Abstract: A tool changer is used for changing tools in a machine tool. The tool changer has a support structure on which a lifting carriage is guided along a vertical lifting direction. A pivot arm is pivotably mounted to the lifting carriage about a vertical pivot axis. A plurality of tool holders arranged vertically one above the other form a tool magazine. A tool gripper is attached to the pivot arm. The tool gripper grips a tool. The tool is subsequently moved between one of the tool holders and the tool spindle of the machine tool by a combined lifting and pivoting movement of the pivot arm. Optionally, an auxiliary arm pivotably attached to the pivot arm can be used to change a workpiece clamping means of the machine tool.