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In this paper, we focus on the consensus problem of leaderless multi-agent systems with external disturbance under denial-of-service (DoS) attacks. First, the state predictor is constructed to reproduce the state information blocked during the active periods of DoS attacks. Then, a robust non-smooth consensus protocol is designed using the predictor states, which mitigates the open-loop phenomenon caused by the DoS attacks. Besides, we obtain the sufficient condition for agents to achieve consensus within a region, and demonstrate that the protocol can enhance the anti-disturbance and anti-attack capabilities of the systems. Finally, the theoretical results are verified through numerical simulations. • We introduce a non-smooth consensus protocol based on predictive data to enhance the resilience of multi-agent systems against attacks. The incorporation of distributed predictors prevents the system from entering an open-loop mode due to data unavailability during active periods of DoS attacks. This ensures the avoidance of severe uncontrolled divergence behaviors of multi-agent systems during active periods of attack, thus ensuring rapid consensus recovery as the dormant periods of DoS attack start. • As observed in the current research on multi-agent system control under DoS attacks, linear or sliding mode consensus algorithms are commonly employed. In this study, by incorporating non-smooth functions, the multi-agent system is endowed with faster convergence speed and stronger disturbance resistance capacity. • We incorporate the multiple inertially stabilized platforms system. The effectiveness and superiority of the proposed consensus protocol are demonstrated through comparison with traditional consensus protocols. This not only offers empirical substantiation for future investigations but also emphasizes the practical applicability of studying the consensus of first-order multi-agent systems with external disturbance under DoS attacks. [ABSTRACT FROM AUTHOR]