Consider that nonlinear terms for multi-agent systems (MASs) exist and information transmission among agents is interrupted by denial-of-service (DoS) attacks, the paper focuses on the leader–follower consensus of nonlinear MASs under DoS attacks based on edge-event triggered mechanisms (EETMs). Firstly, in order to minimize the transmission of unnecessary information between any two neighboring agents in MASs, new EETMs are designed for all communication edges. Secondly, a fully distributed consensus protocol under the triggered mechanisms is designed to avoid any global information. At the meantime, due to DoS attacks, the communication network is unreliable. New EETMs consensus protocol can overcome the influence of DoS attacks. Additionally, the new strategy is exclusion of the Zeno behavior. Ultimately, simulation example will demonstrate the theoretical results.