An external stent type prosthesis is provided that is extraluminal, with at least one tubular member, interconnectable in an upper end, and inflatable by a balloon with a central lumen, single but with multiple projections in equal plurality of tubular members of the stent which is adjusted in its interior, for side-to-side, end-to-end, end-to-side anastomosis without clamping and sutureless, or with expeditious clamping and sutureless, where the vascular graft, or anastomotic trunk, or any other grafts, inserted in the lumen of the balloon and prosthesis, comprising a distensible mesh and after being coated with graft, this mesh is expansible by the balloon until the necessary gauge to keep the graft wall joined together and sealed in relation to the organ wall, that can contain a bag suture around the place where the anastomosis is made.