TECHNOLOGY FOCUS - ELECTRICAL POWER AND ENERGY - Preferred Cell: The fuel cell comprises a cathode (30), an anode (32), and an electrolyte membrane interposed between the cathode and the anode. At least one of the cathode and the anode contains the supported catalyst.    TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Composition: The metal catalyst particles are formed of at least one material selected from platinum, ruthenium, palladium, rhodium, iridium, osmium and gold. The multi-layer structure of the metal catalyst particles is a structure in which another metal catalyst particles (c2) are impregnated on an upper surface of metal catalyst particles (c1) disposed on the carbon-based catalyst support. The number of layers in the multi-layer structure of the metal catalyst particles is 2 or 3. The amount of the catalyst metal precursor in operation (a) is 0.2-0.8 wt.pts based on 100 wt.pts of the total of the polyalcohol used in mixing process operation (a), and the polyalcohol and water used in operation (b). The amount of water in the mixture of the polyalcohol and water in operation (b) is 40-60 wt.pts based on 100 wt.pts of the total of the polyalcohol used in operation (a), and the polyalcohol and water used in operation (b).Preferred Material: The carbon-based catalyst support comprises at least one material selected from carbon black, Ketzen black (RTM: black), acetylene black, activated carbon powder, carbon molecular sieve, carbon nanotubes, activated carbon having micropores and mesoporous carbon.Preferred Properties: The carbon-based catalyst support has a surface area of 250 m2/g or more and an average particle diameter of 10-500 nm. The mono-layer structure of metal catalyst particles have an average diameter of 2.5-3 nm. The amount of metal catalyst particles is 60-80 wt.pts based on 100 wt.pts of the supported catalyst. The number of layers of the mono-layer structure is one.Preferred Precursor: The catalyst metal precursor is selected from platinum complex compounds such as H2PtCl4, H2PtCl6, K2PtCl4, K2PtCl6, ruthenium complex compounds such as (NH4)2(RuCl6), and (NH4)2(RuCl5H2O), gold complex compounds such as H2(AuCl4), (NH4)2(AuCl4) and/or H(Au(NO3)4)H2O.Preferred Method: The method further involves repeating mixing operations for at least 1 additional time, preferably at least 2 additional times. The pH of the mixture in operation (c) is adjusted to 9-13. The heating temperature of the mixture is 90-115degreesC, and a heating rate is in a range of 1.5-3.5degreesC/minute.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Compound: The polyalcohol is ethylene glycol, diethylene glycol or triethylene glycol. EXAMPLE - Hydrated platinum complex (H2PtCl6.xH2O) catalyst metal precursor (in g) (1.4656) having platinum content of 39.8 wt.% was dissolved in ethylene glycol (10), and the mixture containing the catalyst metal precursor was prepared. Ketzen black (RTM: black) (0.25) having surface area of 800 m2/g was added to solution (267) of ethylene glycol (150) and water (117), and dispersed for 20 minutes. The metal precursor mixture and carbon dispersed mixture were stirred for 10 minutes and pH was adjusted to 11 with a solution of 1 M sodium hydroxide and stirred for 10 minutes. The temperature of the solution was increased to 105degreesC in 35 minutes from room temperature, and maintained for 2 hours. The temperature was raised to 110degreesC, and maintained for 1 hour, then cooled to room temperature. Metal precursor solution containing hydrated platinum complex compound (H2PtCl6.xH2O) (1.4656) and water (6) were added to the solution at room temperature and pH was adjusted to 11. The mixture was heated, washed for 3-4 times, dried, and 82.4 wt.% platinum/carbon catalyst having multilayer structure was prepared. The catalyst had platinum diameter of 3.85 nm by X-ray diffraction analysis. A methanol fuel cell prepared using the catalyst had current density of 76.9 mA/cm2.