To provide a press forming method capable of preventing occurrence of stretch-flange crack while using a conventional press forming apparatus in the case of press-forming a formed member with flange.

This method is characterized by the shape of a blank for press forming, and a blank B in accordance with the invention is constructed by a base body blank portion 11 corresponding to a flat base body of the formed member, and a concave flange blank portion 17 formed by bending on a concave outer peripheral edge 12 of the base body blank portion. The concave blank portion 17 is constituted by a convex flange blank portion 14 in which a stretch-flange deformation is generated, and an adjacent flange blank portion 16 which is adjacent thereto. An outer peripheral edge of the convex flange blank portion 14 is formed such that one end exists between c and e on a profile line Lp corresponding to an outer peripheral edge of the adjacent flange blank portion 16, the other end exists between d and f, and the one end and the other end are smoothly connected between the straight lines cd and ef, as shown in the figure.