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Magnetic holes are local structure with depressions in magnetic field strength |B|. They are commonly observed in the solar wind and in the Earth’s magnetosphere. Spacecraft observations suggest that magnetic holes represent stale structures where magnetic field variation is supported by strong electron currents maximizing around hole boundaries. We provide a model (kinetic) description of observed features of the magnetic holes. We solve Vlasov equation with distributions functions of electrons and ions. These distributions provide a current density for Maxwell’s equation for both planar and cylindrical hole configuration. Obtained profiles of magnetic and electric fields, electron and ion currents, can describe observe features of the magnetic holes.