Multi-objective optimization using response surface methodology-based surrogate model was employed to find optimal design parameter of TMD installed on structure under the El Centro earthquake. It is found that the RSM based weighted multi-objective optimized damper improves frequency responses and root mean square displacements of the structure without TMD by 31.6% and 82.3% under El Centro earthquake, respectively, and has an equal or higher performance than the conventionally designed dampers with respect to frequency responses and root mean square displacements and when applied to earthquakes.