The solid oxide type fuel cell includes a cylindrical-shaped member S which includes an anode A on the inner surface of a cylindrical-shaped electrolyte E made of a solid oxide and a cathode on the outer surface thereof. The anode A contains an oxidation catalyst at least on the surface thereof. A fuel gas F is supplied from one end of the cylindrical-shaped member S, and a discharge gas, which is discharged from the other end of the cylindrical-shaped member S and includes uncombusted and/or incompletely combusted components, is combusted using flame combustion outside the cylindrical-shaped member S. Owing to the increased temperature of the cylindrical-shaped member S caused by the flame combustion B, the fuel gas F is combusted using catalyst combustion F within the cylindrical-shaped member S, thereby generating power.