The robust stabilization problem for switched uncertain systems with saturating actuators is addressed here. The systems considered are discrete-time with parametric uncertainties entering all the matrices in the system representation. A switching control law is designed and a region is specified in which the stability of the closed-loop system is ensured by using the composite Lyapunov function, and the robust controller is constructed in terms of the solution to a set of linear matrix inequalities(LMIs). A numerical example is used to demonstrate the effectiveness of the proposed design technique.