The couple, who got engaged last Christmas Day after almost five years together, tied the knot in front of their close friends and family.
Also witnessing the ceremony was their two children, Levi, who turns 4 next month, and daughter Vida, 2½.
Camila Alves has taken Matthew McConayghey’s surname and has officially become Camila McConaughey, the actor’s representation told the publication.
It is said that the couple kept the nuptials a secret from some guests up until the very last minute.
Yesterday, plans were well underway for the nuptials with a sea of camping equipment acting as accommodation for their guests.
The couple is believed to have provided guests with the state-of-the art tents which line the back yard.
The luxury temporary abodes, numbered 1-47, are in four rows in the garden and are said to be kitted out with beds, cosy white fur rugs on the floor, and outdoor seating with doormats at the front.
They have also been equipped with what appears to be high-tech air-conditioning units.
Yesterday Matthew McConaughey, 42, appeared to be relaxing in a hammock as preparations went on around him, with a giant white marquis erected – no doubt where the happy couple walked down the aisle this evening.
Also visible from the bird’s eye view were seven long, wooden dinner tables, that seat 18 people each.
There were boxes of candles that also looked set to provide extra romance for this evening spectacular event.
Security was on hand at the three-story, seven-bedroom mansion, called Old Oak Estate.
Just two dozen close friends and relatives are thought to have been invited to the “cosy” celebration, with those working at the event signing a nondisclosure contract, according to E! News.
Camila Alves, 29, was due to be honored at the Step Up Women’s Network event in Beverly Hills yesterday but instead sent a video message so she could remain close to the wedding plans.
The Brazilian model recently said she didn’t expect marriage to alter their relationship.
“We’ve been living a married life for over six years now,” she says.
“We have homes together, we have family together, we have kids, we’ve built a life together. So, we’ve been living a married life this whole time.”
Matthew McConaughey recently moved his family back to Austin, Texas because he loves the laid-back vibe of the city and enjoys a level of anonymity he cannot achieve elsewhere.
The actor said: “No one recognizes you and no one asks you, <<Hey, what do you do?>>, because I don’t think anyone cares.
“Fridays show up sooner here. You want to get along in Austin, you want to get along in Texas, all you have to do is be yourself.”
Matthew McConaughey previously dated Penélope Cruz and Ashley Judd.
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