A press forming method according to the present invention is a press forming method of press forming a formed part 1, which has: a top portion 5 having a concave outer edge 3 with a part of the outer edge being concave inwards; and a flange portion 7 subjected to bending forming along the concave outer edge 3 of the top portion 5, the press forming method including: a first forming process S1 of forming a preformed shape part 15, which includes, at a part where the flange portion 7 is formed in a blank material 9, a vertical wall portion 11 that becomes a part of the flange portion 7, and a mountain shaped portion 13 that is bent outwards from the vertical wall portion 11 and is convex towards the top portion 5; and a second forming process S2 of forming the flange portion 7 by performing bending forming on a part including the mountain shaped portion 13 of the preformed shape part 15 formed in the first forming process S1 along a bending line that is a boundary from the vertical wall portion 11.