In this paper, the problem about establishing model of adaptive control in the optimal fishing strategy based on quantum control technique is proposed. An equation satisfied by fish stocks in a fishing conditions is obtained. Based on the stability analysis the question how to control fishing to the maximum sustainable yield and economic benefits is presented. The model of fish stocks growth in a fishing condition is established on calculus of variations. In the changes of fish prices, fishing cost, the inflation rate and bank loans, the fishing quantity is adjusted to obtain the maximum economic benefits through adaptive control methods and quantum control techniques. Analysis results have shown the validity of the proposed method.