Abstract: A high shelf system and a conveyor arrangement including a vertical mast ucture which is movable in longitudinal direction of a corridor between shelf racks. The mast structure includes load receiving members which can be aligned with the shelf compartments. The load receiving members are displaceable perpendicularly to the shelf corridor. A load receiving member is fixedly arranged on the mast structure for each shelf level. At least one loading and unloading station is provided for the conveyor arrangement for vertically moving units to be stored between a storage input and output level and the shelf compartments. Each load receiving member carries on a rigid platform a transverse conveyor device which is adjustable along the entire length of the platform and beyond each end of the platform. The transverse conveyor device includes a slide or carriage. A linear drive arranged on the platform acts on the slide. The slide has at both ends thereof locking members for the units to be stored.