Latin-American name. In Latin-American, the name Luna means-the moon. Other origins for the name Luna include-Latin-American, Latin.The name Luna is most often used as a girl name or female name.Latin-American Name Meaning-the moon.Origin-Latin-America.n Latin-American, the name Luna means-the moon. Other origins for the name Luna include-Latin-American, Latin.The name Luna is most often used as a girl name or female name. Latin-American Name Meaning-the moon. Origin-Latin-America.