A system is provided for changing and inserting tools into or presenting tools at a machine tool. The system includes at least n rotatable tool magazines for receiving a plurality of tools, where n≥2, which are arranged in tandem in the direction of a rotational axis. At least one of the n tool magazines can be driven independently of the other tool magazines to perform a rotational movement about the rotational axis. The system further includes a manipulator for removing the tools from the magazine. The tools are held in tool mounts along the circumference of the n tool magazines such that the longitudinal axes of the tools in each case of one of the n tool magazines are located in one plane and project from the circumference of the tool magazine, and the tools can be moved along the circumference of the respective tool magazine.