A review is given of the current state of studies of the confinement and stabilization of hot plasma using high-frequency magnetic fields in the megahertz region. The principles upon which such studies are based are summarized. A theoretical analysis is reported of a plasma confinement system using ``traveling-wave" high-frequency fields and of the results of experiments performed with systems of this kind. Another section is devoted to dynamic plasma stabilization systems, the fundamentals of the theory of the dynamic stabilization of the Z pinch, and the results of experiments performed in this field. Experimental data are compared with the basic assumptions of the theory and certain general conclusions are reported with regard to further developments and possibilities in this subject.