A surgical suture system, suture, and tissue engaging member for tissue repair and reattachment of torn tissue to a tissue substrate, medical prosthesis or medical implant. The system includes the elongated flexible suture member having a plurality of longitudinally spaced protuberances along a length thereof and one or a plurality of the tissue engaging members each of which include two closely spaced apart locking apertures sized and configured to receive one of the suture members passed therethrough or a unique single locking aperture to allow longitudinal tensioning and/or restraining movement of the suture member in only one direction through the locking apertures for suture member tightening.