Abstract: This paper concerns in the active and passive hybricl control of vibration of the thin plate with Local Active Cunstrained damping Layer (LACL). The governing equations of system are formalated based on the consituative equations of elostie riscoelastic, piezaoelectric materials. Gaterkin method and GHM method are employed to transform partial differential equations into ordinary ones with a lower dimension.LQR method of classical conrrol theory is used in simulating calculation. Numeral results sbow that the active and passive hybrid control manner obtained in this paper is a better one for ribration control of the plate.