A battery arrangement (1) has at least two battery cell packs (2, 3) arranged in a common battery housing (4). The battery housing (4) has at least one first opening (5) for supplying cooling air and at least one second opening (6) for discharging heated air. The battery cell packs (2, 3) are arranged one above the other and delimit a tunnel (7) therebetween in a height direction. At least one of the first and second openings (5, 6) is arranged substantially at the same level as the tunnel (7). The tunnel (7) is closed at a side facing one of the first and second openings (5, 6) so that air flowing between the first and second openings (5, 6) is channeled through or around the battery cell packs (2, 3).