In Greek mythology, Anius was the son of Apollo and Rhoeo. When her father discovered her pregnancy, he placed her in a chest and cast her out to sea (parallel to Perseus). She landed on the island of Delos, which was sacred to Apollo. She gave birth to Anius on the island and he became a priest of Apollo. Later, he gave aid to Aeneas and his retinue when they were travelling from Troy to the future site of Rome.

Anius had three daughters: Oeno, Spermo and Elais.