This aims to provide a press-apparatus mold capable of improving the yield of a blank while preventing wrinkles and cracks in a finished product, and an open-drawing method according to the press-apparatus mold. Within a range corresponding to the excess thickness portion (6) of a blank (4), the width of a punch (3) is gradually enlarged toward the end of the punch (3), thereby to curve boundaries (or the punch ridgelines (3d and 3e)) formed by the upper face (3a) and the side faces (3b and 3c) of the punch (3), toward the end of the punch (3) and to the widthwise outer sides of the punch (3). At the same time, the width of the recess (1a) of a die (1) is gradually enlarged toward the end of the recess (1a), thereby to curve a drawing profile (8) set by the punch (3) and the die (1), toward the ends of the punch (3) and the recess (1a) and to the widthwise outer sides of the punch (3) and the recess (1a).