This paper concerns the problems of delay-dependent stability and control for 2-D discrete systems with interval time-varying delays. By choosing a Lyapunov functional with the upper and lower bounds of delays and considering all terms in its difference, then combining with the 2-D Jensen inequalities, a new delay-dependent stability criteria is given in terms of linear matrix inequalities(LMIs). Less decision variables are involved in the criteria, so the burden of numerical computation is reduced. And it is less conservative than some existing ones. Based on the stability criteria, state feedback is considered to realize the stability control of the system. Finally, numerical examples are given to illustrate the effectiveness and advantage of the results.