The TiC-TiB2-SiC system was a ternary eutectic, whose eutectic composition was 34TiC-22TiB2-44SiC (mol%). A TiC-TiB2-SiC ternary eutectic composite were synthesized via the 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. The TiC-TiB2-SiC ternary eutectic composite had a specific relationship among the crystal planes: TiC//TiB2//SiC, TiC(200)// TiB2(001)//SiC( 402 ) and TiC(111)//TiB2(101)//SiC( 220 ).