Abstract: A screw cutter die head comprising an annular body portion, a ring member formed with several cam ridges and angularly movable relative thereto and several chasers held by said body member to be radially movable by engagement of a cam recess formed in each chaser with each of said cam ridges is in public knowledge. When it is necessary to process the work of far larger or smaller diameter in the known die head, the chasers must be exchanged with the others formed with the cam recess nearer to the cutting edges or more apart therefrom. The invention provides the chasers formed with a plurality of recesses and the ring member formed with the corresponding number of notches to be engaged with the latch for fixing it.