In the present paper, we have studied the Finslerian hypersurfaces and generalized β–conformal change of Finsler metric. The relations between the Finslerian hypersurface and the other which is Finslerian hypersurface given by generalized β–conformal change have been obtained. We have also proved that generalized β–conformal change makes three types of hypersurfaces invariant under certain conditions.

Keywords: generalized ,β-conformal change, generalized β-change, β-change, conformal change, Finslerian hypersurfaces, hyperplane of first, second and third kinds.