In the present work, a novel brand of nanomaterials — inorganic fullerene (IF)-like solid lubricant nanoparticles of WS2 and MoS2 (IF) — is considered. Friction and wear properties of IF nanoparticles are compared with commercially available layered WS2 and MoS2 solid lubricants. IF solid lubricant nanoparticles were added to oil, grease, and impregnated into the pores of powdered materials. Polymer nanocomposite with IF nanoparticles and alumina covered by thin IF film showed superior tribological properties in comparison to the reference materials. The mechanisms of IF self-lubrication are discussed.