Abstract: For the purpose of multi-objective optimization of finger seal with different preference requirements in engineering application,the fuzzy comprehensive evaluation was introduced into Nash equilibrium game,and performance optimization model with uncertain payoff of finger seal was built.By using the presented model,the performance multi-objective optimization problems with uncertain preference requirement for finger seal were researched.As compared with exiting methods,the results show that the presented method can not only effectively reflect the different response requirements of optimization objectives,but also significantly reduce the decision-making difficulty of multi-objective optimization for finger seal performances.Furthermore,the finger seal structure obtained through presented multi-objective method has good performances.