Construction schemes for long-span floating suspension bridges based on tension leg platforms have high application prospects in high water depth and soft soil environments. Due to their weak foundation stiffness, vehicle loads may induce significant vibrations in bridges. This phenomenon can be mitigated by adjusting the parameters of the tension leg platform. However, there is limited research on this novel long-span floating bridge under vehicle loads. However, the feasibility and applicability of such schemes need validation. This paper utilized finite element software to compute the response of a floating suspension bridge model under the vehicle load. The effect of changes in the submerged depth and cable inclination angle on the response were investigated using methods such as modal analysis. The study revealed that adjusting the parameters of the submerged depth and cable inclination angle primarily alters the first two vibrational modes, significantly affecting lateral responses. Increasing the submerged depth of the platform and adding inclined tension leg cables effectively reduce the vibrations under the vehicle load. Additionally, the optimal modification of the cable inclination angle requires specific analysis. Therefore, during the design phase, relevant tension leg platform design parameters are crucial for finding the most suitable configuration, which can enhance the overall feasibility and applicability of floating bridges under the vehicle load.