A fuel cell stack for gaseous fuel includes a membrane electrode unit and a distribution plate including a channel area having gas channels for distributing the anode gas and the cathode gas to the membrane electrode unit and a port area for supplying the anode gas and the cathode gas into the channel area. Additional connecting channels discharge from the port areas along the gas channels so that unused anode gas or cathode gas is locally meterable from the port areas into the gas channels via these connecting channels.