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Magnetic holes are magnetoplasma structures widely observed in the space plasma. These structures represent the stable depressions of the magnetic field. The spatial-scale of these structures vary from several electron gyroradii of about 1 km to about millions of km of sizes. We are considering the structure with a spatial-scale of the order of the ion gyroraidus (about 1000 km). We consider the self-consistent equilibrium solution of the Vlasov-Maxwell equations for such structures. This solution has been founded by generalization the two types of plane equilibrium solutions in the case of cylindrical symmetry. For both models we derived a generalized equation Grad-Shafranov equation and consider effect of the background plasma. It is shown that the magnetic configuration of the holes in the presented models are similar to the data of satellite observations in the near-Earth plasmasheet. On the basis of the constructed models we considered the possible relative contribution of ion and electron currents in to the formation of magnetic holes.