A ligament graft replacement system (10) having an anchor assembly (16) on one end. The anchor assembly (16) includes an insert member (18), a threaded sleeve (22) and a rotatable ring (20) to which the graft (24) is attached. A harvested or synthetic graft (24) used as a replacement for a torn ligament or tendon is secured to the rotatable ring (20) by sutures (46) and the anchor assembly (16) is screwed into a tunnel (26) drilled in a bone or bone-like structure. The anchor assembly (16) includes a hexagonal opening (36) through its length for receiving a hex driver (48) in its trailing end (36) or its leading end (34). The anchor assembly (16) also preferably has a self-tapping thread (30) on its outer surface. The rotatable ring (20) is secured over annular flange (40) at the trailing end of the threaded sleeve (22) and has a plurality of openings or slots (50 ) to which the sutures (46) are attached.