The　Quasi-Static　Model　(QSM)　solution　of　vertical　incident　longitudinal　waves　in　plate-like　adhesive　structure　was　studied.　Under　the　condition　that　the　bonding　interface　was　simplified　as　a　Quasi-Static　Model,　the　expressions　of　the　reflection　and　transmission　coefficients　of　vertical　incident　longitudinal　waves　in　plate-like　adhesive　structure　with　perfectly　connected　interfaces　and　the　same　material　for　upper　and　lower　substrates　were　derived.　The　Quasi-Static　Model　and　the　exact　solutions　of　longitudinal　waves　were　compared　with　each　other　to　explain　the　applicable　conditions　of　the　Quasi-Static　Model.　The　influences　of　the　changes　of　the　normal　stiffness　coefficient　and　relative　mass　of　the　interface　on　the　reflection　and　transmission　characteristics　of　longitudinal　waves　were　analyzed.　The　results　indicate　that　at　certain　frequencies,　the　reflection　coefficient　of　longitudinal　waves　reduces　to　a　stable　value,　while　the　transmission　coefficient　increases　to　a　stable　value　with　the　increase　of　the　stiffness　coefficient　or　the　relative　mass　of　the　interface.　The　research　results　could　provide　a　theoretical　guide　for　the　detection　of　bonding　structure　by　longitudinal　wave　vertical　incident.　©　2018,　Engineering　Mechanics　Press.　All　right　reserved.