The present invention provides an artificial blood vessel system which can suppress the occurrence of stagnation of a blood flow and, eventually, the occurrence of a thrombus, can enhance the reliability of the connection, and can prolong the lifetime of the artificial blood connecting structure. In the artificial blood vessel system which includes an artificial blood vessel (120), a tubular connecting member (110A,110B) which is connected with the artificial blood vessel (120), and connecting assist means (130A,130B,230A 1 ,230A 2 ,230B 1 ,230B 2 ,330A,330B,430) for strengthening the connection between the artificial blood vessel (120) and the tubular connecting member (110A,110B), the connecting assist means (130A,130B,230A 1 ,230A 2 ,230B 1 ,230B 2 ,330A,330B,430) is configured to be capable of bringing the artificial blood vessel (120) into pressure contact with the tubular connecting member (110A,110B) not only along the radial direction of the tubular connecting member but also at an artificial-blood-vessel-side distal end of the tubular connecting member.