In　this　work,　we　consider　the　robust/soft-capacitated　2-level　facility　location　problems.　For　the　robust　version,　we　propose　a　primal-dual　based　-approximation　algorithm　via　construction　of　an　adapted　instance　which　explores　some　open　facilities　in　the　optimal　solution.　For　the　soft-capacitated　version,　we　propose　a　-approximation　algorithm　via　construction　of　the　associated　uncapacitated　version　whose　connection　cost　is　re-defined　appropriately.