The processes of synthesis of titanium carboaluminide and carbosilicide by mechanically activated self-propagating high-temperature synthesis (MASHS) have been investigated. The MASHS was carried out using Ti-Al-C and Ti-SiC-C charge mixtures. The effect of the A component concentration on the formation of MAX - phases has been investigated. It is shown that the yield of the targeted MAX-phase can be increased by the fitting of some excessive A-component concentration. The synthesis products with the content of MAX - phases more than 98 wt. % in the Ti-Al-C system and 80 wt. % in the Ti-SiC-C one have been obtained.