A graft harness for securing a ligament in a bone tunnel takes the form of a shaped plug having a proximal end and a distal end. A radial groove is formed in the distal end of the plug which accepts a looped ligament graft. A suture passageway formed through the plug transverse to the groove accepts a length of suture. The proximal end of the plug features a concave configuration adapted to accept the distal end of an interference screw. A ligament graft is secured in a bone tunnel using the graft harness by seating the looped graft within the groove to form a harness/graft construct, passing a length of suture through the suture passageway, and drawing the harness/graft construct into the tunnel using the length of suture looped through the suture passageway. The graft is secured primarily using an interference screw which engages the concave proximal end of the harness. The harness provides secondary fixation of the graft in the bone tunnel.