This paper presents a 3D-numerical modelling technique for underground excavations in a faulted rock mass. The displacement discontinuity method is used to solve the differential equation of the problem. A presentation of this method is given in the first part of the paper. The second aspect of this paper is concerned with the verification of the new code by comparison with the results obtained from commercial numerical codes UDEC (distinct elements) and CESAR (finites elements). Case study involving a coal mining panel excavation in a faulted rock mass is presented to demonstrate the application of the code to practical mine problems.