Abstract: In this paper, the stability of stochastic cellular neural networks is studied. The cellular neural networks have become one of the hot study field internationally because of the important applications of the cellular neural networks theory. With the help of Liapunov theory, the method of matrix analysis, the mean square exponential stability of the stochastic cellular networks is studied. Then the second-order matrix Liapunov exponential estimation formula for the solution to the system is given. And the sufficient conditions of the mean square exponential stability for the solution are also given.