Abstract: To address the issues of strong independence and low generality of theoretical analysis methods for hinged floating bridges and continuous floating bridges, an elastic hinged multi-floating body model suitable for both hinged and continuous floating bridges is established through comprehensive application of the Kane method, the Euler beam theory and the potential flow theory, and the corresponding solution procedure is developed in this paper. The model validation is completed by comparing the observations and the predictions from relevant literature as well as the predicted results based on the hydrodynamic analysis software. The influences of the elastic stiffnesses at the hinges on the dynamic responses of the system in calm water and wave conditions are investigated based on some case studies. The related calculation results indicate that increasing the elastic stiffnesses at the connections could nonlinearly reduce the motion responses of the system, but it will also significantly increase the bending moment at the connectors of the system, which is more pronounced when the wave frequency is relatively low. The amplitudes of heave and pitch motions of the pontoons at both ends decrease nonlinearly with the increase of wave frequency, and the motion amplitudes of the first pontoon are always greater than those of the others. In practical engineering applications, more attention should be paid to the motion response of the first pontoon of the floating bridge, and the overall dynamic characteristics of the floating bridge could be optimized through designing the elastic stiffnesses at the hinges appropriately.