Considering the significant influence of spatial correlation in long-span spatial structures, seismic response analyses of traveling wave excitations in cylindrical reticulated mega-structure were conducted under one-dimensional and multidimensional severe earthquake by using dynamic time-history method. Elastoplastic displacement and stress, stress range, distribution and development of yield members of the structure under traveling wave excitations were researched via inputting horizontal transverse wave and longitudinal wave separately firstly. Then traveling wave effects of the structure were studied under different dimensional earthquake inputting and different spans. It is shown that the response effects under traveling wave excitations differ from that under simple support excitations and the diversity changes under different earthquake inputting and different span, which proves that the effect of traveling wave excitations should be taken into account under different earthquake inputting in long-span spatial structures.