The object of the present paper is to study non-invariant Hypersurfaces of ð›¿ð›¿âˆ’ Lorentzian trans-Sasakian Manifolds equipped with (f; g; u; v; )− structure and some properties obeyed by this structure are obtained also. The necessary and sufficient conditions have been otained for totally umbilical non-invariant hypersurfaces with ( f; g; u; v; ) −structure of ð›¿ð›¿âˆ’Lorentzian trans- Sasakian Manifold to be totally geodesic.