The first author [Rev. Fac. Sci. Univ. Istanbul, Sér. A 34(1969), 97- 101 (1971; Zbl 0224.53020)] derived the equations of special curves in a Finsler hypersurface. In the present paper, the authors derive the equations of special curves in another form and establish some new results. They also show that the special curves become union, hyperasymptotic and hypernormal curves in special cases.