A device for connecting abutting ends (1) of two blood vessels (2) that will be continuous after being mutually connected (anastomosis), the device primarily and substantially including a supporting part (3) that can be inserted in the two ends (1) of the blood vessel (2) to be connected, made, for example, of plastic or metal, particularly in the form of a mesh, grid, or cage. The supporting part (3) can be inserted into the blood vessels (1) far enough that the faces (4) of the blood vessel ends (1) can be brought into contact with each other and are in contact with each other in the usage position. The outer cross-section of the supporting part (3) in the usage position is thereby approximately the same as the inner cross-section of the blood vessel (1) in question and has an inner pass-through cross-section (lumen), so that blood can flow unhindered, but the blood vessels (1) in contact with each other are fixed at the same height to each other on the inside, and secured against sideways deflection relative to each other or sideways deflection of the blood vessel walls. The supporting part (3) can be made from one or two pieces.