A cutting die (D), which has a cutting tip (50), is used in a punch press, and is for machining a workpiece (W) in cooperation with a cutting punch (P), is provided with a cooling mechanism (51) for cooling the cutting tip (50). The cooling mechanism (51) is configured from a circumferential groove (54) provided on the circumference of the die body (41) for supplying air (A) from the outside, and air holes (55) that communicate with the circumferential groove (54) and are for spraying air (A) toward the cutting tip (50).
