Abstract: For a class of discrete systems with time-delay, a memorial state feedback controller is designed to enable the closed-loop system to be asymptotically stable with a minimum upper bound assigned to the performance index involving the worst uncertainty or disturbance. Defining the minimax robust control of discrete time-delay systems, the existence condition and design method of minimax robust controller are given by the Lyapunov method and LMI (linear matrix inequation). Then by building and solving the convex optimization problem, the optimal upper bound of performance index and parameters of the state feedback controller is given. Some numerical examples are shown to illustrate that the minimax controller can prevent well from disturbance at little expense.