An La.sub.2O.sub.3 powder and an SiO.sub.2 powder are mixed with each
other, and then heated. By heating, a porous material of
La.sub.XSi.sub.6O.sub.1.5X+12 (8.ltoreq.X.ltoreq.10) as a composite oxide
is produced. Subsequently, the porous material is pulverized to obtain a
powder, and the powder is added to a solvent to prepare a slurry. The
slurry is solidified in a magnetic field to prepare a compact. After
that, the compact is sintered, and an oxide ion conductor is obtained
thereby.