This paper provides general information about Magnetic-Abrasive Polishing (MAP) of high-precision surfaces of machines and instruments. The polishing process is performed by a ferroabrasive powder tool, formed by the magnetic field into an “elastic brush”. The magnetic field helps formation of the surface layer with a minimum of structure defects. MAP technologies are used for finishing operations of super-fine polishing of optics, lasers and electronics. The main characteristics of the program-controlled installation of the model A17 for MAP surfaces up to 200 mm in size are presented. The presented effective technology allows forming a surface nanorelief with a roughness parameter Ra of less than 5 angstroms. It allows to significantly increase the laser induced damage threshold of the active elements of optical and laser systems.