The　finite　frequency　domain　H-infinity　consensus　control　problem　of　neutral　multi-agent　systems　with　the　input　delay　is　investigated　in　this　paper　for　the　first　time.　According　to　the　linear　transformation,　the　problem　of　H-infinity　consensus　is　converted　into　a　set　of　H-infinity　stability　problems.　Through　the　Lyapunov　theory,　combined　with　the　time-delay　interval　decomposition　method,　a　less　conservative　controller　design　method　for　the　state　feedback　controller　is　presented.　And　the　obtained　controller　can　ensure　closed-loop　multi-agent　systems　to　fulfil　the　consensus.　Utilizing　the　generalised　Kalman-Yakubovich-Popov　(GKYP)　lemma,　the　sufficient　condition　is　derived　for　multi-agent　systems　achieving　the　H-infinity　performance　in　the　finite　frequency　domain　(FFD).　Then,　via　the　orthogonal　spatial　information　of　the　input　matrix,　the　conservativeness　of　obtained　design　approach　is　further　declined.　Moreover,　the　design　method　with　less　conservativeness　is　proposed　for　the　dynamic　output　feedback　controller.　Finally,　a　numerical　case　and　a　multi-pendulum　system　controlled　by　the　multi-motor　system　are　presented　in　this　paper　to　demonstrate　the　availability　and　applicability　of　the　proposed　methods.