The method for forming rings of uniform thickness from an active brazing alloy by melt-spinning the liquid alloy has the following steps: The alloy is liquefied in a crucible having a lateral opening whose height is approximately equal to the width of the ring material; the liquid alloy is forced out of the crucible onto the side surface of a metal drum of high thermal conductivity at a radial distance from the drum center approximately equal to the ring diameter, said metal drum rotating at a high circumferential velocity at a distance from the crucible approximately equal to the ring thickness; after an,,,approximately quarter to three-quarter turn of the active brazing alloy solidified on the metal drum into ring material, the latter is lifted off the metal drum by a mechanical deflector or a gas stream blown onto it in a direction opposite to the direction of rotation of the metal drum, and guided past the crucible; the ring helix being formed is guided around a lateral, coaxial extension of the metal drum which is located on one side of the crucible, serves as a winding mandrel, and has an end flange and a diameter slightly smaller than the inner diameter of the rings, and from the ring helix, the rings are cut off.