In structural damping design， it is a crucial issue to find the best arrangement of dampers to maximize the damping effect.At present， most of the damper distribution schemes can better meet the control objective of single response index， such as story displacement or floor acceleration. However， there is still a lack in coordinating and optimizing multiple performance objectives. In this paper， the damping system with linear viscous dampers under seismic action is derived by state space description method. The structural dynamic responses are solved. The gene-reserved genetic algorithm is used to encode the damping system. And the parallel selection method is introduced to deal with the two performance objectives， which can achieve the double-objective synchronous optimal placement of dampers. Compared with the existing literatures of multi-story and high-rise frame damper distribution optimization scheme， the double-objective synchronous optimization method can improve the damping effect of original structure response target， such as story displacement. At the same time， the damping effect of other response can be significantly improved， such as floor acceleration. The damping structure has more superior comprehensive structural performance. Therefore， the double-objective synchronous optimization method can effectively deal with the double-objective optimization problem for dampers. It has high practical value.