An oxygen electrode used in the fuel cell and includes a plurality of carbon particles, a carbon thin-film, and surface nanostructure. The carbon particles are bonded to one another with the carbon thin-film, and the surface nanostructure is formed on the surface of the carbon thin-film. The surface nanostructure comprises catalyst nanoparticles made of platinum (Pt) and carbon nanoparticles. According to this combination of these elements, the catalyst nanoparticles are confined within three-dimensional structure to be formed by the carbon nanoparticles and are immobilized without losing space which allows any reactant to be accessed to the surface of the catalyst nanoparticles.