This paper deals with the H-infinity control problems for discrete-time linear systems with time-varying delays in state. In this paper, the H-infinity control law is assumed to be a memoryless state feedback and the size of time-varying delays considered is upper-bounded. The solution of the H-infinity control problem for discrete-time linear systems with time-varying delays in state can be obtained by solving an H-infinity control problem for auxiliary discrete-time linear systems with no time delays.