<p>This work investigates the event-triggered model-free adaptive control (MFAC) method of nonlinear multi-agent systems (MASs) to achieve containment task under aperiodic denial-of-service (DoS) attacks, that only restrained by their frequency and duration. First, the model of follower agents described by the input and output data is converted into a corresponding data model in the MFAC framework. An event-triggered compact form dynamic linearization MFAC algorithm resistant to aperiodic DoS attacks is developed. Then, the stability of the MAS under DoS attacks is proven by combining the Lyapunov function with the contraction mapping approach. In comparison to current studies, a novel prediction compensation strategy is implemented in the MFAC framework to reduce the impact of aperiodic DoS attacks. Ultimately, the performance of the designed MFAC approach is confirmed through simulation results.</p>