The present invention is directed to the provision of a solid electrolyte fuel-cell device that achieves increased durability, increased power generation efficiency, and easy utilization of heat, by making provisions to apply flames over the entire surface of an anode layer formed on a solid electrolyte substrate. Each individual fuel cell is constructed by forming a cathode layer and an anode layer on opposite surfaces of a plate-like solid electrolyte substrate. Power generation efficiency is increased by making provisions to ensure that a plurality of flames formed by burning a fuel supplied from a fuel supply pipe are applied over the entire surface of the anode layer. When a coolant pipe is provided in an interlaced fashion with the fuel supply pipe, not only can the heating of the fuel supply pipe by the burning of the fuel be suppressed, but also the waste heat can be utilized.