The stable industrial trends towards improvement of product accuracy and quality call for necessity to widen the nomenclature of details surfaces and materials, which need finishing. The method of magnetic abrasive finishing (MAF) helps to meet these challenges. This paper presents the results of study of technological potential of MAF equipment with rotating working area, filled with magnetic-abrasive powder. Such equipment allows to polish the cylindrical, conical and helical surfaces of core details made of magnetic and non-magnetic materials. Geometrical accuracy and roughness of the above mentioned surfaces after MAF and also the conditions of their performance theoretically and experimentally studied. It is established that MAF changes the fine structure of detail surface layer made of hardened high-speed steels, titanium and aluminum alloys and improves their surface performance.