Actor Matthew McConaughey has married his model fiancee Camila Alves.

The Sahara star and the Brazilian beauty, who have been together for six years, exchanged vows on Saturday n an intimate, private ceremony in his native Texas, according to America's People magazine.

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The ceremony on Saturday night was attended by a handful of close friends and family, including the couple's two children: son Levi, three, and two-year-old daughter Vida. A reception was held in marquees erected in the grounds of the stars' Austin home.

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McConaughey, 42, and Alves, 30, got engaged on Christmas Day last year.