Abstract: A substantially tubular cuff adapted to enclose a part of the body and apply pressure thereto, in order to achieve and maintain, in a circumferential region of the enclosed part of the body, a fluid-and gas-depleted field and/or in order to comprise a support and/or pressure bandage. The cuff includes substantially annular chambers (4) distributed one after the other in the axial direction of the cuff and adjacent to each other, whose walls (41) consist primarily of flexible and/or elastic materials. The chambers are enclosed by a common outer circumferential pressure cell (3) which extends in the axial direction of the cuff and which is provided with connection devices (12,13) in order to pressurize the cell (3) by a pressure medium from an external pressure source (14). The pressure cell has a wall (5) which faces the chambers (4) and is connected or integral with valve devices (6) to shut or open communication devices for passage of a pressure medium between adjacent chambers.