The treatment system according to the invention comprises: - suture members (20) which are made of a bioresorbable material and each of which has two legs (21, 22) having a respective free end (21A, 22A), the free ends (21A, 22A) being fixedly connectable to each other by having them interact with each other or with an attachment of the suture member in a form-fitting manner, the two legs (21, 22) being elastically deformable at least in part except for said free ends thereof - an elongate support element (10) which can movably support the suture members and can be inserted into one of the patients two hollow ducts (2, 3) in the direction of the central longitudinal axis of the support element (10) and - a suture member-biasing mechanism (30) that is movably supported by the support element, is disposed at least in part within the support element, and can move and deform each suture member between a retracted position in which the free ends of the two legs (21, 22) of the suture member can be moved relative to each other as they are both arranged at a radial distance from the axis which is shorter than the outer radius of the support element, and a deployed position in which the free ends of the two legs of the suture member are located outside the support element so as to be fixedly connected to each other as they are both arranged at a radial distance from the axis which is greater than the outer radius of the support element, after having transversely penetrated from the inside to the outside of the respective walls of the patients two hollow ducts.Le système de traitement selon linvention comprend : - des organes de suture (20), réalisés en un matériau bio-résorbable et incluant chacun deux branches (21, 22), qui présentent des extrémités libres respectives (21A, 22A) adaptées pour être liées fixement lune à lautre en coopérant par complémentarité de formes soit lune avec lautre, soit avec une pièce rapportée de lorgane de suture, et qui, en dehors desdites extr
