In　this　paper　we　mainly　discuss　the　exact　K-g-frames　in　the　Hilbert　spaces.　We　use　the　induced　sequence　{u(jk)}　of　a　g-Bessel　sequence　{Lambda(j)}(j　is　an　element　of　J)　and　an　invertible　operator　to　characterize　whether　{Lambda(j)}(j　is　an　element　of　J)　is　an　exact　K-g-frame　or　not,　we　also　use　the　bounded　linear　operator　K　and　l(2)　({nu(j)}(j　is　an　element　of　J))-linear　independent　to　characterize　the　properties　of　the　K-dual　sequence　of　{Lambda(j)}(j　is　an　element　of　J).