The evaluation of the extreme hydrodynamic forces-induced dynamic response in bed is particularly important for coastal geotechnical engineers involved in the design of the foundations of marine structures at estuarine area. As the two main sorts of extreme hydrodynamic forces in Qiantang estuary, tidal bore and storm surge are considered in this work. This paper presents an analytical solution of the tidal bore induced estuary bed response. State-space method together with Laplace-Fourier transform techniques are used to solve the governing equations. The tidal bore-induced response of estuary bed can be calculated by using the matrix theory, boundary conditions and inverting integral transform. Compared with the special solution in preceding literatures, it’s shown that the proposed method has the advantage of high calculation efficiency and accuracy.