Tool guiding assembly for guiding a cutting tool (2, 2', 2''), which cutting tool makes a horizontal cut, on the outer wall of an elongated, upright body having a substantially circular cross-section, namely a conically tapering tower, in particular of a wind turbine, comprising - a main ring, which can be placed around the outer wall, having at least three holding arms, wherein these holding arms are adjustable in length and are arranged radially on the main ring in the direction of the centre point of the main ring, and provided at the ends thereof that point towards the centre point of the main ring are contact means for making releasable contact with the outer wall, wherein the angle between two adjacent holding arms, as seen from the centre point of the main ring, is equal; - a tool ring, which is connected to the main ring via a bearing and/or a slewing ring, wherein the tool ring is mounted in such a way as to be able to rotate relative to the main ring; - the main ring and the tool ring are mounted to rotate relative to one another about a common axis of rotation through their common centre point, and a drive is provided for rotating the tool ring relative to the main ring; - at least one tool holder, comprising a tool arm, wherein the tool arm is arranged on the tool ring and a cutting tool (2, 2', 2'') is arranged at least in part on the tool holder of the tool arm, wherein the tool arm is designed to be adjustable in length and is oriented radially in the direction of the centre point of the tool ring, wherein the main ring is stationary during the rotation of the tool ring and is connected to the outer wall with a force fit, characterized in that a lifting ring is provided on the side of the main ring remote from the tool ring, wherein the lifting ring is connected to the main ring by means of a lifting assembly such that the distance between the main ring and the lifting ring is adjustable, and the lifting ring has at least three lifting holding arms, wherein the lifting holding arms are arranged radially on the lifting ring towards the centre point of the lifting ring, and provided at the ends thereof that that point towards the centre point of the lifting ring are contact means for making releasable contact with the outer wall, wherein the angle between two adjacent holding arms, as seen from the centre point of the lifting ring, is equal and the lifting ring and the main ring are oriented parallel to one another. - a main ring, which can be placed around the outer wall, having at least three holding arms, wherein these holding arms are adjustable in length and are arranged radially on the main ring in the direction of the centre point of the main ring, and provided at the ends thereof that point towards the centre point of the main ring are contact means for making releasable contact with the outer wall, wherein the angle between two adjacent holding arms, as seen from the centre point of the main ring, is equal; - a tool ring, which is connected to the main ring via a bearing and/or a slewing ring, wherein the tool ring is mounted in such a way as to be able to rotate relative to the main ring; - the main ring and the tool ring are mounted to rotate relative to one another about a common axis of rotation through their common centre point, and a drive is provided for rotating the tool ring relative to the main ring; - at least one tool holder, comprising a tool arm, wherein the tool arm is arranged on the tool ring and a cutting tool (2, 2', 2'') is arranged at least in part on the tool holder of the tool arm, wherein the tool arm is designed to be adjustable in length and is oriented radially in the direction of the centre point of the tool ring, wherein the main ring is stationary during the rotation of the tool ring and is connected to the outer wall with a force fit, characterized in that a lifting ring is provided on the side of the main ring remote from the tool ring, wherein the lifting ring is connected to the main ring by means of a lifting assembly such that the distance between the main ring and the lifting ring is adjustable, and the lifting ring has at least three lifting holding arms, wherein the lifting holding arms are arranged radially on the lifting ring towards the centre point of the lifting ring, and provided at the ends thereof that that point towards the centre point of the lifting ring are contact means for making releasable contact with the outer wall, wherein the angle between two adjacent holding arms, as seen from the centre point of the lifting ring, is equal and the lifting ring and the main ring are oriented parallel to one another.