We　study　the　boundary　layer　problem　and　the　quasineutral　limit　of　the　compressible　Euler-Poisson　system　arising　from　plasma　physics　in　a　domain　with　boundary.　The　quasineutral　regime　is　the　incompressible　Euler　equations.　Compared　to　the　quasineutral　limit　of　compressible　Euler-Poisson　equations　in　whole　space　or　periodic　domain,　the　key　difficulty　here　is　to　deal　with　the　singularity　caused　by　the　boundary　layer.　The　proof　of　the　result　is　based　on　a　lambda-　weighted　energy　method　and　the　matched　asymptotic　expansion　method.