In a spacetime, all geodesic curves fall into one of three classes; spacelike, timelike and null (lightlike) geodesic according to their tangent vectors have positive, negative or vanishing Lorentzian lengths. However, by far the most interesting curves are null curves which represent the motion of zero restmass test particles. In this paper, as a generalization of real null curves of indefinite Kaehler manifolds, we introduce screen transversal lightlike submanifolds. Then, we study the geometry of this new class (and its subspaces) and give examples. (C) 2008 Elsevier Ltd. All rights reserved.