In a fuel cell, a fuel cell stack for high temperature comprises: a main body of the fuel cell having an electrolyte membrane, and an anode electrode and a cathode electrode bonded to both sides of the electrolyte membrane for generating electric energy by electro-chemically reacting fuel supplied to the anode electrode and oxidizer supplied to the cathode electrode; and a heater having a chamber attached to the main body of the fuel cell and an oxidation catalyst installed inside the chamber. The heater generates heat by oxidizing fuel supplied to the inside of the chamber, and heats the main body of the fuel cell with the generated heat. According to the present invention, it is possible to significantly reduce the starting time of the main body of the fuel cell, and to easily control a starting temperature of the main body of the fuel cell.