Addison \a-ddi-son\ as a boy's name (also used as girl's name Addison), is pronounced AD-ih-sun. It is of Old English origin, and the meaning of Addison is "son of Adam". Surname used as a given name. The surname was derived from Addie or Adie, a medieval (and occasional modern) pet form of Adam. The English poet and essayist Joseph Addison was popular and influential through the 18th century.