This paper deals with the output feedback stabilization problem for 2-D discrete linear systems without or with parameter uncertainty. The class of systems under investigation is described by the 2-D local state space (LSS) Fornasini-Marchesini second model. We focus on the design of a dynamic output feedback controller to achieve asymptotic stability for the closed-loop system. It is shown that the design of an output feedback controller can be recast to a convex optimization problem characterized by linear matrix inequalities (LMIs). Furthermore, the LMI approach is extended to solve the output feedback stabilization problem for 2-D uncertain systems subject to norm-bounded uncertainty.