Provided is a method that can, with favorable positional precision and without cracks or wrinkles arising, mold a pressed article having a shape including a shape that has been bent into an inverted checkmark shape across the lengthwise direction when the molded article is seen from the lateral side with a top plate section at the top side in the lengthwise direction, and having a hat cross-sectional shape, even if a high-strength member is a metal plate material. The method produces a press-molded article having a cross section that is a hat shape that comprises flanges (1) at each side, a top plate (2), and a vertical wall (3) at each side, and having a shape bent into an inverted checkmark shape in the vertical direction across the lengthwise direction when seen from the lateral side of the article with the top plate at the top side. The metal plate material is draw-formed to an intermediate shape, forming an intermediate molded body, the intermediate molded body is trimmed, adjusting the outer shape thereof, and further continuous draw-forming is performed to the final shape thereof.