Meaning Eunice means fair win. The name also has biblical roots. Origin of Eunice Greek Popular Middle Names Andrea, Catalina, Natalia Pronunciation 🔊 Listen Eunice YOO-nis Similar Names Moria Sayde Annaleace Nicoletta Eastre Eiluned EurolwVn Eurynome Enerstyne Eustada Year by Year Popularity of Eunice