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This paper discusses a newly developed conveyer that uses superconducting levitation. The conveyer is composed of a levitated stage with a permanent magnet (PM) and a superconductor with an electromagnet and a Hall sensor. The gap between the PM stage and the superconductor is detected by using the Hall sensor and the current of the electromagnet coil. In order to suppress vibrations of the PM stage, PD (proportional & differential) control using adoptive control method is applied to the system. Control forces are produced by the electromagnet under the superconductor. The dynamics of the levitated stage are discussed in the case that PD control and only D (differential) control are applied to the system.