Disclosed is a fuel cell system which comprises a power generation means that includes a plurality of fuel cells that are connectable to one another in series or in parallel through connecting terminals, a fuel gas supply conduit through which fuel electrodes of all or part of the fuel cells are connected in series and an oxidant gas supply conduit through which air electrodes of all or part of the fuel cells are connected in series; a switching means that switches an electric connection condition between the connecting terminals and connecting means of an external load device; a fuel gas supply means that supplies the fuel gas supply conduit with a fuel gas and an oxidant gas supply means that supplies the oxidant gas supply conduit with an oxidant gas; a load detecting means that detects a load of the external load device; and a control means that selects, based on an already derived relation between overall electric power output curves corresponding to the number of the fuel cells that are mutually connected and an operation temperature zone, one of the power output curves in accordance with an input from the load detecting means and selects the number of mutually connected fuel cells that brings about the highest voltage of the fuel cells thereby to control the switching means, the fuel gas supply means and the oxidant gas supply means.