This paper deals with the problem of robust H∞ synchronization for a class of impulsively-coupled complex switched networks with parametric uncertainties and time delay. The system under consideration involves time delay in the state and parameter uncertainties. By using the switched Lyapunov function approach, some sufficient conditions are developed to guarantee the robust synchronization of the networks. At the mean time, H∞ norm from the external disturbance to the synchronization error is reduced to a disturbance attenuation level. All the results are given in terms of linear matrix inequalities (LMIs). A numerical example is presented to demonstrate the effectiveness of the algorithm.