The　cooperative　global　robust　output　regulation　problem　for　a　class　of　nonlinear　uncertain　multi-agent　systems　with　dynamic　uncertainty　has　been　approached　by　some　distributed　state　feedback　control　law,　however　this　method　does　not　produce　an　explicit　Lyapunov　function　for　the　closed-loop　system.　In　this　paper,　we　develop　a　Lyapunov＇s　direct　method　to　solving　the　global　robust　output　regulation　problem　for　the　mentioned　systems　and　produce　the　corresponding　controller.　Moreover,　the　Lyapunov　function　for　the　closed-loop　system　will　be　a　superposition　of　those　of　individual　subsystems.　©　2023　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.