In this paper, we have presented the generalization of the Aki and Lamer method to make it possible to compute seismic motions of in a 3-D sedimentary basin with an irregular, interface in the vicinity of a 3-D seismic source embeded in a half-space. Examples of the calculation of seismic motions produced by a rectangular dislocation source are presented. We obtained mainly the following results from computations in frequency domain : Seismic responses due to a dislocation source in 3-D subsurface structure shows the feature that the amplitude characteristics on ground surface are principally influenced by source parameters in the lower frequency range and, in the higher frequency, those are influenced by the 3-D subsurface structure such as the shape of an irregular interface in addition to source parameters.