A learning algorithm of Hopfield neural network, which bases on Chaos and Tabu search optimization algorithm(CTSA) is presented. It forms the Hopfield neural network by dealing with inequality of weight of network. Using the virtue of CTSA, which includes the ergodicity of Chaos and the memory of Tabu search. This algorithm can avoid the local optimal solution effectively. It can also find several optimal solutions.The experimental results demonstrate the effectiveness of the algorithm.