Abstract: A contrivance for the cutting-deforming of cylindrical surfaces comprises a housing wherein are installed in succession a head with at least two deforming rollers and a tool-holder adapted for movement in a plane perpendicular to the direction of a longitudinal feed. The tool-holder has an opening for passing a workpiece to be machined and accommodates a main pair of cutting tools and at least one additional pair of cutting tools. The cutting tools of the main pair are disposed oppositely in relation to a cylindrical surface under machining and in one plane with the deforming rollers. The deforming rollers are disposed relative to the cutting tools of the additional pair at a distance not multiple of a distance between the main and additional pairs of cutting tools equal to 0.1-1.5 of the value of a set-up size of the cutting tools of the main pair.