For jacket supported offshore wind turbines (OWTs), numerical calculations and analysis were performed to investigate the dynamic responses of the whole structures under extreme cyclic loadings of typhoon condition. The series of pile-soil interaction models (p-y, t-z, Q-z) in the code of American Petroleum Institute (API), an elastoplastic t-z model considering the cyclic degradation of strength and stiffness axially in the pile-soil interface as well as an elastoplastic p-y model representing the lateral behaviors were used in the numerical simulations. Results show that the largest proportion of the anti-overturning moment at the mudline of jacket supported OWT is provided by the t-z spring. A negative contribution to the anti-overturning moment may be caused by the p-y spring, and the main function of p-y spring is to resist the horizontal loadings. The contribution from the Q-z spring is small and negligible. The rotation response at the top of jacket foundation may increase obviously with the consideration of the cyclic degradation effect of t-z spring. Considering the coupling degradation effects of the t-z and p-y springs, the translation of the jacket foundation will be more obvious and the displacement response at the top of the foundation will increase significantly. Thus the effects of the pile-soil cyclic degradation should be considered adequately in the engineering design.