To effectively prevent fusing of cutting chips to a blade edge, so as to prevent generation of double cutting of the cutting chips.

In a milling cutter type running cutting machine cutting the total periphery of a cut workpiece 2 by moving along its external periphery a saw blade 1 rotated on its own axis at a high speed, a mechanical saw dust remover 11 continuously making mechanical external force act relating to an edge 1a of the saw blade 1 is provided in a moving mechanism part 5 of the saw blade 1. In this way, fusing of cutting chips to the blade edge can be effectively prevented by the mechanical saw dust remover, so as to eliminate generation of double cut of the cutting chips. Accordingly, extending of a life of the saw blade is attained, in case of application to a continuous manufacture mill, a number of times stopping a milling machine due to blade replacement is reduced, improvement of a rate of operation and improvement of a yield rate by reduction of a scrap generation amount according to stopping of the machine can be attained.