The authors have developed 3D analysis computing program for the coupled FS-DD method which considers joint slip and joint separation. In order to confirm the applicability of the developed methods, the model of rectangular prism excavation beneath the horizontal joint and the model of the large underground excavation (Super Kamiokande) was used as a numerical example and a case study, respectively. In this paper, the numerical procedure and the analyzed result of the numerical example and the case study are presented.