A suture clip includes a disc body having at least two adjacent portions joined by a hinge at one end and a latch at another end. Suture engagement surfaces are formed on a first and second portion of the disc body so that the first and second suture engagement surfaces can close sufficiently tightly to immobilize a pair of suture lengths therebetween when the two portions are closed and held together by the latch. A suture clip applier holds a plurality of such suture clips typically in a magazine, an open configuration where the suture engagement surfaces are held apart. Single suture clips are advanced by an advancement mechanism over a pair of suture ends having a midsection in tissue. A closing mechanism closes and latches the first and second portions of the disc body together to capture the pair of suture ends therebetween.