An anchoring system for securing suture to bone, comprising: an implant comprising a distal tip having a suture securing portion and having external surface features for securing the implant within surrounding bone, and a proximal member which is movable distally to engage said distal tip and to fix the suture relative to the bone; an inserter which is removably connectable to a proximal end of said implant; wherein the suture securing portion is a suture eyelet enabling a suture to pass through the eyelet from one side to the opposite side of the distal tip; the implant further comprising a suture channel on an external surface of said distal tip for permitting the suture to slide freely along said channel for tissue tensioning when the distal tip is placed in a bone socket, wherein said proximal member consists of a right-handed threaded screw member comprising an axial bore, said inserter comprises an inserter tip which is configured to slide through the axial bore of said screw member, said bore and said inserter tip are configured to allow torque to be transmitted from said inserter tip to said screw member, and said inserter further comprises an insertion sleeve, moveable axially relative to the insertion tip, for pushing said proximal member distally over said inserter tip wherein said inserter tip further comprises a threaded distal tip which is adapted to engage a corresponding left-handed threaded hole in a proximal end of said distal tip of said implant, whereby the screw member is configured to securely compress the suture against the bone as the proximal member is rotated clockwise into the bone. an implant comprising a distal tip having a suture securing portion and having external surface features for securing the implant within surrounding bone, and a proximal member which is movable distally to engage said distal tip and to fix the suture relative to the bone; an inserter which is removably connectable to a proximal end of said implant; wherein the suture securing portion is a suture eyelet enabling a suture to pass through the eyelet from one side to the opposite side of the distal tip; the implant further comprising a suture channel on an external surface of said distal tip for permitting the suture to slide freely along said channel for tissue tensioning when the distal tip is placed in a bone socket, wherein said proximal member consists of a right-handed threaded screw member comprising an axial bore, said inserter comprises an inserter tip which is configured to slide through the axial bore of said screw member, said bore and said inserter tip are configured to allow torque to be transmitted from said inserter tip to said screw member, and said inserter further comprises an insertion sleeve, moveable axially relative to the insertion tip, for pushing said proximal member distally over said inserter tip wherein said inserter tip further comprises a threaded distal tip which is adapted to engage a corresponding left-handed threaded hole in a proximal end of said distal tip of said implant, whereby the screw member is configured to securely compress the suture against the bone as the proximal member is rotated clockwise into the bone.