Abstract: The asymptotic stability and the switching strate gy are studied in this paper for discrete switched systems with time delay subsys tems. Based on Lyapunov stability theory, two different sufficient conditions are derived via LMI approach for the asymptotic stability under arbitrary switching. Furthermore, this paper develops the convex combination conditions for asymptotic stability of such systems and gives the way to choose switching strategy. The simulation result proves the validity of the designed switching strategy.