To　solve　the　distributed　robust　consensus　problem　for　the　continuous　time　linear　multi-agent　systems　(MASs)　with　model　uncertainties,　an　approach　of　robust　partial　stability　was　proposed,　which　transformed　the　problem　of　state　consensus　of　uncertain　multi-agent　systems　into　the　problem　of　robust　partial　asymptotic　stability　of　corresponding　linear　systems.Firstly,　an　incidence　matrix　was　established　based　on　a　spanning　tree　of　directed　graph,　which　can　make　the　structural　decomposition　of　the　original　uncertain　system.Secondly,　based　on　the　reduced-order　system,　a　robust　controller　of　quadratic　stabilization　was　designed,　and　a　sufficient　condition　guaranteeing　multi-agent　systems　states　achieve　uniformly　asymptotically　stable　was　derived.Eventually,　the　problem　of　control　protocol　design　was　converted　into　finding　the　feasible　solution　of　linear　matrix　inequality.It　enables　all　agents　to　not　only　ensure　that　the　uncertainty　closed-loop　system　is　progressively　stable　under　the　designed　control　protocol,　but　also　realize　the　consistency　of　the　state　of　the　multi-agent　system.Finally,　the　effectiveness　and　feasibility　of　the　proposed　approach　was　verified　by　simulation　examples.　©　2020,　Editorial　Board　of　Journal　of　Huazhong　University　of　Science　and　Technology.　All　right　reserved.