A solid electrolyte fuel cell having an anode including an oxidation catalyst of a gaseous compound fine in size and superior in oxidation action able to eliminate pulverization work is provided. The oxidation catalyst is of a gaseous compound comprising a catalyst for promoting an oxidation reaction of a gaseous compound by oxygen ions supplied through a solid electrolyte under an environment where no oxygen molecules are present, comprising metal oxide particles produced by firing a precipitate comprised of a mixture of two types of metal hydrates obtained by coprecipitation from a mixed solution of two types of metal salts of different metal positive ions dissolved together, the composition of said metal oxide particles being expressed by the formula ABO2 (where, A is one element selected from the group consisting of Pd, Pt, Cu, and Ag, B is one element selected from the group consisting of Co, Cr, Rh, Al, Ga, Fe, In, Sc, and Tl).