Abstract: A machine for the milling or grinding of toothed racks, having a workspace, in which a machining head carrying milling and/or grinding tools is movably arranged is provided. The machine further has a first preparation area arranged on a first side of the workspace, which has a first workpiece table reversibly movable from the first preparation area into the workspace, and which for its part has first positioning means for workpieces. The machine has a second preparation area, which is arranged on a second side of the workspace, and has a second workpiece table which can be reversibly moved from the second preparation area into the workspace, and which for its part has second positioning means for workpieces. A corresponding method is also provided.