We have succeeded in obtaining magnetized star models that have extremelystrong magnetic fields in the interior of the star. In our formulation,arbitrary functions of the magnetic flux function appear in the expression forthe current density. By appropriately choosing the functional form for one ofthe arbitrary functions that corresponds to the distribution of the toroidalcurrent density, we have obtained configurations with magnetic fielddistributions that are highly localized within the central part and near themagnetic axis region. The absolute values of the central magnetic fields arestronger than those of the surface region by two orders of magnitude. Byapplying our results to magnetars, the internal magnetic poloidal fields couldbe 10^17 G, although the surface magnetic fields are about 10^15 G in the caseof magnetars. For white dwarfs, the internal magnetic poloidal fields could be10^12 G, when the surface magnetic fields are 10^9-10^10 G .
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