To improve the workability for properly finishing the press, and to reduce the equipment cost.

This cuff press for a sleeve press machine is provided with a sleeve stand 13 stood on a base, a cover body 80 provided concentrically with the sleeve stand 13 at an upper end thereof and to be fitted to a cuff for covering by it, and a cuff engaging and removing mechanism for engaging and removing the cuff installed in the cover body 80. The cuff engaging and removing mechanism is provided with a cylinder 40 stood in the top of the sleeve stand 13 and a pair of presser plate springs 70 possible to change attitude thereof between a locking attitude for pressing the cuff K from a surface thereof for lock and a releasing attitude for releasing the pressure to release the lock with normal and reverse rotation of the cylinder 40. The presser plate spring 70 is structured to be set in the lock attitude at a terminal of the drive of the cylinder 40, namely, a bottom dead center and a top dead center of a piston rod 41.