Abstract: An elastic reinforced tie-down strap includes a core of nonstretchable reinforcing filament formed in a series of closed loops, and a casing of resilient stretchable material encasing the core and having a plurality of spaced anchor holes defined therein through the centers of the respective closed loops. The strap is fabricated using a method which provides the casing in an elongated strip-like form with the filament core extending longitudinally through the casing. The strap together with several S-shaped anchor hooks having ends adapted to be inserted through the anchor holes of the strap provide a tie-down strapping device. The closed loops of the filament are tied together so as to provide tear resistance in the casing around the anchor holes.