Applying LagrangeGermain’s theory of elastic thin plates and Hamilton formulism to study the dynamics of cantilever plates and its vibration control problem, a solution of the problem was given. Dispersion equations of propagation mode of strip plates were deduced from eigenfunction expansion method. The mode control was applied to study the active vibration control of the strip plates, and the control effect was compared to the EulerBernoulli beam. At last, the results were analyzed and discussed.