The Beam-on-Dynamic-Winkler-Foundation (BDWF) model was utilized to determine the lateral dynamic response of a pile with finite length in a viscoelastic subgrade. An analytical solution was obtained with the simple form in the time domain for a laterally cyclic force applied at the pile head. Based on the solution

the transient response of the pile loaded by semi-sine force was acquired with superposition principle. At the same time

the dynamic impedance parameters at the head of pile were also obtained through some straightforward algebra. Then by the analysis of the amplitude-frequency and phase-frequency curves for the steady-state motion

the influence of dimensionless stiffness coefficient and damp coefficient on resonance frequency and peak values during the resonance was mvestigated. Finally

the influence of tip conditions of pile on the lateral dynamic response was also discussed. The theory developed herein presents an analytical method for the dynamic analysis of a single pile and may be used as a preliminary reference in engineering design.