Abstract：Within a certain domain of rock mass，identification of all blocks cut by three-dimensional finite random or fixed discontinuities is a critical basic problem in jointed rock mass researches. Based on general method of spatial block topological identification with stochastic discontinuities cutting，the block identification of slope and cavern rock mass is studied. The main analysis procedures are given，including 3D discontinuities network simulation，analysis of intersecting lines between discontinuities and surfaces，analysis of primary loops，loops location analysis，isolated loops deleting，relative loop analysis，and closed block identification. The process of solving intersecting lines between discontinuities and surfaces of slope/cavern is discussed emphatically. Four block types，i.e. simple convex and concave，pit，torus and cavity which may occur in rock mass with discontinuities cutting are analyzed. On the basis of the different characteristics of simply connected loops and multiple connected loops，how to identify the different block types uniformly is discussed. Therefore the technique of spatial block identification of slope/cavern is accomplished. Based on these，with classic block theory combined，the technique of block progressive failure analysis of slope/cavern is achieved. Finally，cases of slopes and caverns are studied.
