The　description　of　wave　propagation　in　multilayered　adhesive　structure　is　quite　complex　with　different　interface　conditions.　In　the　case　of　plane　longitudinal　wave　incidence,　the　reflection　and　transmission　coefficient　expressions　of　longitudinal　and　transverse　waves　with　the　dimensionless　parameter　ωτ　in　plate-like　adhesive　structure　were　derived　when　the　adhesive　layer　was　assumed　as　viscoelastic　body　with　a　relaxed　time　of　τ.　First,　by　applying　this　method　to　aluminum-epoxy　resin-polystyrene　adhesive　structure,　and　comparing　with　existing　data,　the　feasibility　of　characterization　of　interface　state　by　assigning　ωτ　was　confirmed.　Secondly,　the　case　of　steel-epoxy　resin-steel　was　researched,　the　impacts　of　angle　of　incidence　and　frequency-thickness　products　on　the　sound　reflection　and　transmission　characteristics　were　analyzed.　The　results　show　that,　for　the　well-connected　or　sliding　interfaces,　the　curves　of　reflection　and　transmission　coefficients　show　periodically　oscillate　under　the　circumstance　of　vertical　incidence　of　longitudinal　wave.　In　the　case　of　the　oblique　incidence,　if　the　value　of　frequency-thickness　products　is　appropriate,　the　interface　forms　can　be　distinguished　effectively　with　the　use　of　reflection　or　transmission　coefficient　method　of　longitudinal　or　transverse　wave.　The　results　can　provide　theoretical　basis　for　testing　of　adhesive　structure　by　ultrasonics.　©　2016,　Editorial　Board　of　Journal　of　Huazhong　University　of　Science　and　Technology.　All　right　reserved.