Based　on　the　frame　theorem　of　Hilbert　spaces　and　by　using　the　method　of　K-g-frames　induced　K-frames　and　K-g-frames　operators,　the　sum　of　finitely　many　K-g-frames　was　addressed,　and　some　sufficient　conditions　for　the　sum　of　finitely　many　K-g-frames　was　obtained　to　be　a　K-g-frame.　The　results　provide　us　with　a　new　method　to　construct　K-g-frames.　©　2017,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.