It　is　well-known　that　when　waves　travel　in　solid　structures　the　motion　of　media　is　with　propagation,　non-propagation　or　evanescent　modes　respectively,　corresponding　to　real,　imaginary　or　complex　wave　numbers.　This　phenomenon　can　also　exist　in　magneto-electro-elastic,　multilayered　structures　and　can　be　illustrated　by　the　complex　dispersion　relation.　In　order　to　obtain　complex　dispersion　relation　of　magneto-electro-elastic　multilayered　structures,　the　strip　element　method　is　employed　in　this　paper.　From　the　point　of　view　of　energy　conversation,　the　strip　element　model　is　constructed　from　constitutive　equations,　equilibrium　equations　and　deformation　compatibility　conditions　of　magnetic-electro-elastic　media.　By　virtue　of　this　model,　the　complex　dispersion　relation　of　a　magnetic-electro-elastic,　multilayered　plate　composed　of　piezoelectric　material　BaTiO3and　piezomagnetic　CoFe2O4is　solved.　The　results　of　numerical　examples　correct　an　error　about　permeability　of　CoFe2O4in　some　recent　literatures.　The　method　proposed　in　this　paper　can　also　be　used　to　analyze　the　Green＇s　functions　and　dynamic　responses　of　magneto-electro-elastic,　multilayered　plates.