A self-driving storage device for storing and/or transporting body components of motor vehicles, base modules of motor vehicles, or motor vehicles in a final or partially assembled state, the self-driving storage device comprising a base element and a support structure which is arranged on the base element, is designed to receive the body components or the motor vehicles in a final or partially assembled state, and has a plurality of storage spaces with movable storage base elements, wherein the storage device has a movement device which is arranged on the base element and is designed such that the storage device can be moved omnidirectionally in a self-driving manner, in a floor-bound manner.