Neo4j Aura is the simplest way to run Neo4j in the cloud. Completely automated and fully-managed, Neo4j Aura delivers the world’s most flexible, reliable and developer-friendly graph database as a service. With Neo4j Aura, you leave the day-to-day management of your database to the same engineers who built Neo4j, freeing you to focus on building rich graph-powered applications.
There are many other ways of running Neo4j on public clouds, where you deploy and manage the software yourself via the marketplaces of AWS, Azure and Google Cloud. There is support for Docker and Kubernetes (Helm).