The steady dynamic response of saturated soil was studied by means of Hankel transform. The liquid's inertia is considered, i. e. there is not any hypothesis. By using Hankel integral transform method, the solution of horizontal harmonic force applied to the interior or the surface of saturated soil is obtained. The general solutions of the Biot dynamic equations in frequency domain are established through the use of Hankel integral transforms technique. Utilizing the above-mentioned general solution, the boundary conditions of the surface of half-space and the continuous conditions at the plane of horizontal force, the solutions of the boundary value problem can be determined. By the numerical inverse Hankel transforms method, the stress and the displacement of harmonic horizontal force are obtainable. In the end, the numerical method of inversion of Hankel transform was given.
