In order to find the cause of the severe asphalt permanent deformation in such sections as large longitudinal slope,traffic intersections and bus stations,the response of asphalt pavement to horizontal moving load is calculated with ABAQUS and its subroutine UTRACLOAD and DSLOAD.The results show that the vertical permanent deformations introduced by both the horizontal shear force and the vertical pressure are serious and need strictly control,that both the vertical permanent deformation amplitude and the cumulative permanent deformation of the pavement under the same horizontal load decrease with the acceleration of load moving,and that the sensitivity of horizontal moving load to vertical permanent deformation well matches that of the corresponding action time.