Abstract. We de ne a quarter symmetric metric connection in a Loren-tzian para-Sasakian manifold and study CR-submanifolds of a Lorentzianpara-Sasakian manifold endowed with a quarter symmetric metric connec-tion. Moreover, we also obtain integrability conditions of the distributionson CR-submanifolds. 1. IntroductionA. Bejancu introduced the notion of CR-submanifolds of a Kaehler man-ifold in [3]. Later, CR-submanifolds of Sasakian manifold were studied byM. Kobayashi in [9]. K. Motsumoto introduced the idea of Lorentzian para-Sasakian structure and studied its several properties in [10]. B. Prasad in[12], S. Prasad and R. H. Ojha in [13] studied submanifolds of a Lorentzianpara-Sasakian manifolds. U. C. De and Anup Kumar Sengupta studied CR-submanifolds of a Lorentzian para-Sasakian manifold in [7]. In this paper westudy CR-submanifolds of a Lorentzian para-Sasakian manifold endowed witha quarter symmetric metric connection.Let ∇ be a linear connection in an n -dimensional fftiable manifold