Abstract: Karstified rock is a special type of rock mass, in which so many solution caverns are developed under influence of some natural factors such as water flowing. In this paper, mathematic description and computer display of three-dimensional geological mass are provided as a carrier of the karstified rock. The determination of the shape and size of ellipsoid, the generation of composite cavern, the mathematic modeling of three-dimensional random caverns and the mathematic description and computer display of the deterministic cavern are then discussed in detail. Mathematic modeling for three-dimensional random caverns in karstified rock suggested in this paper provides visualizational means for assessment of solution ratio and permeability of karstified rock and can effectively guide computer display programming for three-dimensional random caverns.