The　propagation　behavior　of　electro-acoustic　waves　(Bleustein-Gulyaev　waves)　in　a　piezoelectric　layered　structure　with　initial　stress　is　taken　into　account.　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　for　this　kind　of　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　is　greater　than　100　MPa.　These　results　are　related　to　the　performance　of　surface　acoustic　wave　devices.