A simplified placement system and method for a tissue graft anchor by which a surgeon may introduce one or more sutures into a socket in a boney tissue, apply a precise amount of tension to the sutures to advance a soft tissue graft to a desired location, and then advance the anchor into the socket, preferably while maintaining the requisite pre-determined suture tension and without introducing spin to the suture is disclosed. Alternate embodiments of the anchor placement system and method of the present invention may forego tensioned sutures in favor of direct engagement with the soft tissue graft, whereby an end or a portion of the graft is trapped between an outer surface of the anchor and the boney surface of the wall of the socket such that friction force between the inserted portions of graft and socket maintains the position of graft relative to socket and bone. In either case, particularly preferred embodiments allow for the one-handed operation. Particularly preferred embodiments allow relative axial movement between the inner tensioning device and outer driver device to be optionally physically constrained, for example by means of cooperating and/or compressive elements disposed in the respective hub and handle portions.