For 2-D discrete systems with interval time-varying delays, by applying delay-dependent method, the stability and control problems are studied. Firstly, a new Lyapunov functional containing the upper and lower bounds of delays is chosen. Considering all terms in the difference, a new delay-dependent stability criteria based on linear matrix inequalities(LMIs) is derived. Then the lower bounds of time-varying delays are given, and the upper bounds can be maximized through a convex optimization problem. Furthermore, the delay-dependent control is realized through state feedback and the gain matrix can be obtained through solving LMIs. Finally, numerical examples show that the obtained results are effective and better than the existing achievements.