Disclosed herein is the preparation of woven fabrics suitable for use in manufacturing vehicle airbags. Such fabrics are woven from a plurality of polymeric, e.g., polyamide, warp and weft tapes which have preferably been slitted, preferably in the machine direction, from a thermoplastic polymer film, and preferably from such a film which has been drawn at least in the machine direction. The resulting fabrics exhibit both the relatively low basis weight, stiffness and small packing volume typical of nylon films, and the relatively high tear strength and high damage tolerance of yarn-based woven airbag fabrics.