Contemporary technical superconductors provide high Jc in wide range of magnetic fields and temperatures. These features are used in superconducting magnets to produce high fields, reduce magnet size and lower power consumption. Thanks to these features superconducting magnets are widely used in scientific research, industrial application, medicine, transportation, etc. Large scale applications of superconducting magnets became possible also thanks to the remarkable progress in cryogenics, superconducting composite industrialization, and engineering of cryogenic electrical systems. Applications of superconducting magnets include particle accelerators and detectors, fusion and energy storage (SMES), laboratory magnets, magnetic resonance imaging (MRI), high speed transportation (MagLev), electrical motors and generators, magnetic separators, etc. This paper presents the overview of practical superconducting materials, being used in various superconducting magnets, magnet designs and operation features, and the most remarkable examples of superconducting magnets.