A method for repairing a defect in the annulus of an intervertebral disc uses a port through a vertebra adjacent the disc for passage of a rivet insertion tool to place a first part of a two-part annulus repair rivet against an internal surface of the annulus adjacent the defect. A separate rivet insertion tool places a second part of the annulus repair rivet on an external surface of the annulus adjacent the defect. The first and second parts are secured together, repairing the defect.