Abstract: By means of Fourier integral transform, the steady-state response in i ntegral form of an elastic half-space subjected to a moving point load was obta i ned. A procedure was then proposed to calculate the integrals for subsonic load velocity. Not only the interior response but also the surface displacements coul d be calculated by this procedure. The effects of load velocity,depth and distance of observation point etc. on the response of the elastic half-space w ere discusse d in detail. The parametric studies conducted here give an insight int o the mechanism of wave propagation in an elastic half-space under moving load s.