The global asymptotical stability for a class of stochastic delayed neural networks(SDNNs)with Markovian jumping parameters is considered.By applying Lyapunov functional method and It(?)’s differential rule, new delay-dependent stability conditions are derived.All results are expressed in terms of linear matrix inequality (LMI),and a numerical example is presented to illustrate the correctness and less conservativeness of the proposed method. The global asymptotical stability for a class of stochastic delayed neural networks (SDNNs) with Markovian jumping parameters is considered. By applying Lyapunov functional method and It (?) ’S differential rule, new delay-dependent stability conditions are derived. in terms of linear matrix inequality (LMI), and a numerical example is presented to illustrate the correctness and less conservativeness of the proposed method.