Meaning Variant of Damon, the name means to discipline and tame. Origin of Damoni English Popular Middle Names Achilles, Amir, Jose, Josiah Pronunciation 🔊 Listen Damoni dah-MOH-nee Similar Names Damocles Damario Daedalus Caetano Bancrofft Banjamen Banjamino Banjamon Benecroft Collis Year by Year Popularity of Damoni