To improve the performance of the vibration control for an axially moving system under high ac-/deceleration with the system parametric uncertainty, an adaptive boundary controller is designed to suppress the vibration displacement of the system combining with the Lyapunov theory, the adaptive control technique and the ??-curve ac-/deceleration method. With the proposed adaptive boundary control, the control-spillover phenomenon can be avoided, and the system parameter uncertainty can be compensated. The stability of the closed-loop system is demonstrated and the uniform ultimate boundedness of the closed-loop signals is ensured. Simulation results show the effectiveness of the proposed adaptive boundary control method．