Provided are a method for producing an alumina sintered compact satisfying the following (1) and (2), which comprises mixing and sintering an ilmenite powder and an alumina powder; the alumina sintered compact obtained according to the production method; and an abrasive grain and a grain stone. (1) The total amount of the TiO2-equivalent content of the titanium compound, the Fe2O3-equivalent content of the iron compound and the alumina content is at least 98% by mass; (2) The total amount of the TiO2-equivalent content of the titanium compound and the Fe2O3-equivalent content of the iron compound is from 5 to 13% by mass.