Abstract: Trays for temporary reception of accumulations of parallel cigarettes are being introduced into and withdrawn from open-sided containers for groups of trays. The containers are provided with partitions defining tray-receiving compartments in a predetermined distribution, and the trays are assembled into groups wherein the trays are arrayed in such a way that they can be pushed, as a unit, into an empty container whereby each tray of the array enters a discrete compartment. Analogously, a set of mobile suction-operated devices is used to simultaneously withdraw an entire group of arrayed trays from the compartments of a filled container. The introduction of groups of filled or empty trays into containers can take place at a first level, and the evacuation of groups of filled or empty trays from filled containers can take place at a different second level. The second level can receive filled trays from a tray filling unit and the first level can serve for delivery of empty trays to the tray filling unit.