A machine tool and a control device therefor, wherein vibration cutting of a workpiece is carried out by means of a tool and wherein, after the vibration cutting, finish-cutting is carried out for cutting a finishing allowance of the workpiece by means of the tool, without relative vibration between the workpiece and the tool, by relatively rotating the workpiece and the tool and relatively moving them in the feed direction. According to the invention, before the vibration cutting, a finishing allowance calculation means calculates a finishing allowance remaining on the workpiece after vibration cutting has been completed, and a determination means determines whether or not the finishing allowance as calculated by the finishing allowance calculation means is less than, or equal to a predetermined threshold value.

A machine tool and a control device therefor, wherein vibration cutting of a workpiece is carried out by means of a tool and wherein, after the vibration cutting, finish-cutting is carried out for cutting a finishing allowance of the workpiece by means of the tool, without relative vibration between the workpiece and the tool, by relatively rotating the workpiece and the tool and relatively moving them in the feed direction. According to the invention, before the vibration cutting, a finishing allowance calculation means calculates a finishing allowance remaining on the workpiece after vibration cutting has been completed, and a determination means determines whether or not the finishing allowance as calculated by the finishing allowance calculation means is less than, or equal to a predetermined threshold value.