For　the　multiagent　systems,　how　to　allocate　the　communication　resources　effectively　and　thus　prolong　the　life-span　of　the　systems　is　an　interesting　problem.　Event-triggered　control,　which　can　maintain　an　anticipated　performance　while　reducing　the　communication　resources　of　multiagent　systems　efficaciously,　arises　for　solving　such　an　issue.　The　majority　of　the　obtained　event-based　consensus　results　in　literature　need　some　global　information.　In　order　to　overcome　the　existing　imperfections　mentioned　above,　this　article　studies　the　fully　distributed　consensus　problem　of　multiagent　systems　with　general　dynamics.　By　introducing　a　couple　of　adaptive　parameters,　a　fully　distributed　leader-following　consensus　protocol　in　the　event-triggered　fashion　is　developed.　In　such　a　design,　no　global　information　is　used.　Moreover,　the　new　node-based　adaptive　parameters　developed　in　this　paper　is　more　efficient　than　traditional　edge-based　ones.　The　Zeno　behavior　is　also　proved　to　be　excluded　in　the　close-looped　system,　which　makes　it　possible　for　practical　applications.　Finally,　a　simulation　example　is　provided　to　demonstrate　the　validity　of　the　designed　strategy.