A process for production of a supported catalyst that, when used for production of lower aliphatic carboxylic acids from oxygen and lower olefins, improves yields of the lower aliphatic carboxylic acids and minimizes production of carbon dioxide gas (CO2) by-product compared to the prior art. A compound comprising at least one element selected from elements of Groups 8, 9 and 10 of the Periodic Table, at least one chloride of an element selected from copper, silver and zinc, and a chloroauric acid salt, are loaded on a carrier, after which there are further loaded a compound comprising at least one element selected from gallium, indium, thallium, germanium, tin, lead, phosphorus, arsenic, antimony, bismuth, sulfur, selenium, tellurium and polonium, and a heteropoly acid.