O'Connor was scheduled to appear at the Scottsdale Civic Center Library on Sunday to talk about and read from the newly released book.
She had a best seller in 2002 with the memoir "Lazy B: Growing up on a Cattle Ranch in the American Southwest," written with her brother, H. Alan Day.
The new book, subtitled "A True Story from the Childhood of the First Woman Supreme Court Justice," is also about ranch life. Illustrated by painter Dan Andreasen, it tells of her horse Chico and a terrifying encounter she and Chico had with a rattlesnake.
O'Connor, who announced her retirement July 1, will talk only about her book and related stories, library officials said.
She also has written "The Majesty of the Law: Reflections of a Supreme Court Justice," published in 2003.