A tool arrangement for a rotary machining tool, for example a grinding disk, has a spindle rotatably accommodated in a housing via a bearing set, onto which spindle a tool holder including a tool mandrel can be clamped for fixing the tool. The tool holder with the tool can be clamped onto the spindle such that the at least one front bearing of the bearing set as well as the set center of the bearing set are enclosed by the tool mandrel and/or the tool.