Abstract: By considering that the strategy of Viscous Damper (VD) does not behave well in reducing the seismic response of secondary systems, a new strategy termed as Shared Mass Damper (STMD) is introduced in the paper. In the strategy, a shared mass connected by viscous dampers is placed between two adjacent secondary systems, dissipating earthquake energy by the relative displacement between the secondary systems and the shared mass. Meanwhile, two adjacent secondary systems are made to vibrate coordinately so as to avoid the pounding. The new strategy of Shared Mass Damper (STMD) can work well, especially when the frequencies of two secondary systems are close to each other. The effects of two strategies as well as the influencing factors of STMD and VD on reducing the seismic response of secondary systems are studied.