This　paper　considers　the　consensus　problem　with　finite　frequency-domain　H∞　performance　for　uncertain　multi-agent　systems　with　time-delays.　Using　a　linear　transformation,　the　consensus　problem　is　first　transformed　into　a　partial　stability　problem　of　a　reduced　dimensional　system.　Then,　based　on　the　orthogonal　space　information　of　input　matrix,　the　unified　method　of　designing　four　kinds　of　controllers　guaranteeing　the　consensus　with　H∞　performance　in　finite　frequency　ranges　for　the　system　is　proposed.　Moreover,　the　controller　gain　is　achieved　by　an　alternating　iteration　algorithm.　A　numerical　example　is　included　to　show　the　effectiveness　of　the　proposed　approach.　©　2018　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.