The method of applying evolutionary strategies to converge Hopfield neural network is proposed in this paper. Genetic search of evolutionary strategies(ES) consists of three consecutive processes. ES performs local search in some small domain in the first process

and the search domain grows in the second process. Then ES performs the global search in whole domain in the third process. We use the dynamic equation to indicate the ES search direction to speed up the local search speed obviously. The ES search domain is small in the first process

and the second and the third process are based on the optimization results of their previous processes

therefore the convergence speed of the proposed method is much faster and it needs less memory space.