A tack device for holding plaque against blood vessel walls in treating atherosclerotic occlusive disease can be formed as a thin, annular band of durable, flexible material. The tack device may also have a plurality of barbs or anchoring points on its outer annular periphery. The annular band can have a length in the axial direction of the blood vessel walls that is about equal to or less than its diameter as installed in the blood vessel. A preferred method is to perform angioplasty with a drug eluting balloon as a first step, and if there is any dissection to the blood vessel caused by the balloon angioplasty, one or more tack devices may be installed to tack down the dissected area of the blood vessel surface, in order to avoid the need to install a stent and thereby maintain a ‘stent-free’ environment.