Adison \a-di-son\ as a girl's name (also used as boy's name Adison), is a variant of Addison (Old English), and the meaning of Adison is "son of Adam". The baby name Adison sounds like Adisson, Addyson and Addeson. Other similar baby names are Alison, Adin, Alyson, Allison, Alisan, Alisun, Alisoun and Madison.