A dishwasher has a wash system with a nozzle system with at least one wash nozzle for spraying wash liquid, a wash tank, and a wash pump by means of which wash liquid collected in the wash tank is fed to the at least one wash nozzle. A dirt-collecting system has at least one tank-covering screen to separate off particles of dirt from the wash liquid. The dirt-collecting system also has a dirt-collecting region arranged in the wash system and is intended for collecting the particles of dirt which have been separated off from the wash liquid with the aid of the tank-covering screen, wherein the dirt-collecting region is open at the top, but closed all the way around the sides, and wherein there is also a dirt-discharging pipe system by means of which the particles of dirt collected in the dirt-collecting region are discharged from the wash system.