A direct methanol fuel cell (10) having a constitution including a fuel electrode (23), a liquid-fuel vaporization membrane (43) for vaporizing an aqueous methanol solution and feeding methanol gas to the fuel electrode (23), and a generated-gas discharge part (50) disposed between the electrode (23) and the membrane (43), the part (50) comprising hollow-fiber-membrane bundles (51) which extend through the part (50) and are composed of many hollow fiber membranes (52). The hollow fiber membranes (52) allow the carbon dioxide present in a gaseous mixture comprising methanol and carbon dioxide and other substances generated at the fuel electrode (23) to selectively permeate through the membranes (52). The carbon dioxide passes through hollow parts and is discharged through those end parts of the hollow fiber membranes (52) which are open at a side of the fuel cell (10). The fuel cell (10) has the high ability to discharge carbon dioxide and inhibits methanol gas from leaking. By further disposing a pressure application part (45) which applies a back pressure to the aqueous methanol solution in a fuel-storing part (42), the ability to discharge carbon dioxide is further heightened.
