In this paper we present our initial work on simulating suture and suturing using mass-spring models. Various models for simulating suture were studied, and a simple linear mass-spring model of the suture was determined to give good performance. A novel model for pulling a suture through a deformable surface is presented. By connecting two separate surfaces through the suture, our model can simulate a suturing task. The results are shown using software we developed that runs on a standard PC and models the action of a suturing device used in minimally invasive Laparoscopic surgery.