A conveyor dishwashing machine (1) has at least one washing zone (7), and at least one final rinse zone (8) which is connected downstream (as viewed in the transport direction (T) of the wash items) of the at least one washing zone (7). The conveyor dishwashing machine (1) has a transport apparatus for transporting the wash items through the treatment zones (6, 7) of the conveyor dishwashing machine (1) so that the wash items are situated at least in regions in a washing plane (5) which runs horizontally. The washing plane (5) is configured as a main washing plane, and there is at least one additional washing plane (6) in at least one of the treatment zones (7, 8) of the conveyor dishwashing machine (1), in which additional washing plane (6) wash items can be treated.