A self-expanding aneurysm cover device which takes the form of an outwardly biased cylindrical skeletal frame in which the proximal end of the cylindrical skeletal frame forms a loop which extends at an oblique angle to the axis of the cylindrical skeletal frame. A positioning tab extends from the proximal end of the skeletal frame which when pulled causes the cylindrical skeletal frame to collapse to a reduced diameter for removal of the device from a vessel.