Abstract: A cold rolling machine and method for producing a profile on a workpiece. The cold rolling machine having two constructed tool units. Each tool unit has at least one rolling rod extending in the longitudinal direction, a tool slide, a slide drive device, a pivoting carrier and a pivot drive. The at least one rolling rod is fastened to the tool slide and can be moved in the longitudinal direction by the slide drive device. The pivoting carrier can be pivoted about a pivot axis extending in the longitudinal direction by a pivot drive. The tool slide is arranged on the pivoting carrier. An angle of inclination can thereby be set between the two rolling rods, which angle of inclination can have, for example, a value of 0 degrees to 2.0 degrees or to 0.2 degrees. Conical profiles can thereby be produced in the workpiece.