Abstract: A method is proposed for the multi-objective optimization of a ring shape tuned liquid damper (TLD) arranged on high-rise structures. Firstly, the dynamic model for high-rise structures with ring shape TLD is established, and its computation program is then coded. Secondly, the independent desirability functions are constructed by using Sigmoid function, and the composite desirability function is composed of them by using linearly weighing. Then on the basis of Genetic Algorithm (GA), a satisfaction optimal design is performed, in which the geographic parameters of ring shape TLD are defined as the design variables, and the composite desirability considering both the structural response and damper outputs as the optimization objectives. In the end, the method is coded, and the optimum design of the ring shape TLD arranged on a self-standing steel chimney under wind loading is presented. The study indicates that the method is an optimal algorithm that can efficiently obtain a set of design parameters which satisfy both project requirements and economical need. And the method is less sensitive to the value of weight coefficients than the normal optimal methods, so the difficulty of choosing weight coefficients is reduced in multi-objective optimization.