Abstract: Taking the design objectives as different game playersand calculating the factors of design variable to objective function andfuzzy clustering the design variable set is divided into the strategicspace owned by each game player. According to the characteristics of threekinds of lizard's behavior style they are defined as egoism collectivismand opportunism and endowed with each game player. For the bionic researchon lizard's survival of multiply mechanism this paper takes three kinds oflizard's behavior as game player and establishes the mapping relationshipbetween game players' payoff and objective functions. In their own strategicspace each game player takes their payoff as mono-objective foroptimization. It gives the best strategy upon other players. All the beststrategies are combined to be a game strategic set. With convergence andmulti-gaming the final game solution is obtained. Taking tri-objectiveoptimization of Baihetan arch dam shape design as example the results showthat the dam volume decreased by 16.412\times 10^4m3 which is2.38%; and the maximum tensile principal stress decreased by 0.036MPawhich is 0.31%; the strain energy of dam decreased by 0.167GJ which is4.47%; these prove that the method is effective.