An　improved　NMM　(Numerical　Manifold　Method)　with　mathematical　cover　refinement　(RNMM)　is　adopted　to　investigate　the　stability　of　a　SRM　(soil-rock-mixture)　slope.　In　the　RNMM,　refined　mathematical　meshes　are　deployed　at　specified　domains　where　stress　concentration　may　occur.　Compared　to　the　TNMM　(Traditional　NMM),　the　computational　efficiency　of　the　RNMM　is　better　for　slope　stability　problems.　Besides,　the　recently　proposed　scheme　called　MLC　(mathematical　cover　systems　with　multiple　layers)　is　adopted　to　further　improve　the　computational　efficiency　of　the　RNMM.　Based　on　the　proposed　RNMM+MLC　(RNMM　with　MLC),　stability　analyses　about　two　typical　examples　including　a　soil　slope　and　a　SRM　slope　are　investigated.　The　numerical　results　demon-strated　that　1)　The　FOS　(factor　of　safety)　based　on　the　proposed　RNMM　is　better　than　that　based　on　the　TNMM;　2)　The　FOS　based　on　the　RNMM　+　MLC　is　almost　the　same　to　that　based　on　the　RNMM,　but　the　computational　efficiency　of　the　RNMM　+　MLC　is　better　than　that　of　the　RNMM;　3)　The　distribution　mode　of　plastic　zones　in　a　SRM　slope　differs　a　lot　from　a　soil　slope.