But in a TV interview with CBS program 60 Minutes, the action star turned politician said he wanted to write a book that included what his "failures" as well as his successful and multi-faceted career.
Schwarzenegger's book Total Recall: My Unbelievably True Life Story, is to be published on October 1.
Publisher Simon & Schuster has said the former California governor began writing it before the May 2011 scandal over the son he fathered with his housekeeper while married to Maria Shriver.
The revelations led the couple to start divorce proceedings ending their 25-year marriage.
In an interview with 60 Minutes, which will air Sunday, journalist Lesley Stahl asked Schwarzenegger, 65, if Shriver knew the affair was in his book.
"She knows that it's about my whole life and that I would not write a book and kind of leave out that part and make people feel like, 'Well, wait a minute. Are we just getting a book about his success stories and not talk about his failures?' And that's not the book I wanted to write. I wanted to write the book about me. Here's my life."
According to an advance copy obtained by the New York Daily News, Schwarzenegger writes that he and housekeeper Mildred Baena had sex in 1996 while his family was away on vacation.
The Austrian-born former body-builder, who became one of Hollywood's biggest movie stars, is promoting the book on his official website with a video and the tagline, "This story you know. Are you ready for the story you don't?"
Since ending his term as Republican governor, Schwarzenegger has returned to movies with The Expendables 2 in August and has five more films in the pipeline. He has launched a global policy think tank in his name at the University of Southern California in Los Angeles campus.