An anastomosis device (12) for advantageously bridging an artery and a vein. The anastomosis device includes a tubular graft (15) with first and second ends (47 and 48) and a longitudinal passageway extending longitudinally through the graft. The device further includes a first stent (10) disposed about the first end of the tubular graft and a second stent (10) disposed about the second end of the tubular graft. Each of the first and second stents has a plurality of hooks or barbs (11) pointed or releasable to the point toward the other end of the graft.