For multi-agent systems (MAS) with uncertain communication topology, the problem of robust H∞ consensus fault-tolerant control for multi-agent systems with external bounded energy disturbances and actuator failures of any agent is studied. By introducing the weight matrix, the state equation of the multi-agent system is reduced by linear transformation, and the consensus fault-tolerant control problem of the multi-agent system with communication topology uncertainty is transformed into the robust quadratic asymptotic stability problem; Based on Lyapunov stability theory and LMI method, a sufficient condition for the state information of each agent to be asymptotically consistent is derived, and the solution of the consensus fault-tolerant control law is given. The effectiveness of the proposed method is verified by simulation. The results show that the proposed method can ensure the stability of fault MAS under uncertain communication topology, and has a certain disturbance rejection.