The codes of various types of seismic design in China and abroad are introduced. We compare the range of the time history analysis,the number of time history groups and the ratio of groups of natural history,the peak value of the design ground motions and the characteristics of response spectrum,the duration and correlation of the design ground motions,the similarities and differences of seismic design codes about ground motion time history. In China's current “Code for Seismic Design of Buildings” is given as an example,and meets the requirements of the relevant design ground motion time history. Some problems of the design ground motion time history which need paying attention to are also discussed in order to provide references for determining the design response spectrum for seismic safety evaluation in China.