A bone suture assembly including a flexible sleeve, at least one lockable suture associated with the flexible sleeve and having a series of mutually spaced suture engagement elements extending along at least a portion thereof and at least one suture locking element defining a loop which can be lockably tightened in locking engagement with a corresponding one of the at least one lockable suture by application of tension to the at least one suture locking element, without requiring knotting thereof.