The Transformers star, 30, teamed a suit and tie with white sneakers for the occasion, while his bride wore a white sweater dress as they walked down the aisle at Viva Las Vegas, a chapel famed for its themed ceremonies. Shia and Mia apparently chose to have an Elvis Presley impersonator officiate, while a woman dressed in Hawaiian garb was also spotted at the wedding. Reports suggest both the stars' mothers were on hand to witness the bizarre nuptials.
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The whole event was live-streamed online, and both the bride and groom couldn't hide their happiness as they tied the knot and sealed the deal with a big kiss.
Venue bosses also celebrated the union by putting the couple's names up on a big electronic sign outside the chapel.
The actors' publicists have yet to confirm if the marriage is for real.
News of the couple's engagement heated up in March, 2016 when the movie star reportedly told a grocery store cashier he was planning to wed Mia.
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Their representatives refused to confirm or deny the claims, but Goth was spotted wearing a large diamond on her left ring finger, and in February, 2016 Shia called the actress his fiancee while executing his performance art project #Elevate, during which he rode an elevator with strangers for an entire day.
Shia and Mia met and fell in love while shooting Nymphomaniac: Vol. II in 2012.
The couple had also been dogged by rumours of an engagement early last year, before splitting that summer after the actor was caught on tape threatening Mia during a fight on a street in Germany. In the footage, LaBeouf was heard telling Goth he didn't want to be abusive and, after walking away, he snarled, "If I'd have stayed there, I would have killed her."
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They subsequently reunited.
LaBeouf previously dated stylist Karolyn Pho and another British actress, Carey Mulligan. Mulligan has since wed her childhood sweetheart Marcus Mumford, the frontman for rockers Mumford & Sons. The couple became parents last year, when The Great Gatsby leading lady gave birth to daughter Evelyn.
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