Abstract: Static elastic-plastic analysis of gasholder structure is carried out by means of uniform loading, inverted triangle loading and basic-vibration-mode loading. 8 seismic waves were reasonably selected and dynamic time history analysis was employed to fulfill the dynamic elastic-plastic analysis of it. By comparing the results of static and dynamic elastoplastic analysis, it is shown that the maximum roof displacement is obtained by using the basicvibration-mode loading. With this loading mode, the dynamic elastoplastic performance of gasholder structure under initial stress is analyzed. According to the analysis data, the calculating formula of the roof displacement of gasholder structure under rare earthquake is fitted. The validity of the formula is verified by ANSYS calculations.