A seal arrangement in a fuel cell device seals against leaks in a mechanical joint between two components which convey a liquid and/or a gaseous process medium 3 in a media chamber of the fuel cell device. The seal arrangement has a first sealing member which extends around the media chamber in an installed state, and is in active connection with the components. A second, surrounding sealing member is arranged facing away from the media relative to the first sealing member and is formed of a different material from the first sealing member and/or has a different geometry.