A preformed of SiC fiber, which is coated with one or more of C, BN and SiC, is impregnated with a slurry, which suspends fine SiC powder and a sintering additive therein. The impregnated preform is hot-pressed at 1600-1800.degree. C. with a pressure of 10 MPa or more. The sintering additive may be one or more of Al.sub.2O.sub.3, Y.sub.2O.sub.3, SiO.sub.2 and CaO. The slurry may futher contain a silicone polymer selected from polycarbosilane, polyvinylsilane and polymethylsilane. Reaction of SiC fiber with a matrix is inhibited by the coating, so as to manufacture a SiC fiber-reinforced SiC-matrix composite remarkably improved in mechanical properties.