Tamm　states　localized　at　the　interface　between　a　homogeneous　potential　barrier　and　a　combined　magneto-electric　potential　barriers　superlattice　in　monolayer　graphene　have　been　theoretically　investigated.　The　results　show　that　the　symmetries　of　Tamm　states　are　different　when　the　components　of　the　superlattice　are　different.　When　the　single　unit　of　the　superlattice　consists　of　double　anti-parallel　potential　barriers　and　two　gaps,　Tamm　states　present　symmetry　about　momentum　wave　vector　k(y)＇　=　0　at　the　same　intensity　of　the　homogeneous　potential　barrier　(V-s).　When　the　single　unit　of　the　superlattice　consists　of　double　anti-parallel　magnetic　potential　barriers　and　two　gaps,　it　demonstrates　that　Tamm　states　at　positive　V-s,　are　symmetric　to　that　at　negative　V-s　about　the　electron　incident　energy　E-0　=　0.　When　the　single　unit　of　the　superlattice　consists　of　double　anti-parallel　combined　magneto-electric　potential　barriers,　the　band　gap　at　Dirac　point　is　opened,　Tamm　states　exhibit　no　symmetry　about　k(y)＇,　or　the　electron　incident　energy　whether　at　the　same　V-s　or　at　positive　and　negative　V-s.　(C)　2016　Elsevier　B.V.　All　rights　reserved.