A polymer electrolyte fuel cell includes a cathode, an anode, and an electrolyte membrane sandwiched between the cathode and the anode. A plurality of projections each having a height of 5 to 15 μm or a plurality of depressions each having a depth of 5 to 15 μm are formed on a surface of the electrolyte membrane, the surface being opposed to the cathode. The cathode is constituted by a catalyst layer formed to tightly contact the surface of the electrolyte membrane and having a maximum thickness that is one to three times the height of the projection or the depth of the depression. An oxygen-containing gas having a relative humidity of 10% or less is supplied to the cathode, and electric power is generated by using the polymer electrolyte fuel cell.