PURPOSE: To accurately bite and cut without slowing sending speed of a band by forming a guide layer with soft material on a front side of a work in the biting direction when cutting is performed by letting a running diamond chip saw bite the work of stone.

CONSTITUTION: As for material and thickness of a guide layer 13, a soft material into which a diamond chip 7 can bite easily and which can guide a band 5 is acceptable. When a running band 5 bites a work 11 having the guide layer 13, the biting can be performed accurately at a normal band conveying speed. Thereafter, a groove formed on the guide layer 13 plays a role of guide without generating clearances right and left, so that cutting is performed accurately along a cutting line.