The invention concerns a composite material with a glass-ceramic or ceramic matrix obtained by the sol-gel process and reinforced by fibers, wherein said matrix is MLAS matrix and wherein said fibers are at least 17% by volume Si-Ti-C-O fibers. FIG. 2 shows the flexural stress-strain curves (compression and tension) for a composite material containing 24% by volume of Si-Ti-C-O fiber in a MLAS matrix. Shaped articles produced from the composite material according to this invention can be used in the aeronautical and spatial industries and in motor vehicle engines.