TiC-TiB2-SiC system was a ternary eutectic, whose eutectic composition was 34TiC-22TiB2-44SiC (mol%). TiC-TiB2-SiC ternary eutectic composite were synthesized by a floating zone method using TiC, TiB2 and SiC powders as starting materials. The TiC-TiB2-SiC eutectic composite showed a lamellar texture. TiC(022), TiB2(010) and SiC(111) of the eutectic composite were perpendicular to the growth direction. TiC-TiB2-SiC ternary eutectic composite had specific relationship among the crystal planes: TiC[011]//TiB2[010]//SiC[112], TiC(200)//TiB2(001)//SiC( 402 ) and TiC( 111 )//TiB2(101 )//SiC( 220 ).