The invention relates to a pressure-controlled shut-off valve (1) for temporarily interrupting the air supply to a fuel cell stack in a fuel cell system, comprising a valve piston (3) which can be moved back and forth in a cylindrical housing bore (2) and which is biased in the direction of a seal seat (5) by the spring force of a spring (4), wherein a connection between an air inlet channel (6) and an air outlet channel (7) is produced or interrupted depending on the axial position of the valve piston (3). According to the invention, the valve piston (3) delimits a spring chamber (8), which receives the spring (4) and to which ambient pressure is applied, on one side and a control chamber (9), which is connected to the air inlet channel (7), on the other side within the housing bore (2). The invention additionally relates to a fuel cell system comprising a shut-off valve (1) according to the invention.