Abstract: An analytical approach was used to investigate the effect of the rail rigidity on track vibration due to a high speed moving train.The rails were described by introducing the Green function for an infinitely long Euler beam,the sleepers were represented by a mass,and the ballast was placed under the sleepers.By employing the double Fourier transforms,the governing equations of motion were solved in the frequency-wave-number domain.The time domain responses were evaluated by the inverse Fourier transform computation.It was shown that dynamic responses of the soil medium were considerably affected by the rail rigidity when the velocity of train was high.