The　spectral　element　method　(SEM)　is　extended　to　investigate　the　vibration　band　gap　properties　of　three-dimensional　(3D)　Kagome　lattices.　The　dynamic　stiffness　matrix　of　the　3D　element　which　contains　bending,　tensional　and　torsional　components　is　derived.　The　spectral　equations　of　motion　of　the　whole　3D　Kagome　lattice　are　then　established.　Comparing　with　frequency　domain　solutions　calculated　by　the　finite　element　method　(FEM),　the　accuracy　and　the　feasibility　of　the　SEM　solutions　are　verified.　It　can　be　shown　that　the　SEM　is　suitable　for　analyzing　the　vibration　band　gap　properties.　Due　to　the　band　gap　characteristics,　the　periodic　3D　Kagome　lattice　has　the　performance　of　vibration　isolation.　The　influences　of　the　structural　and　material　parameters　on　the　vibration　band　gaps　are　discussed　and　a　new　type　of　3D　Kagome　lattice　is　designed　to　obtain　the　improved　vibration　isolation　capability.　(C)　2014　Elsevier　Ltd.　All　rights　reserved.