An apparatus comprises container host devices each implementing one or more containers, at least one storage platform coupled to the plurality of container host devices and implementing storage resources for utilization by processes running in the containers, and a controller associated with at least a subset of the container host devices and the storage platform. The containers implemented by the container host devices are arranged in container groups and the storage resources implemented by the storage platform are arranged in storage groups. The controller is configured to coordinate establishment of container host resource allocations for one or more of the container groups with establishment of storage resource allocations for one or more of the storage groups. Portions of the container groups may be arranged with corresponding portions of the storage groups into container-storage groups, with the controller generating information indicative of relative levels of resource utilization across the container-storage groups.