The fashion designer and film director has been with Buckley, a journalist, since 1986.
The news was revealed via a tweet from the editors of Love magazine, which read: "Congratulations to Tom Ford and Richard Buckley who have announced the birth of their son Alexander John Buckley Ford."
According to WENN, the new baby boy was born in Los Angeles on September 23, though there are no other details on the child's birth.
Ford, 51, is known for dressing some of the biggest Hollywood stars including Gwyneth Paltrow.
In 2009, he directed Colin Firth in the critically-acclaimed film A Single Man.