Abstract: With the development of economy and society,the conflict between water supply and demand aggravates. The water right system needs to be set up in order to control the overuse and unlimited demand of water resources. The allocation of water right is an essential part of the establishment of the water right system that should be established early. After classifying the all ocation principles of water right of use suggested by some experts in China,the leading principles are set out as follows:the ecological water guarantee,the prior appropriation,the basic water guarantee,the equity principle and the high efficiency principles. Based on these all ocation principles,the model on water right of use allocation is set up,using Genetic Algorithm (GA)to work out the multi-objectively non linear model. The convergence and stability of GA is analyzed by taking the Yellow River basin as an example. The allocation results of the surface water right of use are compared with "87-water-allocation-scheme" for the Yellow River basin.