A storage file for diskettes and the like which includes a container, first and second side rail members, a cover, and a lock for locking the cover to the container. The storage file is arranged to be supported by a support rail which has a horizontally extending slot. When the storage file is supported by the support rail and locked, the container is simultaneously locked to the support rail by an arrangement which requires the cover to be lifted from its closed position before the container can be removed from the support rail. The storage file may be used to store floppy or rigid diskettes by arrangements which include racks for rigid diskettes which support the diskettes by their lower edges, and dividers for floppy diskettes.