To reduce required time by continuously performing flanging and curling in a machining process by one stroke.

The curling apparatus K is provided with a lower die member K1 comprising a lower die plate 2 fixedly held, a lower pad 4 vertically movably supported between the upper and the lower end position of the lower pad, a floating die 9 vertically movably supported between the upper and the lower end position of the die, a member 8 for generating a force for moving the lower pad upward, and a member 11 for generating a force for moving the die upward, and is also provided with an upper die member K2 comprising an upper body block 21 arranged above the lower die member K1, a curling die 22 fixed to the upper body block 21 and formed of a curling blade 22a on the lower face, an upper pad 24 held so as to make it slidable between the lower and the upper end position along an inclined guide 21b, and a member 30 for generating a force for moving the die downward.