Multi-objective optimization coupled with GA-ANN Metamodeling Method and NSGAⅡ was implemented to optimize TMD installed on 10 story structure under El Centro earthquake. Layer number and nodes of ANN were optimized by use of genetic algorithm and NSGA-Ⅱalgorithm was applied to solve multi-objective optimization problem prepared by GA-ANN metamodel. It is found that the GA-ANN multi-objective optimized damper improved frequency responses and root mean square displacements of the structure without TMD by 34.7% and 76.4% under El Centro earthquake, respectively.