A membrane electrode assembly for solid polymer electrolyte fuel cell includes an anode electrode, a cathode electrode, and a polymer electrolyte membrane sandwiched by these electrodes, the catalyst layer of cathode electrode contains a Pt--Co catalyst that is Pt--Co alloys supported by an electrical conductive material, and crystalline carbon fibers, improving the catalyst activity and controlling the oxidization corrosion reaction of the catalyst carrier can be carried out, and providing a high initial performance and superior durability.