A fuel cell system that includes a fuel cell module having first and second electrical supply terminals with an electrical output voltage applied thereto during operation of the fuel cell module. The electrical supply terminals are coupled to an electrical load, an air supply device that supplies air in an adjustable air quantity to the fuel cell module as one of the reactants for generating the output voltage, and a control device that controls an output power of the fuel cell module at the electrical supply terminals and adjusts the quantity of air supplied by the air supply device. The control device detects a load demand of the load and controls the output power of the fuel cell module in accordance with the detected load demand, to adjust and update the air quantity supplied by the air supply device in accordance with the detected load demand in air-ratio-controlled manner.