B. Y. Chen and F. Dillen established the general inequality for arbitrary isometric immersions of multiply warped product manifolds in arbitrary Riemannian manifolds [B. Y. Chen and F. Dillen, Int. Electron. J. Geom. 1, No. 1, 1–11 (2008; Zbl 1184.53059)]. In this paper, the author proves a similar inequality for multiply warped product submanifolds of a Kenmotsu space form.