An implantable tissue connector (1； 1a) adapted to be connected to a tubular part of living tissue (70； 80) within a patient's body (100) comprises a conduit (2) and at least one bulge extending outwardly from the conduit's outer surface (6) in a circumferential direction. At least one blocking ring (30) loosely fitting over the outer surface of the conduit with a clearance between the outer surface and the blocking ring is provided for mounting tubular living tissue (80) within the clearance. The blocking ring has an inner cross sectional diameter which is smaller than or substantially identical to an outer cross sectional diameter of the at least one bulge so as to prevent the blocking ring from slipping over the bulge when living tissue is mounted within the clearance. During implantation in the patient's body the conduit is inserted into the tubular part of living tissue and over the bulge (15). Then, the blocking ring (30) is pushed over the free end (81) of the living tissue (80) against the bulge (15). This arrangement secures the living tissue (80) to the conduit (2) with a self-enhancing effect when the tissue (80) tends to be pulled off of the conduit (2).
