To reduce the vibration and noises and also lengthen the life of a tool in various cutting machine tools, in particular the cutting machine tool such as a circular saw machine or a band saw machine not requiring high machining accuracy.

This cutting machine tool is provided with a work heating means 10 for heating a work W in a place away from a cutting machining position of the work W when the work W and the cutting tool (a circular saw blade 5) approach each other to perform cutting machining to the work W in the state of rotating one of them, and a tool cooling means 11 for cooling the cutting tool (the circular saw blade 5) in a portion away from a cutting action region of the cutting tool (the circular saw blade 5).