An insufflable prosthesis is provided, that is radiopaque or with a circumferential radiopaque mark, for sutureless and non clamping side-to-side, end-to-end and end-to-side anastomosis, or fast clamping and sutureless wherein vessel graft or any other is inserted or not (whether externally covered or not if using grafts), in the lumen of the prosthesis comprised by an insufflable balloon, whether distensible or not and after being covered by graft, the balloon can be filled with polymerizable fluid, like silicon or cyanoacrylate glue, whether radiopaque or not, by a syringe having unidirectional valve to a needed caliber in order to keep the graft wall jointed and tight in relation to the organ which performs the anastomosis. The insufflable balloon, elastic and distensible, or non elastic and having preset dimensions also comprises non elastic punctiform bars inside that are responsible for keeping constant the distance between the elastic balloon walls.