Superconductibility is the property of a substance achieved by a temperature change. Heating the material to a critical temperature leads to a loss of electrical resistance. Passing the electrical current through a thin insulator barrier within a non-resistance material (Josephson effect) gives rise to a magnet hover over their surface (Meissnerov effect). The co-conductive condition is determined by three parameters: critical temperature, critical magnetic induction and critical electrical current density. If the value of any parameter is greater than the critical matter, it is not superconductive. Superconductibility is a quantum-technical phenomenon and cannot be explained by classical physics. Research in the field of superconductibility has led to new discoveries, e.g.: Meisser effect, BCS theory, Josephson effect and others. The physical properties of superconductibility are applied in new technologies. The superconductive properties shall be applied in strong particle accelerator magnets, in human interior recorders, drift vehicles. Superconductibility and the use of superconducting materials in modern technology are constantly improving.