A buffer store for storing containers having a container axis has rotor that can be driven to rotate about a vertical machine axis. The rotor includes storing units distributed around the machine axis. Each one forms a storage region extending extends along an axial direction thereof in the rotor's longitudinal direction to accommodate containers in a storage position. Each container is oriented with its axis in either square or radial to the machine axis. A transport system introduces containers into and causes them to issue from the storage regions. The transport system swivels a container into storage position upon introduction of the container from a normal container position in which its container axis extends in a vertical direction. It also swivels a container out of storage position and into the normal position as the container is issued from a storage region.