The focus of the current investigation is on the stationary distribution and extinction of a class of stochastic SVIR epidemic model with saturation incidence . Firstly, for any positive initial value, it is proven there is a unique global positive solution for the system; secondly, by constructing a Lyapunov function, there always exists a stationary distribution with a unique traversal with. Finally, it is proven that the disease will become exponentially extinct with.