Abstract: A tool-changing apparatus for a multiple-spindle milling machine having a gantry covering a working-part table. Individual working spindles are movable from working positions side by side in unison in a tool-change position laterally from the working-part table. Tool-gripping devices are movable between a delivery station and the working spindles in the tool-change position among which each gripping device is turnable and is arranged in said change position of each of the working spindles. The gripping devices are each arranged at a separate swinging device which is movable at least in a direction of a connecting line of the working spindle or parallel thereto in relation to the swinging devices of other of the tool-gripping devices.