A　susceptible-infected-vaccinated　epidemic　model　with　proportional　vaccination　and　generalized　nonlinear　rate　is　formulated　and　investigated　in　the　paper.　We　show　that　the　stochastic　epidemic　model　admits　a　unique　and　global　positive　solution　with　probability　one　when　constructing　a　proper　C2-function　therewith.　Then　a　sufficient　condition　that　guarantees　the　disappearances　of　diseases　is　derived　when　the　indicator　R0　＜　1.　Further,　if　R0　＞　1,　then　we　obtain　that　the　solution　is　weakly　permanent　with　probability　one.　We　also　derived　the　sufficient　conditions　of　the　persistence　in　the　mean　for　the　susceptible　and　infected　when　another　indicator　R0　＞　1.　©　2018　World　Scientific　Publishing　Company.