A robust model predictive control method is proposed for a class of discrete-time nonlinear systems with interval time-delay, perturbation, input constraint and polytopic-type uncertainties. Based on the min-max model predictive control method, the robust model predictive controller is obtain. Then the disturbance rejection of the robust model predictive control in the sense of normbounded is studied. Besides, the informations of the upper and lower bounds of delay are applied to construct the Lyapunov function for obtaining the existence of the controller. Finally, the asymptotic stability of close-looped system is proved.