diff --git a/packages/@aws-cdk/aws-cloudfront/README.md b/packages/@aws-cdk/aws-cloudfront/README.md
index 44bfe03e680eb..f71cf9f971391 100644
--- a/packages/@aws-cdk/aws-cloudfront/README.md
+++ b/packages/@aws-cdk/aws-cloudfront/README.md
@@ -133,12 +133,11 @@ const myWebDistribution = new cloudfront.Distribution(this, 'myDist', {
 
 Additional behaviors can be specified at creation, or added after the initial creation. Each additional behavior is associated with an origin,
 and enable customization for a specific set of resources based on a URL path pattern. For example, we can add a behavior to `myWebDistribution` to
-override the default time-to-live (TTL) for all of the images.
+override the default viewer protocol policy for all of the images.
 
 ```ts
 myWebDistribution.addBehavior('/images/*.jpg', new origins.S3Origin(myBucket), {
   viewerProtocolPolicy: ViewerProtocolPolicy.REDIRECT_TO_HTTPS,
-  defaultTtl: cdk.Duration.days(7),
 });
 ```
 
@@ -156,7 +155,6 @@ new cloudfront.Distribution(this, 'myDist', {
     '/images/*.jpg': {
       origin: bucketOrigin,
       viewerProtocolPolicy: ViewerProtocolPolicy.REDIRECT_TO_HTTPS,
-      defaultTtl: cdk.Duration.days(7),
     },
   },
 });
diff --git a/packages/@aws-cdk/aws-cloudfront/lib/distribution.ts b/packages/@aws-cdk/aws-cloudfront/lib/distribution.ts
index 157f0c7535229..81cb0e7470ec4 100644
--- a/packages/@aws-cdk/aws-cloudfront/lib/distribution.ts
+++ b/packages/@aws-cdk/aws-cloudfront/lib/distribution.ts
@@ -376,6 +376,21 @@ export class AllowedMethods {
   private constructor(methods: string[]) { this.methods = methods; }
 }
 
+/**
+ * The HTTP methods that the Behavior will cache requests on.
+ */
+export class CachedMethods {
+  /** HEAD and GET */
+  public static readonly CACHE_GET_HEAD = new CachedMethods(['GET', 'HEAD']);
+  /** HEAD, GET, and OPTIONS */
+  public static readonly CACHE_GET_HEAD_OPTIONS = new CachedMethods(['GET', 'HEAD', 'OPTIONS']);
+
+  /** HTTP methods supported */
+  public readonly methods: string[];
+
+  private constructor(methods: string[]) { this.methods = methods; }
+}
+
 /**
  * Options for configuring custom error responses.
  *
@@ -461,10 +476,26 @@ export interface AddBehaviorOptions {
   /**
    * HTTP methods to allow for this behavior.
    *
-   * @default - GET and HEAD
+   * @default AllowedMethods.ALLOW_GET_HEAD
    */
   readonly allowedMethods?: AllowedMethods;
 
+  /**
+   * HTTP methods to cache for this behavior.
+   *
+   * @default CachedMethods.CACHE_GET_HEAD
+   */
+  readonly cachedMethods?: CachedMethods;
+
+  /**
+   * Whether you want CloudFront to automatically compress certain files for this cache behavior.
+   * See https://docs.aws.amazon.com/AmazonCloudFront/latest/DeveloperGuide/ServingCompressedFiles.html#compressed-content-cloudfront-file-types
+   * for file types CloudFront will compress.
+   *
+   * @default false
+   */
+  readonly compress?: boolean;
+
   /**
    * Whether CloudFront will forward query strings to the origin.
    * If this is set to true, CloudFront will forward all query parameters to the origin, and cache
@@ -482,6 +513,20 @@ export interface AddBehaviorOptions {
    */
   readonly forwardQueryStringCacheKeys?: string[];
 
+  /**
+   * Set this to true to indicate you want to distribute media files in the Microsoft Smooth Streaming format using this behavior.
+   *
+   * @default false
+   */
+  readonly smoothStreaming?: boolean;
+
+  /**
+   * The protocol that viewers can use to access the files controlled by this behavior.
+   *
+   * @default ViewerProtocolPolicy.ALLOW_ALL
+   */
+  readonly viewerProtocolPolicy?: ViewerProtocolPolicy;
+
   /**
    * The Lambda@Edge functions to invoke before serving the contents.
    *
diff --git a/packages/@aws-cdk/aws-cloudfront/lib/private/cache-behavior.ts b/packages/@aws-cdk/aws-cloudfront/lib/private/cache-behavior.ts
index 2e44abcfc05c0..6461d0fd54b0a 100644
--- a/packages/@aws-cdk/aws-cloudfront/lib/private/cache-behavior.ts
+++ b/packages/@aws-cdk/aws-cloudfront/lib/private/cache-behavior.ts
@@ -38,12 +38,15 @@ export class CacheBehavior {
     return {
       pathPattern: this.props.pathPattern,
       targetOriginId: this.originId,
-      allowedMethods: this.props.allowedMethods?.methods ?? undefined,
+      allowedMethods: this.props.allowedMethods?.methods,
+      cachedMethods: this.props.cachedMethods?.methods,
+      compress: this.props.compress,
       forwardedValues: {
         queryString: this.props.forwardQueryString ?? false,
         queryStringCacheKeys: this.props.forwardQueryStringCacheKeys,
       },
-      viewerProtocolPolicy: ViewerProtocolPolicy.ALLOW_ALL,
+      smoothStreaming: this.props.smoothStreaming,
+      viewerProtocolPolicy: this.props.viewerProtocolPolicy ?? ViewerProtocolPolicy.ALLOW_ALL,
       lambdaFunctionAssociations: this.props.edgeLambdas
         ? this.props.edgeLambdas.map(edgeLambda => {
           if (edgeLambda.functionVersion.version === '$LATEST') {
diff --git a/packages/@aws-cdk/aws-cloudfront/test/private/cache-behavior.test.ts b/packages/@aws-cdk/aws-cloudfront/test/private/cache-behavior.test.ts
index 4477a411cf790..2570e889d8587 100644
--- a/packages/@aws-cdk/aws-cloudfront/test/private/cache-behavior.test.ts
+++ b/packages/@aws-cdk/aws-cloudfront/test/private/cache-behavior.test.ts
@@ -1,6 +1,6 @@
 import '@aws-cdk/assert/jest';
 import { App, Stack } from '@aws-cdk/core';
-import { AllowedMethods } from '../../lib';
+import { AllowedMethods, CachedMethods, ViewerProtocolPolicy } from '../../lib';
 import { CacheBehavior } from '../../lib/private/cache-behavior';
 
 let app: App;
@@ -29,18 +29,25 @@ test('renders with all properties specified', () => {
   const behavior = new CacheBehavior('origin_id', {
     pathPattern: '*',
     allowedMethods: AllowedMethods.ALLOW_ALL,
+    cachedMethods: CachedMethods.CACHE_GET_HEAD_OPTIONS,
+    compress: true,
     forwardQueryString: true,
     forwardQueryStringCacheKeys: ['user_id', 'auth'],
+    smoothStreaming: true,
+    viewerProtocolPolicy: ViewerProtocolPolicy.HTTPS_ONLY,
   });
 
   expect(behavior._renderBehavior()).toEqual({
     targetOriginId: 'origin_id',
     pathPattern: '*',
     allowedMethods: ['GET', 'HEAD', 'OPTIONS', 'PUT', 'PATCH', 'POST', 'DELETE'],
+    cachedMethods: ['GET', 'HEAD', 'OPTIONS'],
+    compress: true,
     forwardedValues: {
       queryString: true,
       queryStringCacheKeys: ['user_id', 'auth'],
     },
-    viewerProtocolPolicy: 'allow-all',
+    smoothStreaming: true,
+    viewerProtocolPolicy: 'https-only',
   });
 });