This paper investigates the event-triggered security consensus problem for nonlinear multi-agent systems(MASs)under denial-of-service(Do S) attacks over an undirected graph. A novel adaptive memory observer-based anti-disturbance control scheme is presented to improve the observer accuracy by adding a buffer for the system output measurements. Meanwhile, this control scheme can also provide more reasonable control signals when Do S attacks occur. To save network resources, an adaptive memory event-triggered mechanism(AMETM) is also proposed and Zeno behavior is excluded. It is worth mentioning that the AMETM's updates do not require global information. Then, the observer and controller gains are obtained by using the linear matrix inequality(LMI) technique. Finally, simulation examples show the effectiveness of the proposed control scheme.