A battery housing for accommodating one or more cell blocks of a battery provides the interstice between an outer wall and an inner wall with supported vacuum insulation composed of a porous support material. This vacuum insulation can be switched between an insulation state and a transient state. The interstice is additionally provided with cooling elements. This battery housing offers crash-safe accommodation of the cell blocks accommodated in the battery housing, for one thing, and furthermore offers passive or controllable and/or regulatable thermal management to the effect that the cell blocks accommodated in the battery housing can be cooled or heated as needed, in any case kept in a permissible temperature range in every operating state.