In　this　paper,　for　discrete-time　nonlinear　systems,　an　event-based　intelligent　critic　algorithm　is　researched　to　deal　with　two-player　nonzero-sum　game　optimal　tracking　control　problems　(OTCPs).　The　OTCP　of　unknown　nonlinear　nonzero-sum　games　is　transformed　into　the　optimal　regulation　problem　of　corresponding　error　dynamics.　According　to　the　triggered　requirement,　we　develop　a　reasonable　triggering　condition　to　cut　down　the　number　of　updates　for　two　controllers,　which　achieves　the　goal　of　improving　resource　utilization.　Then,　based　on　the　dual　heuristic　programming　(DHP)　technique,　the　approximate　optimal　costate　function　and　the　tracking　control　pair　are　output　through　training　neural　networks　(NNs).　Finally,　an　example　is　wield　to　demonstrate　the　rationality　of　the　proposed　algorithm.　©　2022　IEEE.