Abstract: A new three dimensional model for the analysis of transient ground water now in a stochastic fracture network of a fractured rock mass is presented in this paper. The contents of paper include the characterizing of a rock fracture system and its description in terms of stochastic fracture network, the three dimensional mathematical model of transient now in a fracture network and its finite element solution, the identification of intersections (points and lines) between fractures, the distribution of a well discharge in different fractures and the water drainage problems, and the iteration method for solving a non-linear flow model. Finally, aim at the axially symmetric well flow in fracture network and the drainage conduit problem in arbitrary distributed fracture system, applied computations of the model were conducted, thus verified the effectiveness of the model and its algorithmic routine.