In　this　paper,　we　present　new　types　of　equalities　and　inequalities　for　K-g-frames　in　Hilbert　spaces.　Our　equalities　and　inequalities　for　K-g-frames　are　different　from　previous　ones　for　g-frames　or　fusion　frames,　owing　to　the　fact　that　the　bounded　linear　operator　K　and　a　parameter　lambda　are　involved,　and　thus　allowing　several　known　results　to　be　derivable　from　our　results　by　proper　choices　of　K　and　lambda.