A fracture mechanics approach has been proposed in this study to predict rock slope stability mainly caused by stress concentration. A finite element program, ANSYS, has been adopted in this study. The transient analysis module of ANSYS makes it possible to predict the deformation of a rock slope under the dynamic excitations. Sensitivity studies have been carried out. A major rock slope near the Tsao-Ling area as a case study was accordingly investigated. The result using a limit equilibrium program, STABL5, has been compared with the fracture mechanics approach.