A bandage for the back or pelvis has adjacent pads mounted on an inner face of a supporting piece in a back area of the bandage, respectively one fastener strap piece for applying the bandage by joining together the ends of the two fastener strap pieces attaching at the opposite edge regions of the supporting piece, and two tensioning belts being assigned to the supporting piece, which are guided in such a manner that the pads approach each other when tensioning the tensioning belts and apply a pressure dependent on a tension force acting on the tensioning belts onto the relevant body part.