The l2-l∞  dynamic output feedback control problem is investigated for discrete LPV repetitive processes which are a kind of complicated time-varying 2D systems. Traditionally, based on the quadratic stability framework, a comment controller which has usually large conservatism is designed for the whole parameter variation space. Therefore, the robust l2-l∞  dynamic output feedback controller with parameter-dependent is designed by using parameter-dependent Lyapunov function, which reduces the conservatism of the design, and guarantees that the closed-loop discrete LPV repetitive process is asymptotically stable along the pass and has a certain l2-l∞  disturbance rejection level. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design scheme.