In the present paper, we investigate generalized quasi Einstein manifolds satisfying some special curvature conditions R . S = 0, R . S = L(S)Q(g, S), C . S = 0, (C) over tilde . S = 0, (W) over tilde . S = 0 and W-2 . S = 0 where R; S; C; (C) over tilde; (W) over tilde and W-2 respectively denote the Riemannian curvature tensor, Ricci tensor, conformal curvature tensor, concircular curvature tensor, quasi conformal curvature tensor and W-2-curvature tensor. Later, we find some sufficient conditions for a generalized quasi Einstein manifold to be a quasi Einstein manifold and we show the existence of a nearly quasi Einstein manifolds, by constructing a non trivial example.