An implantable tissue connector comprises a conduit and at least one bulge extending outwardly from the conduit's outer surface in a circumferential direction. At least one blocking ring loosely fitting over the outer surface with a clearance between the outer surface and the blocking ring is provided for mounting tubular living tissue within the clearance. The blocking ring has an inner diameter which is sized relative to an outer diameter of the bulge to prevent the blocking ring from slipping over the bulge when living tissue is mounted within the clearance. During implantation, the conduit is inserted into the tubular part of living tissue and over the bulge. Then, the blocking ring is pushed over the free end of the living tissue against the bulge. The living tissue is secured to the conduit with a self-enhancing effect when the tissue tends to be pulled off of the conduit.
