The technology of active constrained layer damping can realize the active control of the structure vibration, it fully combines the advantages of active control and passive damping that the advantages of small added mass, wide frequency control, fast response of active control and the properties of safe and reliable of passive damping. Based on the plate and shell theory, piezoelectric theory and viscoelastic theory, this paper take a research of dynamic modeling for the active constrained damping layer which is a three composed layer with base layer, viscoelastic layer and piezoelectric layer. On the base of finite element division, establish a seven degree of freedom of the rectangle element of ACLD plate, and get the dynamic equation of structure by using the Lagrange method. During the modeling, use of GHM method to describe the geometric deformation of VEM can effectively integrate with the FEM and greatly simplify the mechanical modeling problem. Finally, the results of calculation and simulation of classic example show that the modeling method presented in this paper is accurate, ACLD structure can effectively increase the shear deformation of the viscoelastic layer and increase the dissipation of vibration energy for controlling the vibration.