The fuel tank venting device is furnished with a full fuel control valve and a rollover valve that are installed on a fuel tank, and a fuel tank valve unit having a pressure valve that is situated between a canister and the two valves. The pressure valve is furnished with a casing that has a valve chamber, a valve body housed within the valve chamber, and a spring. The valve body has a disk-shaped valve part and a side wall that projects with tubular contours from the outside perimeter of the valve part, and has a cup shape defining a spring chamber that is bounded by the valve part and the side wall. The valve part is perforated by an orifice of smaller planar dimensions than the valve aperture.