A motor vehicle battery has a plurality of battery modules (12). Each battery module (12) is fastened to housing walls (15) of a battery housing (11). The battery housing (11) has at least two housing modules (17, 18) positioned above one another and formed with housing module walls (19, 20). At least some of the mutually adjoining housing module walls (19, 20) interengage in the manner of toothing to form the housing walls (15, 16).