The method is intended for obtaining nanosize amorphous particles, which find use in various fields of science and technology; in particular, metallic nanostructures can be regarded as a promising material for creating new sensors and electronic and optoelectronic devices and for developing new types of highly selective solid catalysts. The method for obtaining nanoparticles includes the following stages: dispersion of a molten material; supply of the resulting liquid drops of this material into a plasma with parameters satisfying the aforementioned relationships, which is formed in an inert gas at a pressure of 10.sup.-414 10.sup.-1 Pa; cooling of liquid nanoparticles formed in the said plasma to their hardening; and deposition of the resulting solid nanoparticles onto a support.