To reduce cutting resistance, and set component force in a cutting edge tip direction to be apparently zero, to restrict abrasion of a cutting edge tip of a tool and deformation and decomposition of subject material to be cut, and to improve work precision.

In this vibration-cutting method, the tool 1 is relatively vibrated to the subject material 2 while cutting it. A cutting edge 3 of the tool 1 is relatively reciprocated to the subject material 2 in the cutting edge tip direction 6 of the tool 1 for cutting it in both directions of reciprocation. After cutting, the cutting edge 3 is separated from the subject material 2 (cutting point) at points 16 and 17 where vibration speed of the cutting edge 3 at least in the cutting edge tip direction 6 becomes zero. This vibration-cutting device is provided with a first and a second actuators to vibrate the tool 1 in the cutting edge tip direction 6 and a cutting direction 7, and a control part to control action of the first and the second actuators to conduct vibration-cutting in accordance with locus.