In　this　paper　we　mainly　discuss　the　exact　K-g-frames　in　the　Hilbert　spaces.　We　use　the　induced　sequence　uj　k　of　a　g-Bessel　sequence　Λj　j∈J　and　an　invertible　operator　to　characterize　whether　Λjj∈J　is　an　exact　K-g-frame　or　not,　we　also　use　the　bounded　linear　operator　K　and　l2(Vjj∈J)-linear　independent　to　characterize　the　properties　of　the　K-dual　sequence　of　Λj　j∈J.　©　2017,　Springer　International　Publishing.