diff --git a/packages/aws-cdk-lib/aws-s3-deployment/lib/bucket-deployment.ts b/packages/aws-cdk-lib/aws-s3-deployment/lib/bucket-deployment.ts
index fa7df6a1cbf51..a6e49babc03d7 100644
--- a/packages/aws-cdk-lib/aws-s3-deployment/lib/bucket-deployment.ts
+++ b/packages/aws-cdk-lib/aws-s3-deployment/lib/bucket-deployment.ts
@@ -342,6 +342,7 @@ export class BucketDeployment extends Construct {
         // This is necessary to make the CLI work in ADC regions.
         AWS_CA_BUNDLE: '/etc/pki/ca-trust/extracted/pem/tls-ca-bundle.pem',
       },
+      architecture: lambda.Architecture.ARM_64,
       lambdaPurpose: 'Custom::CDKBucketDeployment',
       timeout: cdk.Duration.minutes(15),
       role: props.role,
@@ -910,4 +911,4 @@ function sourceConfigEqual(stack: cdk.Stack, a: SourceConfig, b: SourceConfig) {
     JSON.stringify(stack.resolve(a.bucket.bucketName)) === JSON.stringify(stack.resolve(b.bucket.bucketName))
     && a.zipObjectKey === b.zipObjectKey
     && a.markers === undefined && b.markers === undefined);
-}
\ No newline at end of file
+}
diff --git a/packages/aws-cdk-lib/aws-s3-deployment/test/bucket-deployment.test.ts b/packages/aws-cdk-lib/aws-s3-deployment/test/bucket-deployment.test.ts
index 34801b97bb58b..40abe7b9d4e75 100644
--- a/packages/aws-cdk-lib/aws-s3-deployment/test/bucket-deployment.test.ts
+++ b/packages/aws-cdk-lib/aws-s3-deployment/test/bucket-deployment.test.ts
@@ -92,6 +92,21 @@ test('deploy with configured log retention', () => {
   Template.fromStack(stack).hasResourceProperties('Custom::LogRetention', { RetentionInDays: 7 });
 });
 
+test('deploy lambda with cheapest architecture', () => {
+  // GIVEN
+  const stack = new cdk.Stack();
+  const bucket = new s3.Bucket(stack, 'Dest');
+
+  // WHEN
+  new s3deploy.BucketDeployment(stack, 'Deploy', {
+    sources: [s3deploy.Source.asset(path.join(__dirname, 'my-website'))],
+    destinationBucket: bucket,
+  });
+
+  // THEN
+  Template.fromStack(stack).hasResourceProperties('AWS::Lambda::Function', { Architectures: ['arm64'] });
+});
+
 test('deploy with log group', () => {
   // GIVEN
   const stack = new cdk.Stack();