[Object] To enable flexible molding of a punch-nose in press working for obtaining a molded product including a U-shaped portion in a cross-section.[Solution] Provided is a press-working apparatus configured to provide a molded product by performing press working on a work, the molded product including, in a cross-section, a U-shaped portion including a bottom, a wall, and a punch-nose between the bottom and the wall, the press-working apparatus including: a die in which a recessed portion to receive the U-shaped portion is formed; a first punch that sandwiches a central area of the bottom with a bottom surface of the recessed portion; and a second punch that is pushed into the recessed portion later than the first punch, to restrain the wall between the second punch and a side surface of the recessed portion, and sandwich the work with the bottom surface to mold a peripheral area of the bottom and the punch-nose. A sandwiching width of the first punch that sandwiches the central area of the bottom and a setback amount of the second punch from the first punch in a push-in direction are set on the basis of a target sheet thickness of the punch-nose.