A method and apparatus for transecting soft tissue, such as a ligament, and more particularly, the transverse carpal ligament. An hollow introducer needle and a threadlike cutting element enable the method to performed in a minimally invasive manner. The cutting element is routed into position about the target ligament such that the cutting element both enters and exits the body from the same side of the ligament. The substantially smooth exterior surface of the cutting element serves to provide for a kerf-less cut.