Continuous casting of the Al-Cu-Ni ternary eutectic alloys was carried out by the upward continuous casting process. The morphology of the ternary eutectic growth and the stability of solid-liquid interface were investigated under various growth conditions. It was possible to get the planar solid-liquid interface at the condition of G_L /R＝3.59×10³sec/㎟ in Al-Cu-Ni ternary eutectic alloys. In Al-rich, Ni-rich and Cu-rich hypereutectics of Al-Cu-Ni ternary alloys, primary α, τ and θ dendrites have grown as the leading phase ahead of the ternary eutectic composites.