NOVELTY - A supported catalyst (c1) for a fuel cell, comprises: a graphite based catalyst carrier; acid treated first catalyst metal particles adsorbed on the surface of the graphite based catalyst carrier; and acid treated second catalyst metal particles dotting a surface of the first catalyst metal particles.    USE - In an electrode for fuel cell (claimed) such as polymer electrolyte membrane fuel cells (PEMFCs), phosphoric acid fuel cells (PAFCs), molten carbonate fuel cells (MCFCs), and solid oxide fuel cells (SOFCs).    ADVANTAGE - The supported catalyst for a fuel cell using graphite based catalyst carrier, increases durability of the fuel cell; and has superior energy density and fuel efficiency by minimizing the loss of a metal catalyst impregnated in the graphite based catalyst carrier and regulating the amount of the impregnated metal catalyst.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for the following:    (1) a method (m1) of preparing the supported catalyst for a fuel cell involving: preparing a first catalyst metal precursor solution by mixing a first catalyst metal precursor and polyol; preparing a graphite based catalyst carrier solution by mixing a graphite based catalyst carrier, polyol, and water; mixing the first catalyst metal precursor solution and the graphite based catalyst carrier solution; titrating a pH of the mixture of the first catalyst metal precursor solution and the graphite based catalyst carrier solution, and then heating and cooling the mixture of the first catalyst metal precursor solution and the graphite based catalyst carrier solution; preparing a second catalyst metal precursor solution by mixing a second catalyst metal precursor and polyol; adding the second catalyst metal precursor solution to the mixture of the first catalyst metal precursor solution and the graphite based catalyst carrier solution, titrating a pH of the resulting mixture, and then heating and cooling the resulting mixture; and filtrating, cleaning, and drying the resulting mixture;    (2) an electrode for a fuel cell, comprising the supported catalyst (c1);    (3) a fuel cell, comprising the electrode; and    (4) a method (m2) of preparing a supported catalyst for a fuel cell, involving: impregnating second catalyst metal particles on first catalyst metal particles using a two-step polyol process, where the second catalyst metal particles are impregnated on a surface of the first catalyst metal particles in form of dots.