The dynamics of a stochastic SIS epidemic model with vertical transmission and media coverage was investigated. The existence and uniqueness of the global position solution of the model was proved, and the asymptotic behavior around the endemic equilibrium of the corresponding deterministic model was analyzed. Then, by constructing a suitable Lyapunov function, the sufficient conditions for the extinction of disease as well as the existence of unique ergodic stationary distribution were obtained. Numerical simulations were displayed to support the theoretical results.