An inflatable packing element for an inflatable packer or bridge plug utilized in subterranean wells comprises a tubular elastomeric sleeve which is surrounded by a plurality of circumferentially overlapping flexible metal ribs. The opposite ends of the ribs are respectively welded to an external surface provided on a force transmitting sleeve. The sleeve is provided with a shoulder having an abutting relationship with an internally projecting shoulder provided on the tubular mounting structure for the inflatable element.