A bleed flow valve assembly for venting air from a blood pressure cuff at relatively constant pressure decrease rate irrespective of cuff size includes a multiple chamber bleed valve and a multiple position control valve operatively associated therewith. A first end chamber is connected in pneumatic communication with the cuff and pneumatically sealed from a second central chamber by a first flexible diaphragm. A third end chamber is separated from the central chamber by a second flexible diaphragm. A variable flow area opening through the second diaphragm provides a flow path for controllably venting air from the second chamber to ambient pressure when the control valve is selectively positioned to connect the third chamber in pneumatic communication with ambient pressure. Air is vented from the cuff through the first chamber in regulated response to the pressure differential between the first chamber and the second chamber acting upon the first flexible diaphragm.