To provide a progressive press die, which can use an ordinary material for blanking without using an expensive material, further reduces the cost of the quality control for controlling the material, makes production equipment small in size by eliminating a repressurizing step in the other process using a pressure device, and contributes to the reduction of a production cost.

In a back-pressure device for laminating a plurality of cores 1 blanked out and applying back-pressure to the cores 1 in a direction opposite to a press direction, an automatic following device 4, which follows the deviations in the plate thicknesses of the cores, is mounted in the laminated core side. The automatic following device 4 is composed of a lower core receiver 4a, in which a hemispheric recess is formed, and an upper core receiver 4b, in which a projection having the same curvature as the hemispheric recess is formed for receiving the recess of the lower core receiver 4a.