In this paper, the resilient optimal coordination control of linear multi-agent systems (MASs) under network intermittent denial of service (DoS) attacks is studied. Firstly, a resilient optimal fault-tolerant control strategy for MASs under a time-varying asymmetric communication network is proposed, and the cooperative quadratic performance index of the global agent network is optimized. Then, it is proved that the global tracking errors can asymptotically convergent to zero even in the case of actuator failures and network attacks. Further, when considering the unknown parameters in a MAS model with the actuator failures, a self-learning iterative algorithm based on local system state and input information is proposed to solve the algebraic Riccati equation(ARE). Each agent feedback controller gain can be obtained to achieve the flexible cooperative fault-tolerant control objective. Finally, the effectiveness of the proposed control method is verified by the Chua's circuit network in a simulation example.