A medical implant, having a proximal and a distal end, that is preformed to assume a superimposed structure at an implantation site but can be made to take on a volume-reduced form making it possible to introduce it by means of a micro-catheter and a guide wire arranged at the proximal end, with the implant in its superimposed structure assuming the form of a longitudinally open tube and having a mesh structure of interconnected strings or filaments. The implant has a tapering structure at its proximal end where the strings or filaments converge at a connection point.