A method for producing a heat-resisting compound oxide in which first oxide particles are made to carry second fine particles having near charging characteristics. Said first oxide particles or their precursors are caused, before said first oxide particles or their precursors are caused to adsorb said first oxide particles or their precursors, to adsorb a predetermined acid or base so that they may be charged inversely of said second fine particles or their precursors to be adsorbed thereby. Said first oxide particles are caused to adsorb said second fine particles through said acid or base and are sintered to carry the same.