An airbag cover for covering an airbag stored in its folded state within a steering wheel or instrument panel of an automobile. The air bag cover is formed of a planar woven fabric having two pair of cut-outs, each pair being two cut-outs diagonally opposite from each other. The woven fabric consists of a warp yarn and a weft yarn, with the warp yarn having a weave parallel to a line connecting one of the two pair of cutouts and the weft yarn having a weave parallel to a line connecting the other pair of cutouts. The warp and weft, by extending parallel between cutouts, facilitates ready tearing of the cover between the cutouts when the bag is inflated.
