A system for manufacturing self-retaining suture is disclosed. The system includes a cutting bed for creating and supporting a suture during cutting of tissue-grasping elements at different angular positions. A cutting device is moved through the suture thread along a path which can include longitudinal, transverse, oscillating and depth components to create a desired tissue-grasping element on the surface of the suture. The path of the cutting device and the rotation of the suture relative to the cutting device are controlled so that a plurality of angularly-displaced tissue-grasping elements can be created on the suture.