The invention relates to an device (1) for cooling and/or heating a body region, preferably a head region, comprising at least one thermally conductive skin contact material (2) and at least one Peltier element (3), wherein the Peltier element (3) is connected to the skin contact material (2), wherein a thermally conductive connecting element, in particular a thermally conductive film (5), and a heat dissipation element (12) are provided, wherein heat emitted via an outer side of the Peltier element (3) can be distributed to the heat dissipation element (12) via the connecting element.