A battery module includes a battery module housing and a plurality of battery cells accommodated by the battery module housing. The battery module housing includes a main component for accommodating the battery cells and at least one additional component. The main component is of integral design and surrounds the battery cells from four sides. The additional component includes recesses for receiving a medium for temperature control. The recesses are closed by connecting the additional component to the main component to form media-carrying ducts. The main component is of open design on averted end sides. The battery cells are arranged at least substantially within the space which is surrounded by the main component.