The Bourne identity star met Barroso - then working as a bartender - in April 2003 while filming Stuck On You in Miami.
The couple have three daughters: Stella, six, Gia eight, and Isabella who just turned 17 this month.
Matt Damon also won the Best Actor Oscar and Robin Williams won the Best Supporting Actor Oscar for his role in the film.
On the set of Good Will Hunting, Matt Damon met the director Steven Spielberg, who then offered him a role in Saving Private Ryan, the highly-acclaimed World War II film starring Tom Hanks and Tom Sizemore.
He had a single line of dialogue in Mystic Pizza, the rom-com that starred Julia Roberts.
After Geronimo: An American Legend, Matt Damon appeared in Courage Under Fire, playing a soldier with a heroin addiction.
Two of Matt Damon's biggest hits have both been film franchises.
However, on the "Oprah Winfrey Show", Damon announced they broke up.
Driver later was quoted as saying: "It's unfortunate that Matt went on Oprah.
He attended Harvard between 19 but never graduated, choosing instead to pursue his acting career.
He appeared in Geronimo: An American Legend, whilst still at university.