Based on the elastic wave equation for a fluid-saturated porous medium, in this study, we analyzed the reflection of an SV wave at the free surface of saturated soils. Then, under incident SV waves, we calculated the displacement, velocity, acceleration, and stress responses in the free field of saturated soils. Based on the analytical solutions to these responses, we established a static-dynamic coupling finite element method model to consider the following factors:(1) We used a Duncan-Chang constitutive model during the initial stress field balance step and the Davidenkov constitutive model during the earthquake input step. (2) We used a viscous-spring artificial boundary for saturated porous media and applied some springs and damps on the artificial boundary to simulate energy propagation in saturated soils. (3) We generated the wave input by the equivalent load of the earthquake on the node of the artificial boundary. (4) We considered soil elements as 4-node plane strain pore pressure elements (CPE4P). We then compared the numerical results with our analytical solutions and drew the following conclusions:(1) No vertical displacement response appears under vertical and grazing incidences of SV waves. (2) Peak horizontal displacement response occurs when the incident angle of an SV wave is about 45°. (3) The peak vertical displacement response is reached when the incident angle of an SV wave is about 60°. The above conclusions show good agreement with the analytical results. As such, the proposed numerical model provides a good basis for building soil-structure dynamic interaction models.