In this study, a combination of countermeasures to prevent the chipping of the edge of cutting tool is investigated which usually occurs when difficult-to-cut materials such as hardened steels are cut by means of a conventional ultrasonic vibration cutting method (UC). The authors consider that the chipping is caused by the collision between the flank of a cutting tool and the machined surface of a workpiece when the tool moves backward thereby contacting with the workpiece. As a first countermeasure the authors propose a new UC device which has more rigidity and stability than the previous one used by the authors, even when subjected to high cutting resistance. As a further countermeasure, in addition to use of the new UC device the authors try to perform a cutting operation in which the vibrational direction of the cutting tool is inclined from a principal cutting direction at an amount of 10 to 30 degrees toward the workpiece. It is found from the result that the chipping of cutting edge can be substantially prevented and a good surface finish is obtained by both continuous and intermittent cutting modes when cutting hardened steels.