The developments and research status of seismic vibration control of longspan spatial structures using multiple tuned mass damper (MTMD) are introduced in this paper. The dynamic equation of reticulated shell with MTMD vibration control system is derived and solved. Based on controlling selected natural modes, the design procedure of distributed multiple tuned mass damper (DMTMD) seismic control method of the single layer spherical reticulated shell is proposed. A numerical model of single layer reticulated shell is built. By the method of timehistory analysis with “El Centro seismic waves”, the dynamic responses of the reticulated shell structure equipped with different seismic vibration control schemes are computed, analysed and compared under horizontal and vertical seismic excitations. The numerical results show that the proposed seismic vibration control method is efficient in reducing dynamic response of reticulated shell structures. Beyond that, some suggestions for seismic vibration control optimization design are summarized.