The leader-follower synchronization problem of uncertain nonlinear multi-agent systems with actuator faults is studied. By using fuzzy logic systems to approximate the unknown nonlinearities and fault estimators to identify the faults, a design scheme of distributed fuzzy fault-tolerant controllers for synchronization is proposed to guarantee that the states of all followers synchronize to that of the leader under directed communication graphs. Based on the Lyapunov stability theory, it is proved that the tracking errors are uniformly ultimately bounded. Simulation results show the effectiveness of the designed method.