An occlusion device is made by weaving fine wires into two retention profiles, one distal and one proximal, linked by a cylindrical section and with the ends of the wires gathered at one side of the distal profile. The proximal end of the device presents a totally closed profile for positioning inside the body vessel, e.g. as a stent. The wire weave is shaped and is secured by heat treatment with a selected profile for the proximal end. Suitable wires include memory alloys.