A stochastic SIRS model with saturation incidence was explored,in which the recovery rate is influenced by white noise.The global existence,uniqueness and boundness of the positive solution of the system were discussed and the stochastical asymptotical stability of disease-free equilibrium was proved when the basic reproduction number is not more than 1 by constructing Lyapunov function.A sufficient criteria for the solution of the stochastic model oscillating around the endemic equilibrium of the deterministic model was also given out while the basic reproduction number is more than 1.Finally,numerical simulations were presented to illustrate the mathematical findings.