"Yes they are married," Fox's representative told People.com.
Fox, 24, starred in two "Transformers" blockbusters and can be seen in the current release "Jonah Hex."
Green, 36, is best known for his work on TV's "Beverly Hills 90210" and "Terminator: The Sarah Connor Chronicles."
The couple began dating in 2004.
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'
Couple mistakenly served bag of cash at McDonald's drive-thru