Abstract: The different seismic response analysis methods and the differences of the seismic response between the jack-up platform and other structures are introduced. The HYSY 92x jack-up platform model is built with ANSYS software, and the seismic response is analyzed with static method, response spectrum method and time-history analysis method when the secondary ground and the 8 seismic fortification intensity are considered. The analysis shows that: the response spectrum method is more conservative than the static method; the seismic response of the jack-up platform obtained with the time-history analysis method depends on the selection of seismic wave; in the leg, the stress is concentrated in the chords and the sway rods; the maximum Von Mises stress in the chords of the leg is less than the material yield strength, and the maximum displacement is 0.6 m, so the platform can resist the seismic effect. This research can provide reference for the seismic design of the jack-up platforms.