A numerical method is presented for computing ground surface displacements in radial and transverse directions that are induced by a harmonic horizontal point force acting on a three-dimensional layered elastic half-space. The contribution of the residue of the Rayleigh and Love poles and the branch line integrals, i. e., that of surface and body waves, to the ground displacements is computed for two-layered media. Its variation with the S-wave velocity ratio and Poisson's ratio of the media as well as the distance and frequency of the source is examined.