A method for implementing vascular anastomosis in the attachment of a graft vessel to a target vessel such as a coronary artery, and subsequently creating a passageway between the vessels in order to establish fluid flow communication therebetween. Further is to the provision of novel devices which are utilized in implementing the steps of attaching a graft vessel to a target vessel such as a coronary artery through vascular anastomosis, and thereafter creating a fluid flow passageway therebetween.