Abstract: In accordance with the method according to the present invention, particles consisting of ferrotitanium, ferroniobium or ferrovanadium are dispersed and hot compacted in a metal matrix powder consisting of hardening steel or heat-resistant alloys. In so doing, titanium, niobium or vanadium carbide is obtained in situ by a solid-state reaction, i.e. without melting, from the carbon admixed or contained in the matrix powder and the ferroalloy particles. Carbon can also be absorbed from the gaseous phase and it may be substituted by nitrogen. This method permits a reasonably-priced introduction of hard particles into the composite material, the hard particles having a size that is necessary as a protection against scoring wear.