Abstract: The stochastic stability for networked control systems with stochastic network-induced delay and data packet dropout is studied. When data are transmitted over network, the stochastic data packet dropout process is modeled as a Markov chain with two states. Based on the theory of Markovian jump linear systems, the networked control systems are modeled as a discrete time Markovian jump linear system with two operation modes. The sufficient condition of stochastic stability for networked control systems stabilized by state feedback control is proposed in terms of linear matrix inequality. At last, a numerical example is given to verify the effectiveness of the method presented in this paper.