NOVELTY - Metal ion chosen from group IV transition metal element, metal ion chosen from V transition metal element, and/or platinum ion or gold ion, are added to suspension liquid (a). Metal particles having average particle diameter of 1-20 nm, are added to support, and obtained dispersion liquid of metal-particle supported catalyst is desalinated. Metal ions which are not supported by the support are removed, and resultant metal-particle supported catalyst dispersion liquid is dry-processed to obtain metal-particle supported catalyst.    USE - Manufacture of metal-particle supported catalyst used for hydrogenation reaction of unsaturated hydrocarbon, aromatic, ester, aldehyde or ketone; oxidation reaction of alcohol, methylene groups, diesel motor vehicle gas or gasoline-automobile waste gas; dehydrogenation of gasoline or saturated hydrocarbon to give aromatic or unsaturated hydrocarbons; hydrocracking reaction of gasoline, and in reactions involving benzoyl group derivative, epoxy derivative, nitric acid or sulfuric acid; in gas sensor of hydrogen, oxygen, carbon monoxide or carbon dioxide and in fuel cell electric power generation systems (all claimed).    ADVANTAGE - The method efficiently and economically provides metal-particle supported catalyst having excellent catalyst performance, gas-adsorption ability, electrical property, and durability.    DETAILED DESCRIPTION - Metal ion chosen from group IV transition metal element, metal ion chosen from V transition metal element, and/or platinum ion or gold ion, are added to suspension liquid (a) obtained by dispersing a support having average primary particle diameter of 1-500 nm and containing ion exchanger to solvent (0.1-100 parts mass, in conversion of metallic element with respect to 100 parts mass of support), and metal ion is supported to the support. Metal particles (50-100000 parts mass) having average particle diameter of 1-20 nm chosen from group IV transition metal element, group V transition metal element, platinum particles or gold particles, and their mixture, are added to 100 parts mass support, and the temperature of the suspension liquid (a) is controlled to 15-40 degrees C to obtain precursor dispersion liquid of metal-particle supported catalyst. The obtained dispersion liquid of metal-particle supported catalyst is desalinated, and metal ions which are not supported by the support are removed. The resultant metal-particle supported catalyst dispersion liquid is dry-processed at 100-200 degrees C to obtain metal-particle supported catalyst.