The machine comprises an operating arm accommodated with a pair of horizontally extending shoulders and is rockingly supported by a pin pivoted on parallel vertical supporting standards or uprights for said shoulders and forming part of the machine bedplate. The pin may be vertically moved along slots formed on said standards or uprights. The working plane is horizontal and may be rotated about a vertical axis and with said shoulders forms a cavity. Said plane has attached thereon the several counter-tools for the punching, nibbling and cutting operations and peripherally has cut profiles for rounding off. A mechanism is carried by the horizontal shoulders to cause the rocking movement for said operating arm and relative associated toolholders.