In this paper, we introduce the notion of warped product skew CR-submanifolds in Kenmotsu manifolds. We obtain several results on such submanifolds. A characterization for skew CR-submanifolds is obtained. Furthermore, we establish an inequality for the squared norm of the second fundamental form of a warped product skew CR-submanifold M1 × f M⊥ of order 1 in a Kenmotsu manifold M˜ in terms of the warping function such that M1 = MT ×Mθ, where MT, M⊥ and Mθ are invariant, anti-invariant and proper slant submanifolds of M˜, respectively. Finally, some applications of our results are given