Abstract: The stability of a slope in Datang Lueyang Power Plant is analyzed.This study adopts the strength-reduction theory,FLAC/SLOPE finite-difference program,elastic-plasticity Mohr-Coulomb model,as well as its failure criterion.The stability factors obtained from the study are compared with those obtained through the conventional Bishop and Janbus methods of slices.The results show that the finite-difference and strength-reduction method is more convenient and reasonable in the analysis of slope stability.It can reflect the actual slope state,and give stability factors that are closer to the actual ones.