In　this　paper,　we　study　the　cooperative　global　robust　output　regulation　problem　for　a　class　of　lower　triangular　non-linear　uncertain　multi-agent　systems.　We　first　introduce　a　type　of　distributed　internal　model　to　convert　the　cooperative　global　robust　output　regulation　problem　into　a　global　robust　stabilization　problem　of　a　so-called　augmented　multi-agent　system　which　is　in　the　block　lower　triangular　form.　We　then　further　show　that,　under　a　set　of　standard　assumptions,　the　augmented　multi-agent　system　can　be　globally　stabilized　via　a　distributed　state　feedback　control　law　by　developing　a　block　backstepping　technique.　A　special　case　of　the　main　result　of　this　paper　leads　to　the　solution　of　the　leader-following　global　robust　consensus　problem　for　a　class　of　non-linear　uncertain　multi-agent　systems.