In this paper, we study some results of transversal hypersurfaces with (f, g˜, u, v, $\lambda$)-the structure of a nearly $\beta$-Kenmotsu manifold. Some more results on totally geodesic or totally umbilical transversal hypersurface with (f, g˜, u, v, $\lambda$)-structure of a nearly $\beta$-Kenmotsu manifold have also been studied.