We　are　concerned　with　the　large-time　asymptotic　behaviors　towards　the　planar　rarefaction　wave　to　the　three-dimensional　(3D)　compressible　and　isentropic　Navier-Stokes　equations　in　half　space　with　Navier　boundary　conditions.　It　is　proved　that　the　planar　rarefaction　wave　is　time-asymptotically　stable　for　the　3D　initial-boundary　value　problem　of　the　compressible　Navier-Stokes　equations　in　R+　x　T-2　with　arbitrarily　large　wave　strength.　Compared　with　the　previous　work　[17,　16]　for　the　whole　space　problem,　Navier　boundary　conditions,　which　state　that　the　impermeable　wall　condition　holds　for　the　normal　velocity　and　the　fluid　tangential　velocity　is　proportional　to　the　tangential　component　of　the　viscous　stress　tensor　on　the　boundary,　are　crucially　used　for　the　stability　analysis　of　the　3D　initial-boundary　value　problem.