Abstract: The pressure bandage (1) for staunching a bleeding external wound (4) contains a hollow, gas-tight compress (2) which has at least one elastically ductile wall section (3), the outside of which can be laid against the wound to be treated. This wall section (3) is shaped toward the outsides through internal subjection to a fluid medium under pressure. For the generation of internal pressure the compress (2) is provided with a valve (11), the body (4') of which is made up of a flexible valve disk (6'). The latter is fixed to the wall of a fluid medium intake pipe (25) bordering on the flow cross section in such a way that when there is excess internal pressure in the compress (2) the valve disk is to be pressed with a sealing effect on the wall (9) which forms a valve seat (4') and which borders on the flow diameter. When excess pressure is exerted from the outside, the valve disk (6') is brought out of contact with the valve seat at at least one section of the latter's (4').