The subject of the present invention is a fuel cell system having at least one fuel cell which has an anode, a cathode, and a membrane element. Two electrode chambers are disposed in the fuel cell, and the electrode chambers are an anode chamber and a cathode chamber. An educt flows into the anode chamber and into the cathode chamber by means of a respective incoming stream. According to the invention, it is provided that at least one compensation region is disposed on the end of the membrane element and serves solely to moisten and/or temper at least one of the incoming streams.