Based on dynamic Winkler model and fictitious soil pile model to consider the relative sliding at pile-soil interface and the propagation effect of soil beneath pile toe， respectively， the dynamic interaction system for a floating pile with incomplete bonding condition embedded in three-dimensional continuum is established. The separation variable method is introduced to solve the threedimensional soil displacement control equation. Combined with the boundary conditions of soil surface and bedrock， the general solution of soil displacement is obtained. Considering the relevant parameters of the dynamic Winkler model as the boundary condition of the pile-soil interface， the longitudinal vibration characteristics of the pile are solved analytically in the frequency domain，and the obtained frequency domain analytical solution is extended to the time domain. The time domain response of the velocity is solved by using the inverse Fourier transform （IFT）. Extensive parametric analyses are performed to investigate the effects of incomplete bonding condition at pile-soil interface and parameters of fictitious soil pile. The results show that the assumption of complete coupling of pile-soil interface may overestimate the restraint effect of pile surrounding soil on pile， which has an adverse impact on the anti-vibration design of pile foundation and the identification for reflected signal of pile toe. In addition， for the longitudinal vibration of floating bearing pile， it is reasonable and necessary to use the fictitious soil pile model to describe the soil action under the pile.