Matt Damon wanted to make an honest woman of Luciana

NEW YORK -- Us Weekly has learned exclusively that actor Matt Damon, 35, and girlfriend of two years Luciana Barroso, 30, got married this morning in New York City in a brief ceremony officiated by a justice of the peace. Damon's publicist Jennifer Allen confirmed the wedding to Us. Sources tell Us that Damon and Barroso, a former bartender who is about three months pregnant and has a 6-year-old daughter from a previous relationship, exchanged vows in front of Barroso's daughter Alexa. A source at New York City Hall confirms to Us that the couple wed this morning inside city hall. ''They did it real quick and then started calling all their friends with the good news,'' says a Damon pal. ''It's not a secret. They're telling everyone.'' [Us]