The invention relates to a battery (10) for a vehicle. Said battery comprises a plurality of battery cells (12), which are arranged in a housing (16, 18, 20) of the battery (10), and also a cooling device (22, 24) for dissipating heat from the battery cells (12). A material (32), which takes up a first volume in a basic state and takes up a volume which is greater than the first volume in an expanded state, is introduced between the housing (20) and the cooling device (22, 24). The cooling device (22, 24) is pressed against the battery cells (12) by the material (32) which has changed over to its expanded state. The invention also relates to a method for producing a battery (10) of this kind.