Facility　location　problem　is　one　of　the　most　important　problems　in　the　combinatorial　optimization.　The　multi-level　facility　location　problem　and　the　facility　location　with　capacities　are　important　variants　for　the　classical　facility　location　problem.　In　this　work,　we　consider　the　multilevel　facility　location　problem　with　soft　capacities　in　the　uncertain　scenario.　The　uncertainty　setting　means　the　location　process　is　stochastic.　We　consider　a　two-stage　model.　The　soft-capacities　setting　means　each　facility　has　multiple　capacities　by　paying　multiple　opening　cost.　The　multi-level　setting　means　the　client　needs　to　connect　to　a　path.　We　propose　a　bifactor　(1/alpha,6/(1-2　alpha))-approximation　algorithm　for　the　stochastic　multi-level　facility　location　problem　(SMLFLP),　where　alpha　is　an　element　of(0,0.5)　is　a　given　constant.　Then,　we　reduce　the　stochastic　multi-level　facility　location　problem　with　soft　capacities　to　SMLFLP.　The　reduction　implies　a　(1/alpha+6/(1-2　alpha)-approximation　algorithm.　The　ratio　is　14.9282　when　setting　alpha=0.183.