Abstract: The cantilever beam-plate with discontinuity in thickness is considered as a laminated plate. Based on thesemi-analytical solution for Hamilton canonical equation , the linear equation of each layer is established separately.The compatibility of displacement s and st resses on the interface between layers is employed to derive the integralequation and the characteristic equation. The main advantages are there is no rest riction on the thickness of the cantilever beam-plate and the present method can deal with the cantilever laminated plate with discontinuity and dissymmet ry in thickness. The method can also be modified to analyze the corresponding problems of stiffened shells , stiffened piezolaminated plates , and plates or shells with piezoelect ric sensor and actuator patches.