The pressure relief valve has a spring-loaded membrane closing body (13), which lies in a sealing manner on a centrally arranged valve seating surface (10), surrounding a first valve opening (8). The spring-loading is achieved by means of a counter-pressure body (30), centrally arranged thereabove. The valve seating surface (10) is surrounded by a channel-shaped valve chamber (11), provided in the housing body (2) of the valve, in which at least one second valve opening (9) is provided on the over-pressure side. In order to be able to bleed off high over-pressures, the counter-pressure body (30) is surrounded by a membrane support ring (17) fixed to the valve housing (6), with a peripheral recess (19), the depth of which, measured perpendicular to the membrane closing body (13), corresponds to the maximum displacement of the membrane closing body (13) such that the when the valve is completely open the membrane closing body is supported in a region between the valve seat surface (10) and the outer edge thereof.