The field-induced impact on magnetic nanostructures with a large spin-orbit interaction, consisting in magnetization reversal under ultra-short circularly polarized laser pulses or unipolar electric field pulses are studied. Using the magneto-optical method and a pump-probe technique based on the Kerr and Faraday effects, we have established features and conditions of the magnetization reversal in magnetic nanostructures under femtosecond circularly polarized laser pulses. It is shown that mechanisms of such the laser-induced impact is a complex process of laser-induced thermal demagnetization of magnetic sublattices with subsequent biasing by internal magnetic fields of different nature. The interfacial voltage-controlled magnetic anisotropy in magnetic nanostructures is studied. In the framework of the model, based on the Stoner magnetization and the Rashba spin-orbit interaction the conditions of the electric control of the perpendicular magnetic anisotropy and the magnetization switching are considered.