PURPOSE: A cutting machine, in which a rotary unit, providing a plurality of heads, is axially supported in an angle of 45°, with a miniaturization aimed, simulataneously with the head made easily exchangeable in a horizontal portion of the mounting surface.

CONSTITUTION: A rotary unit 27 is axially supported rotatably by a bearing unit 31, and a flange 27' is guided by a guide rail 5 provided with a slope angle of 45°. To a plurality of mounting surfaces 28 of the rotary unit 27, is separably held a head 42 with a cutting tool T arranged and installed. A rotation of the rotary unit 27 makes any one of the mounting surfaces 28 in a horizontal or vertical position. With the head replaceed in the horizontal position and pushed by a slide box 7 in the vertical position, the tool T is driven and the work on a table 2 is processed.