In conventional weaving methods, the tension of warp yarn at the sides in the width direction is insufficient during weaving, resulting in a difference in the crimp ratio between the center in the width direction and the sides in the width direction of the fabric. The difference in the crimp ratio has caused unevenness in a woven fabric in the width direction. As a solution, the present invention uses additional yarn having a boiling-water shrinkage rate less than that of the base yarn, thereby suppressing shrinkage at the sides in the width direction of the fabric and thus reducing the difference in the crimp ratio between the center in the width direction of the fabric and the sides in the width direction. This enables the production of a fabric for airbags with high uniformity in the width direction.