A stent (10,20,30,40,50,58,60,80,90,100,150,254,256,300) having an inflatable member or a plurality of members affixed directly thereto. One type of inflatable member, or pair or plurality of members, may be affixed to the outer stent surface to expand upon inflation to seal against the vessel wall, and optionally to each other as well and may be annular (14,18,20,42,46,82,94) or spirally (22,24,26,84) or asymmetrically (32,34,36) configured. In another embodiment a member (304), or pair of opposed members (306), can be affixed to the inner stent surface and used to occlude the lumen upon inflation. The device of the present invention can also be utilized with conventional stent grafts (152) to protect branch vessels that are involved in the aneurysm span.
