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