Goodman, 68, and Barrett, 47, exchanged "I dos" at a surprise ceremony in front of 30 family members and friends. The couple have been together for more than 10 years.
"I've had a marvelous day, and now my gorgeous Sue is the new Mrs. Goodman," he told the newspaper. "I wanted it to be a low-key affair, so we didn't tell anyone except my 96-year-old mum as I didn't want her having a heart attack with the surprise."
This is the third marriage for the professional ballroom dancer and reality judge.