An implantable medical device includes a support structure which is twistable in a longitudinal direction of the device. A sleeve of filter or occluding material is attached to the ends of the structure. The structure in practice twists on itself in the longitudinal direction, causing the sleeve to twist on itself and as a result to close the lumen through the sleeve. The device provides reliable closure and as a result occlusion of a vessel. It is also able to be delivered over a guide wire. In another embodiment, the support structure includes a wire which coils around the sleeve to constrict the sleeve and as a result to close a lumen of the sleeve.