Elves created the Rings of Power with Sauron’s influence in J.R.R. Tolkien’s legendarium. The Elven-smiths of Eregion, led by Celebrimbor, made the rings after Sauron taught them skills in ring-making while disguised as the helpful figure Annatar.
The three Elven Rings were made independently from Sauron’s direct touch, although their existence remained connected to the wider ring-making project. The seven rings were given to Dwarf-lords, and the nine were given to Men. Sauron secretly made the One Ring to control the others.
In Tolkien’s chronology, the Rings of Power belong to the Second Age, long before the events of The Hobbit and The Lord of the Rings. Eregion was an Elven realm near Khazad-dûm, later known as Moria.
A common mix-up is saying that Sauron personally forged every ring. Tolkien’s account instead distinguishes the Elven craftsmen from Sauron’s later creation of the One Ring and his role in teaching the ring-making craft.