The paper deals with magnetism and its influence on superconducting materials. We describe the discovery and development of superconductivity, superconducting levitation and its use in future technology - called. MAGLEV speed trains. We show the interaction of the magnetic field of a strong neodymium magnet and high-temperature superconductor, cooled with liquid nitrogen at about -200 ° C. Of superconductors at this temperature becomes perfect diamagnetic material. That is ejected from the magnetic field and therefore float above the magnets. The result of our research should be making a track simulating high-speed trains on the principle MAGLEV. In the first stage to select the appropriate arrangement of "rails" of the magnets, then make a final model train.