In this paper, the problem of fault-tolerant synchronization control for complex networks with actuator faults is studied. First, the actuator faults in this paper consider partial loss of effectiveness, bias fault and both exist at the same time. Then, a dynamic output feedback controllers are designed by using LMI technique. Furthermore, via Lyapunov analysis theory, it is proved that the synchronization errors asymptotically converge to zero for the fault-free case, while the synchronization errors are all bounded for the faulty cases. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.