The invention discloses an acceleration-based follow-up vehicle control method, which relates to the technical field of intelligent control, and comprises the steps of: 1, setting a safety distance Lsof a base station of a follow-up vehicle and a target tag, a maximum speed Vmax of the follow-up vehicle, and a time shortening amount Tv of shortening the distance between the base station of the follow-up vehicle and the target tag to the safety distance Ls, and initializing an acquisition number i=0; 2, setting i=1, and acquiring a current speed of the follow-up vehicle after a time interval Delta Ti; 3, setting i=i+1, acquiring a current speed Vt of the follow-up vehicle after the time interval Delta Ti and acquiring a distance Li between a current base station of the follow-up vehicle and the target tag; 4, calculating current acceleration An of the follow-up vehicle according to the current speed Vt of the follow-up vehicle after the time interval Delta Ti and a speed of the follow-up vehicle after the time interval Delta Ti-1; 5, calculating estimated acceleration Am of the follow-up vehicle according to the distance Li, the safety distance Ls, the current speed Vt and the timeTv; 6, controlling a motion state of the follow-up vehicle according to the Am, An, Vt, and Vmax; 7, and repeating the steps from 3 to 6.