For deploying static websites with the serverless framework do the following:

1. If not installed, then install serverless framework:
npm install -g serverless
2. Create the service. The Github-repo has to be public!:
serverless create -u https://github.com/albertschwarzkopf/serverless-static-website -n serverless-static-website-template
3. Go in the new directory
4. Install the S3 sync plugin:
serverless plugin install -n serverless-s3-sync
5. Put your static files and folders into the static directory
6. Deploy your Stack: serverless deploy -v -r eu-central-1