An exemplary punch die (30) includes a lower die (40) and an upper die (50). The lower die includes a die core (45), a blank holder (417), and a cylinder (413) disposed in the lower die. The blank holder is disposed on a periphery of the die core. The cylinder is connected to the blank holder and provides a constant force to the blank holder. The upper die includes a punch core corresponding to the die core. A punch machine using the present punch die is also provided.