The present invention is a combination anastomosis device that both sutures and seals connections between two native body tubes and a graft—better proof against leaks than prior art of suturing alone or as some propose, by sealing. The invention is also a combination of supporting devices and methods that allow the anastomoses to be performed in seconds rather than the minutes required by present art, causing no more collateral bodily damage than percutaneous entry, requiring no time on a cardiac bypass system, either no heart stoppage or less than a minute thus potentially increasing the population who can tolerate coronary bypass as an out-patient procedure. The tract of application is not limited to coronary but includes vascular, urinary, pulmonary, alimentary, cerebral-spinal or other mammalian tract. May be manufactured of biodegradeable or biocompatible material and graft may be harvested or synthetic.