The response of an elastic half space to a realistic model of faulting is considered. A dislocation is assumed to be developed along a line of finite length and then moves nonuniformly along an inclined plane (fault) surface. Analytical solutions to the surface displacement in the form of double integrals are derived by Cagniard De-Hoop technique. Nature of wave arrivals at the surface are discussed both in case of a decelerating and an accelerating source. First morion responses are obtained near different wave arrivals by a limiting process. © 1978.