Based on the elastic foundation beam theory， the mechanical model for the seismic response of the vertical shaft is estab lished. The shaft primary lining and secondary lining are simplified as Euler Bernoulli beams and the normal interaction between the primary lining and secondary lining is simulated by using uniformly distributed springs. The differential governing equations of the shaft under the horizontal seismic excitation are derived. The rapid solution of the horizontal seismic response of the primary lining and secondary lining is achieved through the distributed transfer function method and the correctness of the analytical solution is ver ified by comparison with the finite element numerical simulation method. The peak seismic response at the top of the shaft is para metrically analyzed from the perspectives of elastic foundation stiffness， secondary lining stiffness， shaft outer diameter， and stiff ness of the elastic connection layer between the primary and secondary linings， respectively. The results show that the peak seismic response at the top of the secondary lining is greater than that of the primary lining. With the increase of the elastic foundation stiff ness， the peak response of the top of the primary lining and the secondary lining decreases. The increase of secondary lining stiff ness leads to the obvious increase of peak response at the top of secondary lining. With the increase of the shaft outer diameter， the peak response of both the primary and secondary linings increase significantly. When the elastic connection layer stiffness increases， the peak response of the primary lining increases slightly， but the peak response of the secondary lining decreases significantly.