A solid oxide fuel cell stack with a uniform flow distribution structure and a metal sealing member is provided, in which fuel and air introduced into the solid oxide fuel cell stack are preheated to a predetermined temperature by heat exchangers provided therein and uniformly distributed over the entire anode and cathode reaction surfaces of unit cells to improve the use efficiency of a fuel cell and in which the sealing of the fuel cell stack is effectively maintained even under high temperature and high pressure conditions to ensure the safety of the fuel cell and increase its durability.