A press-forming method which press-forms a final shaped article which comprises a top sheet part, vertical wall parts, and flange parts and which has at least one bent part in a longitudinal direction, which method forms the top sheet part, vertical wall parts, bent part, and flange parts, includes a first shaping process of bending a flange part at an intersecting part until an angle of the flange part with a horizontal line becomes α 1 in a plane which includes a horizontal line which connects an intersecting part of a vertical wall part and a flange part and a center of curvature of the bent part and which is vertical to the high strength steel sheet and a second shaping process of additionally bending the flange part after the first shaping process at the intersecting part until the angle of the flange part with the horizontal line becomes α 2 in that plane, makes the additional bending angle β of α 1 -α 2 predetermined ranges, and thereby reduces the warping and torsion of the final shaped article.