A method of producing a catalyst support comprising a substrate, and coating formed on the surface of the substrate and including powder of a first metal oxide of at least one member selected from the group consisting of alumina, zirconia, titania, iron oxides, oxides of rare earth elements, alkali metal oxides and alkali earth metal oxides, wherein the coating is obtained by heat treating the substrate after applied with a coating composition obtained by mixing the first metal oxide powder together with a fluid raw material composition containing raw material of a second metal oxide of at least one member selected from the group consisting of alumina, zirconia, titania, iron oxides, oxides of rare earth elements, alkali metal oxides and alkali earth metal oxides, at a shear rate of 1000 sec.sup.-1 or higher.