Based　on　Lagrange　interpolation　formula　and　the　post-verification　mechanism,　we　show　how　to　construct　a　verifiable　quantum　(k,n)　threshold　secret　key　sharing　scheme.　Compared　with　the　previous　secret　sharing　protocols,　ours　has　the　merits:　(i)　it　can　resist　the　fraud　of　the　dealer　who　generates　and　distributes　fake　shares　among　the　participants　during　the　secret　distribution　phase;　Most　importantly,　(ii)　It　can　check　the　cheating　of　the　dishonest　participant　who　provides　a　false　share　during　the　secret　reconstruction　phase　such　that　the　authorized　group　cannot　recover　the　correct　secret.