Aiming at many security problems of nonlinear multi-agent systems with time delay, a state tracking method of cooperative fault-tolerant control for high-order nonlinear multi-agent systems with state delay is proposed. A fuzzy logic system is used to deal with the nonlinear term of the follower system; a hyperbolic tangent function is introduced to deal with the situation that the error variable is zero and discontinuous at the denominator, so that the signal is kept continuous; an adaptive fault-tolerant controller is designed to compensate the actuator failure; an appropriate Lyapunov-Krasovskii function is selected to deal with the influence of the time delay term on the system; The stability of the multi-agent system is proved by Lyapunov stability theory. The simulation results show that the state of each follower can be synchronized with the state of the leader under the directed graph, which proves that the design is effective.