Abstract: Discusses the robust stability of a class of discrete large-scale systems with time-varying delay and nonlinear uncertainty. Based on the Lyapunov functional method and matrix norm inequality approach, a criterion of delay-independent robust stability for the systems is proposed, and the sufficient conditions as the criterion are given in terms of a family of Lyapunov equations and algebraic inequalities for simple computation and easy check. A numerical example is given to demonstrate the correctness of the method proposed.