Menisci suturing is a common surgical technique nowadays. Menisci have been modeled with different degrees of complexity in finite element models (FEM) of the human knee, but there are few works focused on simulating the meniscus subjected to traction loads in its longitudinal direction, such as those produced by sutures after repair. Moreover, there are no models that include the effect of the orifice for the suture. This study develops a material model of the meniscal horn when it is pulled by the thread used to reattach its root.