This　paper　presents　a　distributed　event-based　high　gain　feedback　design　for　the　cooperative　global　practical　output　regulation　problem　of　nonlinear　multi-agent　systems　with　unit　relative　degree　subject　to　the　general　nonlinear　leader　system.　We　first　convert　global　practical　output　regulation　problem　into　global　practical　stabilization　problem,　then　prove　the　input-to-state　stability　of　the　closed-loop　system　by　regarding　the　sampling　error　and　the　steady-state　of　the　actuator　together　as　the　external　input.　Based　on　the　high　gain　feedback　technique,　the　input-to-state　gain　function　can　be　made　sufficiently　small,　and　hence　the　tracking　error　can　converge　to　an　arbitrary　predefined　small　residual　set　around　the　origin.　A　distinguishing　feature　of　our　result　is　that,　our　controller　is　static　and　purely　digital,　thus,　giving　rise　to　quite　a　simple　structure.　©　2019　Elsevier　Ltd