A method for performing a tool change on a processing plant with at least one first working spindle; a tool magazine for storing different processing tools, wherein at least one storage plane having several tool receiving spaces arranged next to one another is provided in the tool magazine; a tool change device comprising at least one first gripper device for exchanging the processing tool held in the working spindle, wherein the gripper device comprises at least one first gripper unit and one second gripper unit which are positioned at a gripper-unit distance from one another, wherein the method comprises the following method steps: - removing a processing tool that has already been used from the working spindle by means of the first gripper unit; - inserting a processing tool held in the second gripper unit into the working spindle; - moving the gripper device to the tool magazine for receiving a new processing tool from the tool magazine into the gripper device and simultaneously placing the already used processing tool from the gripper device into the tool magazine; and simultaneously - processing a workpiece by means of the processing tool held in the working spindle, characterized in that a second working spindle is arranged next to the first working spindle, wherein the working spindles (2, 3) are arranged in parallel to one another and serve for receiving one processing tool each and that the tool change device comprises a second gripper device, wherein the two gripper devices (13, 14) are moved synchronously to one another and simultaneously operate the two working spindles (2, 3). at least one first working spindle; a tool magazine for storing different processing tools, wherein at least one storage plane having several tool receiving spaces arranged next to one another is provided in the tool magazine; a tool change device comprising at least one first gripper device for exchanging the processing tool held in the working spindle, wherein the gripper device comprises at least one first gripper unit and one second gripper unit which are positioned at a gripper-unit distance from one another, wherein the method comprises the following method steps: - removing a processing tool that has already been used from the working spindle by means of the first gripper unit; - inserting a processing tool held in the second gripper unit into the working spindle; - moving the gripper device to the tool magazine for receiving a new processing tool from the tool magazine into the gripper device and simultaneously placing the already used processing tool from the gripper device into the tool magazine; and simultaneously - processing a workpiece by means of the processing tool held in the working spindle, - removing a processing tool that has already been used from the working spindle by means of the first gripper unit; - inserting a processing tool held in the second gripper unit into the working spindle; - moving the gripper device to the tool magazine for receiving a new processing tool from the tool magazine into the gripper device and simultaneously placing the already used processing tool from the gripper device into the tool magazine; and simultaneously - processing a workpiece by means of the processing tool held in the working spindle, characterized in that a second working spindle is arranged next to the first working spindle, wherein the working spindles (2, 3) are arranged in parallel to one another and serve for receiving one processing tool each and that the tool change device comprises a second gripper device, wherein the two gripper devices (13, 14) are moved synchronously to one another and simultaneously operate the two working spindles (2, 3).