A system for inserting or removing machining inserts of a machining tool, comprising: - a first processing device, - a second processing device, and - a controller coupled to the first processing device and the second processing device, wherein the first processing device comprises a gripping element for holding or securing a machining insert, wherein the second processing device comprises a fastening tool for fastening or releasing a fastening means holding the machining insert, and wherein the controller is configured to control the first processing device for holding the machining insert and to control the second processing device for fastening or releasing the fastening means when the machining insert is held, the system further comprising a storage device with a plurality of receptacles for temporarily storing machining inserts, wherein the storage device is configured to insert and remove machining inserts into and from the receptacles, wherein a respective machining insert is introducible into each receptacle, wherein the receptacles each comprise a centering device which is shaped complementary to the machining insert and is configured to hold the machining insert in a predetermined orientation. - a first processing device, - a second processing device, and - a controller coupled to the first processing device and the second processing device, wherein the first processing device comprises a gripping element for holding or securing a machining insert, wherein the second processing device comprises a fastening tool for fastening or releasing a fastening means holding the machining insert, and wherein the controller is configured to control the first processing device for holding the machining insert and to control the second processing device for fastening or releasing the fastening means when the machining insert is held, the system further comprising a storage device with a plurality of receptacles for temporarily storing machining inserts, wherein the storage device is configured to insert and remove machining inserts into and from the receptacles, wherein a respective machining insert is introducible into each receptacle, wherein the receptacles each comprise a centering device which is shaped complementary to the machining insert and is configured to hold the machining insert in a predetermined orientation. wherein the first processing device comprises a gripping element for holding or securing a machining insert, wherein the second processing device comprises a fastening tool for fastening or releasing a fastening means holding the machining insert, and wherein the controller is configured to control the first processing device for holding the machining insert and to control the second processing device for fastening or releasing the fastening means when the machining insert is held, the system further comprising a storage device with a plurality of receptacles for temporarily storing machining inserts, wherein the storage device is configured to insert and remove machining inserts into and from the receptacles, wherein a respective machining insert is introducible into each receptacle, wherein the receptacles each comprise a centering device which is shaped complementary to the machining insert and is configured to hold the machining insert in a predetermined orientation.