A battery module includes a plurality of individual electrical cells which are arranged within a common housing, wherein an end side of the housing has mechanical connecting elements for connecting the battery module to a temperature-control element which is provided outside the battery module in order to thereby enable good heat transfer between the battery module and the temperature-control element. The mechanical connecting elements are provided as corresponding upper and lower cutouts in the end side of the housing, which upper and lower cutouts are connected to one another by a through-passage, for receiving a connector of which the head can be positioned in the one cutout. The connector can extend vertically along the through-passage and can be connected to a mating piece which can be positioned at least partially in the other cutout and is fixedly connected to the temperature-control element.