<p>In this paper, finite-time bipartite consensus of the second-order leader-following multi-agent systems(LFMASs) with failed follower under competitive-cooperative network topology is considered. First, a control protocol is proposed to achieve finite-time bipartite consensus without failed follower, and when a follower fails, the protocol can still maintain the bipartite consensus of the new reconstructed topology by reducing the number of agents. Second, the communication ability within the agent network is damaged when a follower fails, the system’s tracking ability for the leader is weakened, and if the neighbor agents insist on using the previous state of the failed follower, it may hinder the remaining agents from achieving bipartite consensus. To solve this problem, according to the position and the competitive-cooperative relationships in the original topology, topology reconstruction strategy is established to re-establish the connections between the neighbors of the failed follower and the remaining agents. It is ensured that the reconstructed topology is structurally balanced. Therefore, by utilizing the reconstructed topology and the designed control protocol, the system can still achieve finite-time bipartite consensus when follower fails. Finally, the theoretical results are verified through simulations considering the cases with and without failed follower.</p>