In order to provide a mixed oxide ceramic sintered body having no defect such as void and pore, and high strength, toughness and reliability, a mixed oxide of rare earth oxide-alumina oxide added with silica is fired with a non-oxide mixture of SiC and/or Si3N4. In the production method, the crystal grain size of the sintered body is controlled to not more than 30μ, and abnormal grain growth and occurrence of pore can be restrained to easily produce a practically usable mixed oxide ceramic sintered body having excellent toughness inherent to oxide sintered body and excellent high-temperature strength inherent to SiC and Si3N4 and uniform structure.