Abstract: A tool body includes a damping apparatus for damping vibrations in a machining tool having, besides the tool body, a member with at least one cutting edge to be secured to the tool body. The damping apparatus is arranged in an internal room of the tool body and includes a damper mass body with an axial bore and a central tube extending through the bore and which is rigidly secured to the damper mass body inside the through bore. A central tube is also at both ends thereof rigidly connected to a tool body fixed part and the central tube is made of a material with a spring property allowing the damper mass body to oscillate in the internal room perpendicularly to the longitudinal extension of the central tube.