The γ/γ´ two-phases, commonly known as a eutectic structure, are observed in the γ interdendritic region of a Nibase superalloy. However, the growth behavior of the γ/γ´ two-phases, whether it is of eutectic or peritectic nature, has not been decidedly established. Directional solidifications were, thus, performed with the planar interface at a low growth rate of 0.5 μm/s in order to promote macro segregation. Directional solidification started with the γ planar interface and the γ´ phase nucleated on the γ planar interface at the solidification fraction of 0.75. The γ/γ´ two-phases showed the γ´ rod structure as major phase and the γ minor phase between γ´ rods, and the volume fraction of the γ phase changed continuously with an increasing solidification fraction. The two-phase γ/γ´ is seen as the coupled peritectic.