The seismic design of a floating wind turbine is an important aspect to ensure the structural integrity and safety of the platform during seismic shaking. This research innovatively conducts a coupled multi-directional seismic analysis of a tension leg platform (TLP) wind turbine that integrates advanced soil models, accounting for the influence of radiation and soil damping. Tension leg platforms (TLPs) show increased vulnerability to pulse-like motion as compared to non-pulse records. This susceptibility is primarily attributed to the presence of large velocity pulses. Moreover, the standard deviation from the mean response is observed to increase with PGA, showing the necessity to increase the safety margin in high seismic zones. This study assesses the potential damage and risk during seismic loading, guiding targeted risk mitigation and design strategies that enhance safety and minimize potential loss.