Abstract: In order to decrease the storage cost of group key distribution protocol, a secure group key distribute protocol based on the status key tree is proposed. A method for constructing of status key tree is proposed.The particular process of group key distribution when a member joins/leaves the group is suggested. The security and performance of the protocol are analyzed.SKT decreases the storage cost group control key server（GCKS） needs from O（n） to O（log_dn）.