The invention relates to a nanocomposite material that contains a polymer binder, a filler and a fraction of nanoparticles, characterized in that the fraction of nanoparticles comprises multi-layered carbon particles having a toroid-like shape with a size of 15 to 150 nm, wherein the ratio between the outer diameter and the thickness of the toroid body is in a range of (10-3):1. This nano-modification makes it possible to obtain an efficient compaction and hardening of the nanocomposite material close to the filler/binder inter-phase barrier, and accordingly to increase the average density, elasticity, hardness and resistance of the material. The invention can be used for making various parts and articles for use in mechanical engineering and transport, including instrument holders for the precise surface treatment of parts.