Abstract: In a method for the radial expansion of rings, in particular by means of rolling tools, it is provided in accordance with the invention that the radial surfaces and the end faces of the ring that is to be machined are machined in alternation using the same pair of tools. The apparatus for performing the method includes a ring rolling machine in which the ring that is to be formed rests on a support that is pivotable by 90.degree. to alternatively bring the radial surfaces and the end faces of the ring into engagement with the tools.