In this paper, an SLBS computer virus propagation model with cure and vertical transmission rate is proposed and analyzed. The basic reproduction number are obtained which guarantee computer virus eradication. Moreover we demonstrate that the viral equilibrium is globally asymptotically stable if the basic reproduction number is more than unity. Some numerical simulations illustrate our main results. According to theory and simulation, a set of policies is proposed for dropping or eradicating computer virus propagation across the Internet effective.