A blanking die apparatus includes a lower die in which a plurality of working stations are arranged, and an upper the which moves upward and downward with respect to the lower die. A progressively fed sheet is sequentially blanked or stamped out respectively in the working stations to form iron core pieces, and then to laminate the iron core pieces to form a laminated iron core. The lower die includes a lifter part which lifts the sheet from the lower die when the sheet is progressively fed. The lifter part first lifters installed in an outer peripheral area in each of the working stations, and second lifters installed on an upper surface of a blank die which has a blanking hole formed for blanking the iron core pieces in an external form, or on an upper surface of a blank die holder.