Angular momentum pumps are very often applied in ships. Because the pumps are operating in hard conditions they are produced from cavitation wear-proof and electrochemical corrosion-resistant materials. The most common damage of pump shaft is neck wear in place where seals are mounted. Burnishing as modern finish plastic tooling method makes it possible to achieve high technological quality of elements. Due to many burnishing advantages, the method was proposed for treatment of angular momentum pumps shafts instead of finish machining (finish turning, grinding, lapping). The goal was to estimate optimal burnishing parameters that enable obtaining higher strength and the lowest roughness factor of angular momentum pumps shafts. Shaft necks were made of stainless steel type X5CrNi1810. Roller burnishing tool SRMD type produced by Yamato was used in the research work. Its axis was parallel to working shaft axis. During working, technological parameters such as force, velocity and feed were changed.