The inventive method for producing refractory high-strength spherical granules consists in separately presintering kaolin and bauxite in a rotational furnace, jointly sintering said components in order to produce a charging material, granulating, drying and screening said charging material, sintering said granules in the rotational furnace and screening the sintered granules. Said sintered kaoline is produced by sintering at a temperature ranging from 1400 to 1500 DEG C so far as a water absorption of 5% is attained for kaoline containing 40-45 mass % and a free quartz in a quantity equal to or greater than 60 mass %. The Al.sub.2O.sub.3:SiO2 ratio in the charging material is equal to 1:1 at the following charging material component ratio: 36-67 mass % sintered kaolin and the rest being sintered bauxite.