Fusion　frames　are　widely　studied　recently　due　to　its　many　kinds　of　applications.　In　this　paper　we　focus　on　the　erasure　of　a　fusion　frame;　we　use　a　bounded　linear　operator　to　equivalently　characterize　a　given　fusion　frame　to　be　robust　to　an　erasure　of　any　numbers　of　elements;　it　turns　out　that　our　result　is　more　general　and　covers　some　important　results　previously　obtained　by　Asgari,　Casazza,　and　Kutyniok.　We　also　present　a　more　general　equality　result　for　any　fusion　frame　(not　restricted　to　be　tight),　which　improves　the　fusion　version　of　a　theorem　obtained　by　Li　and　Sun.