Abstract: The numerical method of the elastic wave guide problem of composite materials is studied. The wave guide problem was introduced to a Hamiltonian system. In the Hamiltonian system, the displacement vectors and stress vectors were combined to be the whole state vectors, and the system was a hybrid system. In the hybrid system, the dynamic hybrid element was deduced, and a new semi-analysis finite element method in the Hamiltonian system was founded. This method is given in detail through the solution of layered media wave guide problems in a strip domain and its broad prospect is embodied.