A motor vehicle battery has at least one battery module (10) with a plurality of battery cells (11) bounded by battery module walls (12) of the battery module (10). Two opposite battery module walls (12) of the battery module (10) are between walls (14) of a battery housing or walls of a bodywork structure. Deformation elements (15) fasten the battery module walls (12) of the respective battery module (10) indirectly to walls (14) of the battery housing or of the bodywork structure, and the respective wall (14) of the battery housing or of the bodywork structure.