A　stochastic　susceptible-infected-recovered　model　is　formulated　and　investigated　when　the　temporary　immunity　is　fixed　for　the　population　in　this　paper.　The　existence　and　uniqueness　of　the　global　positive　solution　has　been　checked　with　probability　one　for　any　initial　value.　And　the　sufficient　conditions　for　the　extinction　and　the　persistence　of　the　stochastic　epidemic　model　with　temporary　immunity　are　derived　by　constructing　Lyapunov　functions　and　the　generalized　Ito’s　formula,　where　the　threshold　of　the　persistence　does　not　depend　on　the　temporary　immunity,　while　the　densities　of　the　infected　and　recovered　are　obviously　dependent　on　the　temporary　immunity　when　given　a　perturbation.　Illustrative　examples　and　simulations　show　that　the　perturbations　make　the　properties　of　the　stochastic　epidemic　model　different　from　the　deterministic　one.　©　2017　ASSA.