Abstract: Taking vibration characteristics of thin plate for example,the transfer matrix method for 2-dimension system is developed. On the basisof the transfer matrices of lumped mass and mass less beam, the transfermatrix of sub-structure which is arranged in column is acquired. By means ofthe transfer matrix method for 2-dimension system, the overall transferequation of plate can be obtained easily, then the characteristics equationunder arbitrary boundary condition can be got. Numerical solution ofvibration characteristics of thin plate with transverse vibration arecomputed under two boundary conditions. The computational results show thatthe transfer matrix method can be applied to dynamics problems of twodimension system similar to thin plate, and the dynamic equations of globalsystem is not indispensable.