A method of producing an uniformly, highly dispersed metal catalyst in which platinum (Pt) is dispersed in a dispersion ratio of 40 % or more measured by a CO pulse adsorption method and loaded as the catalyst metal over an entire cross section of the catalyst carrier substantially in agreement with distribution of sulfur or a sulfur compound, comprising: carrying out a pH swing process of a slurry of aluminum hydroxide generated by neutralizing aluminum salt to grow crystals of alumina hydrogel in which a pH of alumina hydrogel is alternately fluctuated between a pH range of the dissolution of alumina hydrogel and a pH range of the precipitation of boehmite gel by use of aluminum salt and ammonia; preparing a sulfur-containing porous γ-alumina carrier having a sulfur content of 0.5% by weight or more and 5% by weight or less and in which the sulfur or the sulfur compound is dispersed throughout a cross section thereof by any one of the following methods A to D: method A involving preparing an aluminum hydroxide gel serving as a precursor of an aluminum oxide containing sulfur using metal sulfate and/or sulfuric acid when preparing a catalyst carrier, forming the resultant into a predetermined shape, and drying and calcining the resultant; method B involving forming an aluminum hydroxide gel serving as a precursor of an aluminum oxide into a predetermined shape when preparing a catalyst carrier, drying the resultant to form a dry aluminum hydroxide gel, impregnating the dry aluminum oxide with a sulfur compound solution, and calcining the same; method C involving forming an aluminum hydroxide gel serving as a precursor of an aluminum oxide into a predetermined shape when preparing a catalyst carrier, drying the resultant to form a dry aluminum hydroxide, impregnating the dry aluminum hydroxide with a sulfur compound solution, and calcining the same; and method D involving forming an aluminum hydroxide gel serving as a precursor of an aluminum oxide into a predetermined shape, drying the resultant to form a dry aluminum hydroxide gel, calcining the dry aluminum hydroxide gel to form a calcined aluminum oxide, impregnating the calcined aluminum oxide with a sulfur compound solution such as an sulfuric acid aqueous solution and an ammonium sulfate solution, and further calcining the resultant; impregnating the obtained sulfur-containing porous γ-alumina carrier with an aqueous solution of a platinum compound having a pH value of 1.0 to 5.0; drying the resulting porous γ-alumina carrier to obtain a dried matter loading the platinum compound; reducing the dried matter loading the platinum compound as it is in a hydrogen atmosphere; or calcining the obtained dried matter loading the platinum compound to obtain a calcined matter loading platinum with a loading amount of 0.05% by weight or more and 5.0%. by weight or less; and reducing the obtained calcined matter loading the catalyst metal with hydrogen. carrying out a pH swing process of a slurry of aluminum hydroxide generated by neutralizing aluminum salt to grow crystals of alumina hydrogel in which a pH of alumina hydrogel is alternately fluctuated between a pH range of the dissolution of alumina hydrogel and a pH range of the precipitation of boehmite gel by use of aluminum salt and ammonia; preparing a sulfur-containing porous γ-alumina carrier having a sulfur content of 0.5% by weight or more and 5% by weight or less and in which the sulfur or the sulfur compound is dispersed throughout a cross section thereof by any one of the following methods A to D: method A involving preparing an aluminum hydroxide gel serving as a precursor of an aluminum oxide containing sulfur using metal sulfate and/or sulfuric acid when preparing a catalyst carrier, forming the resultant into a predetermined shape, and drying and calcining the resultant; method B involving forming an aluminum hydroxide gel serving as a precursor of an aluminum oxide into a predetermined shape when preparing a catalyst carrier, drying the resultant to form a dry aluminum hydroxide gel, impregnating the dry aluminum oxide with a sulfur compound solution, and calcining the same; method C involving forming an aluminum hydroxide gel serving as a precursor of an aluminum oxide into a predetermined shape when preparing a catalyst carrier, drying the resultant to form a dry aluminum hydroxide, impregnating the dry aluminum hydroxide with a sulfur compound solution, and calcining the same; and method D involving forming an aluminum hydroxide gel serving as a precursor of an aluminum oxide into a predetermined shape, drying the resultant to form a dry aluminum hydroxide gel, calcining the dry aluminum hydroxide gel to form a calcined aluminum oxide, impregnating the calcined aluminum oxide with a sulfur compound solution such as an sulfuric acid aqueous solution and an ammonium sulfate solution, and further calcining the resultant; impregnating the obtained sulfur-containing porous γ-alumina carrier with an aqueous solution of a platinum compound having a pH value of 1.0 to 5.0; drying the resulting porous γ-alumina carrier to obtain a dried matter loading the platinum compound; reducing the dried matter loading the platinum compound as it is in a hydrogen atmosphere; or calcining the obtained dried matter loading the platinum compound to obtain a calcined matter loading platinum with a loading amount of 0.05% by weight or more and 5.0%. by weight or less; and reducing the obtained calcined matter loading the catalyst metal with hydrogen.