Recently,　fruitful　results　of　geotechnical　problems　solved　by　the　numerical　manifold　method　(NMM)　have　been　gained.　In　the　present　work,　the　shear　strength　reduction　technique　(SSRT)　together　with　the　phi-upsilon　inequality　is　implemented　into　the　NMM　to　carry　out　stability　analysis　of　soil-rock-mixture　(SRM)　slopes.　Several　examples　are　used　to　validate　the　correctness　and　effectiveness　of　the　developed　numerical　model.　The　results　from　these　examples　indicate　that　the　proposed　model　can　predict　the　factor　of　safety　(FOS)　of　slopes　with　high　accuracy,　and　capture　the　failure　patterns　of　slopes.　In　addition,　the　influence　of　rock　blocks　on　the　stability　of　SRM　slopes　can　be　captured.