A steam generator for supplying steam to cooking equipment comprises a water-filled boiler comprising an automatic, level-regulated water emission, a steam discharge for automatic introduction of hot steam into a cooking chamber for the cooking equipment as needed, a heating unit operating at intervals and a decalcification arrangement having a water drain arranged close to the floor and to a side wall of the boiler for, as needed, at least partial emptying of the boiler for the purpose of flushing-out lime particles that flake off and collect on the floor of the boiler. Preferably, the decalcification arrangement comprises an arrangement for generating a flow in the steam generator that automatically kicks in at preferably adjustable intervals dependent on the operating duration and/or temperature of the heating unit to supply water to an elimination device. The arrangement for generating a flow can encompass the eliminating device and can be either a suction tube having a drain provided at the floor of the boiler; a flushing pump having a flushing admission lying diametrically opposite close to the boiler wall; or a steam pump that comprises a cooling device for the precipitation of the line particles.