Abstract
This paper considers the study of CR-submanifold of a nearly ?-Lorentzian trans Sasakian manifold, generalizing the results of a nearly ?-Lorentzian trans Sasakian manifold and thus those of Sasakian manifolds. We also obtain some results on parallel distribution relating to ?-vertical CR-submanifold of a nearly ?-Lorentzian trans Sasakian manifold.