Examples described herein are generally directed to backing up and restoring of container clusters. According to an example, the conventional tight coupling between namespaces and tenants is eliminated by providing within a container platform a tenant abstraction for each tenant of the container platform that shares resources of a container cluster. The tenant abstraction for a given tenant includes information indicative of a subset of namespaces of the container cluster assigned to the given tenant. Responsive to receipt via a user interface of the container platform of a request to backup a particular tenant of the container platform: the container platform determines the subset of namespaces assigned to the particular tenant; and for each namespace, causes a namespace-level backup/recovery tool to backup object data for the namespace within a backup location, and backup data associated with persistent volume claims for each unit of cluster replication within the namespace.