Overvoltage arrester having a gas-filled housing, including two overvoltage arrester electrodes disposed across from each other in the housing, a tubular insulator body spacing the overvoltage arrester electrodes apart from each other, a ring-shaped flange integral with one of the overvoltage arrester electrodes forming a first spark gap electrode, a ring-shaped metal cap forming a second spark gap electrode being superimposed on the first spark gap electrode and pressed in on the tubular insulator body, the first and second spark gap electrodes forming a spark gap having a given clearance therebetween, and a contact spring connecting the second spark gap electrode to the other of the overvoltage arrester electrodes.