The ultimate target of machining process is to get both precision and productivity simultaneously. To obtain these effects, many kinds of machining methods have been considered and various research effort has been made for a long time. Ultrasonic vibration cutting method is one of these methods. When the ultrasonic vibration is applied on the workpiece or the tool, the cutting tool makes periodical contact with workpiece due to vibration. The cutting is performed by vibrating impact force while the cutting tool contacts the workpiece, and it makes the displacement of both the tool and workpiece minimum in three force component (principal, axial, radial force) direction during the cutting process. So the cutting precision is better than conventional cutting method. The main results that obtained by the expriments of ultrasonic vibration cutting are as follows; 1. The value of roundness is about 1.4 ~ 2.5 [${mu}m$] and this value is three or four times less than that of conventional cutting. 2. The value of surface roughness is about 1.2~2.2 [${mu}m$] and this value is the two or three times less than that of conventional cutting.