Abstract: A machining tool for the fine machining of internal surfaces, with a blade carrier and cutting inserts preferably attached releasably thereto. An adjusting device for the precision adjustment of the cutting edge is provided. The blade carrier has at least one slit located closer to the longitudinal axis of the machining tool than is the cutting insert, thus creating a blade carrier segment which can be essentially radially adjusted and which carries the cutting insert and which is connected in one piece with the remaining blade carrier. The degree of freedom of the blade carrier segment permitted by the slit can be stabilized via adjusting device.