Layered　structures,　especially　thin　film　(coating)/substrate　system　play　important　roles　in　micro-electro-mechanical　system　(MEMS)　and　microelectronics　packages.　Many　surface　acoustic　wave　(SAW)　devices/sensors　adopt　the　layered　structures　that　with　a　piezoelectric　layer　deposited　on　the　substrate　to　achieve　high　performance.　Surface　electro-acoustic　waves　(Bleustein-Gulyaev　waves)　have　very　practical　importance　in　many　signal　transmission,　signal　processing　and　information　storage　applications.　In　piezoelectrics,　the　interaction　between　elastic　and　electric　field　in　such　a　wave　lead　to　a　number　of　new　effects　not　observable　in　non-piezoelectric　crystals.　The　propagation　behavior　of　this　kind　of　wave　in　a　piezoelectric　layered　structure　with　initial　stress　is　taken　into　account　in　this　paper.　Solutions　of　the　mechanical　displacement　and　electrical　potential　function　are　obtained　for　the　piezoelectric　layer　and　substrate,　respectively,　by　solving　the　coupled　electromechanical　field　equations.　Influence　of　the　initial　stress　on　the　phase　velocity　of　B-G　wave　propagation　and　the　electromechanical　coupling　factor　corresponding　to　this　surface　wave　is　discussed.　It　is　seen　that　the　phase　velocity　of　B-G　wave　propagation　decreases　and　the　electromechanical　coupling　factor　increases　remarkably　as　the　absolute　value　of　initial　stress　in　the　layer　is　greater　than　100　MPa.　The　results　reported　in　this　paper　not　only　meaningful　for　the　design　of　SAW　devices　with　high　quality,　but　also　effective　for　evaluating　the　residual　stress　distribution　in　the　layered　structures.