Proceeding from the total potential energy of frame-shear wall structure,the Hamiltonian dual system of coordination analysis is established according to the parallel Timoshenko beam beam model.The layer element stiffness matrix is deduced according to interval mixed energy matrix which is based on the precise integration method of the double end boundary value problems,and then the global stiffness matrix of structure can be set up by according to the finite element stiffness integration method.The dynamic time history analysis is eventually processed on the frame-shear wall structures based on the precise integration method of initial value problems,and the relevant program is programmed with the Matlab software.The reliability and feasibility of this method is tested by a 19-floor frame-shear building,and the result shows that the most story drift angle of the building is 1/1 329 under frequent earthquake action,which indicates the whole building is in the elastic working state.