The storage system has non-driven conveyor roller beams (9) to transport and store cubic pack pieces (8). Its loading and centring device has a suction grip (1) to pull the pack pieces onto a plate (3) positioned centrally in front of the storage channel (27). There is a sampling device (4-7) for the pack pieces to be pulled onto the plate to determine the time and position for the pack pieces to pass from the plate onto the roller beams in the storage channel. A pusher (2) pushes the pack pieces onto the battens. ADVANTAGE - Handles pack pieces of different sizes automatically.