Aiming at the problems of low tracking accuracy, slow response speed and easy jitter in the track tracking and control method of construction vehicles, a robust nonsingular fast terminal sliding mode control method is proposed. First, the kinematic model and posture error model of the construction vehicle are established. Considering the singularity problem of the traditional terminal sliding mode, an integral non-singular fast terminal sliding mode controller is designed, so that the system error can be quickly converged while suppressing the jitter of the controller. Secondly, considering the problems such as the slow approaching speed of the traditional approach law, the linear velocity and angular velocity control laws are designed based on the reverse footwork, and the combination of the fal function and the inverse hyperbolic sine function is selected to design the approach law, which improves the stability and approaching speed of the system and weakens the jitter vibration of the sliding mode control. Finally, the control effect of the traditional non-singular terminal sliding mode controller is compared and simulated in Matlab software. Experimental results show that compared with the traditional nonsingular terminal sliding mode controller, the nonsingular fast terminal sliding mode control strategy proposed in this paper has obvious advantages in tracking accuracy and robustness of different movements.