A sequential punch press includes an upper die (10), a lower die (90), and an adjusting device (60) in the upper die. The upper die sequentially includes a punch set (20), a punch pad (30), a punch holder (40), and a stripper (50). A punch (70) is vertically and movably secured in the punch holder and received in the stripper. The adjusting device includes first and second sliding plates (64, 66) respectively having protrusions (65b, 67b), a piston cylinder (68) having a piston rod (682) fixedly connected with the first sliding plate, and a programmable controller for causing the piston rod to slidingly move the first sliding plate. When the first protrusions opposingly abut the second protrusions, the punch can extend beyond the stripper to punch a workpiece. When the first protrusions do not opposingly abut the second protrusions, the punch cannot extend beyond the stripper to punch the workpiece.