We investigate the asymptotic synchronization problem of switched complex networks (SCNs) on time scales. Switches are made by a following time sequence with a dwell time constraint. By designing a Lyapunov function and a matrix inequality, self-synchronizing criteria for SCNs are derived based on time scales theory. An impulsive coupling approach is designed to control links between nodes at the impulsive time. It is shown that the non-synchronized SCNs can be synchronized by impulsive coupling with interval constraint. Three simulations on different time scales verify the effectiveness of our conclusions.