Discontinuities influenced the stability of jointed rock slopes are taken as the main subject of investigation, network simulation of discontinuities in the rock mass was produced by using Monte-Carlo method. The establishment of jointed element model to carry out that the network model of discontinuities was applied to the numerical one, which made it feasible to consider the influence of discontinuities in course of analyses of the finite element method when evaluating the stability of jointed rock slopes. Finally, the method was preliminarily applied with real project of artificial slope for BaiLong nuclear power plant, it is proved that it is feasible to expand for engineering applications.