A floating body can be as the magnetic levitation system of the bidirectional random autorotation and its control system. It is are composed of the magnetic levitation permanent magnet embedded in the floating body, electromagnet in the trestle cabinet, displacement transducer, magnetic levitation control circuit, rotary permanent magnet embedded in the floating body, magnetic magnet coil in the trestle cabinet, proximity transducer and rotary control circuit respectively. It is featured by the convenient use. On the corresponding magnetic levitation system, it can evolve into the magnetic levitation tellurions, spheres, balls, toys, advertising products, model exhibitions, souvenirs, artwares.