Abstract: Scattering of SH wave and ground motion in an elastichalf space containing an elastic cylindrical inclusion and a crack locatedat any position and direction are studied using Green's function, complexfunction and multi-polar coordinate system. A suitable Green's function isfirstly constructed to obtain the fundamental solution of the displacementfield for a half space (surface) with an elastic cylindrical inclusion. Inaddition, an out-plane harmonic line--source-loading is at an arbitrarypoint in half space. Meanwhile, a crack located at any position anddirection can be built in half space with crack-division technique. Thedisplacement field and stress field are obtained with elastic cylindricalinclusion and crack, and the ground motion above the elastic cylindricalinclusion is also discussed.