In this paper we present the curvature tensors of Kenmotsu manifold satisfying the conditions W 1 (X, Y) · W 0 = 0, W 1 (X, Y) · W 1 = 0, W 1 (X, Y) · W 2 = 0, W 1 (X, Y) · W 3 = 0, W 1 (X, Y) · W 4 = 0 and W 1 (X, Y) · W ⋆ 1 = 0. According to these cases, Kenmotsu manifolds have been characterized. We consider that some interesting results on a Kenmotsu metric manifold are obtained.