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Abstract: This paper is concerned with the stability of -dimensional stochastic differential delay systems with nonlinear impulsive effects. First, the equivalent relation between the solution of the -dimensional stochastic differential delay system with nonlinear impulsive effects and that of a corresponding -dimensional stochastic differential delay system without impulsive effects is established. Then, some stability criteria for the -dimensional stochastic differential delay systems with nonlinear impulsive effects are obtained. Finally, the stability criteria are applied to uncertain impulsive stochastic neural networks with time-varying delay. The results show that, this convenient and efficient method will provide a new approach to study the stability of impulsive stochastic neural networks. Some examples are also discussed to illustrate the effectiveness of our theoretical results. [Copyright &y& Elsevier]