In a cell stack of fuel cells according to the present invention, an output power density is measured at each of an upstream-side electricity generating section, which is located at an upstream-side of flow of fuel, and a downstream-side electricity generating section located at a downstream-side thereof. If the voltage at the upstream-side is higher than that at the downstream-side, a control operation to increase the concentration of fuel is performed. Conversely, if the voltage at the upstream-side is lower, a control operation to decrease the concentration of fuel is performed. Control directed to fuel concentration maximizing electricity generating efficiency may be implemented by repeatedly performing such control operations. There is no necessity for providing a concentration sensor in each of the generating sections. Consequently, simplification of configuration of and reduction in the size of the fuel cell may be achieved.