deployment.ts
@@ -1,4 +1,4 @@
-import { expect, haveResource } from '@aws-cdk/assert';
+import { countResources, expect, haveResource } from '@aws-cdk/assert';
 import cloudfront = require('@aws-cdk/aws-cloudfront');
 import s3 = require('@aws-cdk/aws-s3');
 import cdk = require('@aws-cdk/core');
@@ -394,4 +394,41 @@ export = {
     }));
     test.done();
   },
+
+  'memoryLimit can be used to specify the memory limit for the deployment resource handler'(test: Test) {
+    // GIVEN
+    const stack = new cdk.Stack();
+    const bucket = new s3.Bucket(stack, 'Dest');
+
+    // WHEN
+
+    // we define 3 deployments with 2 different memory configurations
+
+    new s3deploy.BucketDeployment(stack, 'Deploy256-1', {
+      sources: [s3deploy.Source.asset(path.join(__dirname, 'my-website'))],
+      destinationBucket: bucket,
+      memoryLimit: 256
+    });
+
+    new s3deploy.BucketDeployment(stack, 'Deploy256-2', {
+      sources: [s3deploy.Source.asset(path.join(__dirname, 'my-website'))],
+      destinationBucket: bucket,
+      memoryLimit: 256
+    });
+
+    new s3deploy.BucketDeployment(stack, 'Deploy1024', {
+      sources: [s3deploy.Source.asset(path.join(__dirname, 'my-website'))],
+      destinationBucket: bucket,
+      memoryLimit: 1024
+    });
+
+    // THEN
+
+    // we expect to find only two handlers, one for each configuration
+
+    expect(stack).to(countResources('AWS::Lambda::Function', 2));
+    expect(stack).to(haveResource('AWS::Lambda::Function', { MemorySize: 256  }));
+    expect(stack).to(haveResource('AWS::Lambda::Function', { MemorySize: 1024 }));
+    test.done();
+  }
 };