Abstract: A machine for punching sheet metal includes a counterpunch holder unit including a supporting disk mounted for rotation about a main axis and supporting a number of counterpunch holder assemblies, each including a respective counterpunch. Each counterpunch holder assembly includes a main body secured to the supporting disk. Each main body includes a seat, which extends coaxially with the main body axis which is parallel to the main axis. Each counterpunch holder assembly further includes an extracting body housed in an axially-movable manner inside the seat to support the bottom of the respective counterpunch. A positive actuating assembly moves the extracting body axially to extract the counterpunch from the respective seat.