A solid oxide fuel cell system includes a solid oxide fuel cell, a combustor disposed in a cathode gas supply line of the fuel cell, a fuel supply unit configured to supply a fuel to the combustor, and a cathode gas supply unit configured to supply a cathode gas to the cathode gas supply line. The system further includes a stop control unit configured to perform a stop control of the fuel cell, which includes a control that sets a cathode gas supply amount from the cathode gas supply unit to a predetermined amount and a control that supplies the fuel from the fuel supply unit in a supply amount corresponding to the cathode gas supply amount.