A tool unit includes a base that is mountable on and demountable from a first turret, a slider that is disposed on the base, holds a cutting tool in a state in which a direction of the linear cutting blade of the cutting tool is inclined with respect to a Z-direction by a predetermined angle when seen from an X-direction, and is able to move in a Y-direction perpendicular or substantially perpendicular to both the X-direction and Z-direction, and a drive transmission that is disposed on the base and is connected to a tool drive unit to move the slider.

An angle adjustment mechanism includes an angle adjustment block including first opposing side faces inclined relative to the direction along the rotation axis of the turret; first and second adjustment blocks having inclined faces that are brought into surface contact with respective first opposing side faces, and movable in a direction along the rotation axis; a depression formed in a tool holder, and accommodates the angle adjustment block with the first and second adjustment blocks; first and second adjusters that move the first and second adjustment blocks in a direction along the rotation axis of the turret; and a first positioning member conducting positioning between the turret and the tool holder, and a second positioning member conducting positioning between the turret and the angle adjustment block. This configuration provides a mechanism for attaching a tool holder to a turret which can easily conduct highly precise angle adjustment.