The Daily Mail says the midfielder, who is out of contract at the west London club at the end of this season, is writing a series of books, called Frankie's Magic Football, for children aged five and over.
Publishers Little Brown said the books will follow the adventures of school boy Frankie, his football-loving friends, and pet dog Max.
Lampard said: "I first had the idea of Frankie and his Magic Football when reading stories to my own children.
"Sport and reading are two essentials for us at home, so I decided to make up my own football stories and adventures.
"The characters are loosely based on friends and team mates I've played with over the years. I am delighted that Little Brown liked the stories as much as my children and will be publishing the Frankie's Magic Football series."