A fuel cell system for directly converting chemical energy of a fuel into electric energy electrochemically. A fuel cell has a cathode and an anode. A main hydrogen absorbing alloy supplies a hydrogen gas to the anode of the fuel cell during steady-state operation of the system. An auxiliary hydrogen absorbing alloy originally having a higher hydrogen gas absorbing/desorbing equilibrium pressure than the main hydrogen absorbing alloy at an equal temperature supplies a hydrogen gas to the anode until the equilibrium pressure of the main hydrogen absorbing alloy, which is supplied an exhaust gas from the fuel cell is equal to a hydrogen gas absorbing/desorbing equilibrium pressure of the auxiliary hydrogen absorbing alloy, the auxiliary hydrogen absorbing alloy receiving the hydrogen gas from the main hydrogen absorbing alloy during steady-state operation.