In the present paper, we study screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds. We give some characterization results followed by an example of screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds. Then, we analyze totally umbilical screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds. Finally, warped products of screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds are investigated.