The invention is directed to a support structure for an energy storage device, in particular for a battery pack of a vehicle that has at least one base panel which has a first surface and a second surface and that is at least partially made from a composite material. At least one thermal transfer member is arranged on the first surface of the least one base panel. The thermal transfer member comprises at least one contact face configured to be in thermal contact with at least part of an energy storage device to be mounted on the support structure.