A method for securing soft tissue to bone which does not require the surgeon to tie suture knots to secure the tissue to the bone. Suture is passed through the graft at desired points. A cannulated plug or screw is pre-loaded onto the distal end of a driver provided with an eyelet implant at its distal end. Suture attached to the graft is passed through the eyelet of the implant located at the distal end of the driver. The distal end of the driver together with the eyelet implant is inserted into the bone. Tension is applied to the suture to position the graft at the desired location relative to the bone. The screw or plug is advanced into the pilot hole by turning the interference screw or tapping the plug until the cannulated screw or plug securely engages and locks in the eyelet implant, so that the cannulated plug or screw with the engaged eyelet implant is flush with the bone. Once the screw or plug is fully inserted and the suture is impacted into the bone, the driver is removed and any loose ends of the sutures protruding from the anchor site are then clipped short.