A hot press-forming method includes a forming step that clamps a steel sheet heated to a temperature not less than an austenite transformation temperature and press-forms the steel sheet into a desired shape by causing a forming concave of a die and a convex of a punch to be close to each other. A formed portion has side and top portions that merge. The side portion rises up from an inner circumferential edge of a flange portion having been clamped by the die and the blank holder. A cooling step cools a region of the steel sheet after the heating step has been completed and before the forming step is completed. The particular region is along an inter-edge area formed between an opening circumferential edge of the forming concave and a top circumferential edge of the forming convex before the forming step is completed.