A flexible covered stent includes a stent covered on a first surface by a first layer of biocompatible material and on a second surface by a second layer of biocompatible material, the first and second layers of biocompatible material being bonded to one another through a wall in the stent. The first layer of biocompatible material is longer than the second layer of biocompatible material such that at least a portion of the second surface of the stent is left uncovered, imparting flexibility to the stent. A mid portion of the second surface of the stent can be left uncovered to impart flexibility to the stent similar to that enjoyed by a bare stent.