Abstract: In this paper, a three-dimensional model and a practical method are presented for calculating the dynamic response of ground friction under the action of construction vehicles. By considering the ground and soil as semi-infinite elastomers, and using Dirac-delta function and Heaviside function to describe the rectangular moving load, triple Fourier transform and order reduction method are used to solve the problem, and the algorithm is verified and the dynamic response is analyzed. The results show that the friction effect weakens the influence of the rectangular moving load on the longitudinal vibration displacement of the ground, but has no significant effect on the transverse vibration and vibration frequency distribution. When the thickness of soil layer exceeds 10 meters, the influence of vibration basically disappears, and the velocity of load movement is the key factor that affects the amplitude and frequency distribution.