The object of the present paper is to study N(k)-quasi Einstein manifolds. We study an N(k)-quasi Einstein manifold satisfying the conditions S.R - 0; R.C - f (Q) over cap (g, C). Next we prove that the curvature condition C.S - 0 holds in an N(k)-quasi Einstein manifold. Then we study an N(k)-quasi Einstein manifold satisfying the condition R.R - f (Q) over cap (S, R). Finally, we construct some examples of N(k)-quasi Einstein manifolds.