Long-period ground motion is a long duration ground motion formed by superposition and amplification of long period surface waves. Large sedimentary basin and long distance large magnitude earthquake are its inoculation conditions. Damage of super high-rise buildings subjected to long-period ground motions is obvious. This paper briefly introduces the seismic damage characteristics of long-period ground motion, the distribution characteristics of the domestic seismic belt and large sedimentary basin. The research results and concern of the domestic and foreign on long-period ground motion are summarized. The method to deal with long period ground motion appearing in China is proposed. The formation and application of checking long-period ground motion and the response control process of super high-rise building are discussed. The results show that many cities in China possess the inoculation condition long of period ground motion. The domestic engineering circles mainly concern about the long period components of ground motion rather than long-period ground motion itself. For the super high-rise buildings designed according to the existing codes, it is a feasible and necessary to analyse their responses subjected to long period ground motion checking waves.