Abstract: Counter-die cylinder for a machine for stamping sheet-like material comprising a cylindrical body (1), a tubular member (2) arranged around the cylindrical body, at least one cover (3) which is arranged around said tubular member (2), and fixing means for positioning/removing the at least one removable cover, comprising said fixing means a support housed inside an axial housing (14) located in the tubular member (2) associated in a fixedly manner to two ends of at least one cover, in such a way that the two ends of the cover (3) can be moved in an opening and closing direction for the removing/positioning thereof. Thus, the operation of removing the covers becomes easier and faster.