PURPOSE: To obtain composite material parts having high strength at high temp., usable at high temp. without cooling, having resistance even to three- dimensional stress, less liable to peel even in the case of use under triaxial stress and hardly causing the peeling or falling of the matrices at the time of working.

CONSTITUTION: The production method consists of a three-dimensional weaving process 10 in which SiC fibers in two directions crossing each other are interwoven with SiC fibers in a direction perpendicular to the two directions to form a three-dimensional fabric, a vapor depositing process 12 in which a coating film of SiC is vapor-deposited on the surface of the fabric under heating under reduced pressure, an impregnating process 14 in which an adhesive is impregnated into the surface of the fabric and voids and an evaporating process 18 in which the impregnated adhesive is evaporated by heating the fabric.