A charged particle in the high-frequency field oscilates sinusoidally and the time-avarage external force by the field will not affect the motion of the particle. But when we consider the plasma in the uniform high-frequency field, the existence of the plasma distorts the field and plays the important part in the macroscopic motion of the plasma. The conservative force produced by the inhomogeneity of the field occurs the drift motion of the plasma. Under the condition that the field frequency is greater than the plasma frequency and that thermal pressure can be neglected, the non-steady motion of the plasma is investigated. The simultaneous equation of, equation of motion, equation of continuity and Maxwell's equations are solved by the method of finite differences and the velocity and plasma density profiles are shown graphically.