The libretto, whose author is unknown, is based on the myth of Orpheus as told by Ovid in Book 10 of the Metamorphoses.
The opera is not to be confused with an earlier work, by Charpentier, Orphée descendant aux enfers H.471, which is a cantata for three male voices, 2 violins, recorder, flute, and bc.
Encouraged by his father Apollon (the god Apollo) Orpheus decides to follow Euridice to the underworld and rescue her.
Orpheus arrives in the underworld where he sees Tantale (Tantalus), Ixion and Titye (Tityus) being punished eternally for their crimes.
His music also wins over Pluton (Pluto, the god of the underworld), who allows him to return with Euridice to the world of the living providing he does not turn back to look at her before they have left the realm of the dead.