Abstract: A kind of stochastic HIV model with two kinds of infections is investigated. It is firstly obtained that the system admits an unique positive global solution starting from the positive initial value. The results show that the disease-free equilibrium is exponentially stable if the basic reproduction number R₀ < 1, and the disease-free equilibrium is exponentially instable if the basic reproduction number R₀>1. Finally, numerical simulations are carried out to verify the theoretical results.