A distributed fault-tolerant consensus control scheme is proposed for the security issues of discrete multi-agent systems under denial of service (DoS) attacks and actuator faults. First, construct an extended observer based on the predicted output for each agent to resist DoS attacks, and adopt an event-triggered strategy to conserve communication resources. Furthermore, based on the obtained fault estimation information, a distributed fault-tolerant controller is constructed by combining the observer state information. This controller compensates for actuator faults while effectively mitigating the impact of DoS attacks. Finally, through Lyapunov function analysis, sufficient conditions for the asymptotic stability of the multi-agent consensus error system and the estimation error system are derived. In addition, the viability and efficacy of the proposed method are further verified by theoretical derivations and numerical simulation experiment.