Shia LaBeouf, 30, has married his long-time girlfriend Mia Goth, 23, in Las Vegas on Monday (Oct 10), according to media reports.

News website TMZ live-streamed the ceremony, with the entire ceremony said to have cost the Hollywood star just US$700 (S$964).

A sign outside the Las Vegas venue, Viva Las Vegas chapel, read 'Shia and Mia' in bright lights, and the make-up free bride arrived in a pink corvette sports car driven by an Elvis Presley impersonator.

She wore a short crocheted white gown with long sleeves, while LaBeouf opted for a smart black suit with white button holes.

In pictures from the ceremony, the couple were shown embracing in front of a flower-decked altar, the Daily Mail reported.

The couple entered the chapel to an Elvis Presley song performed by the impersonator. After dancing happily, they got serious and exchanged some unorthodox vows.

The couple traded promises to adopt each other's dogs, to not wear their blue suede shoes in the rain, to be "one another's teddy bear" and to love each other "like a hunka hunka burning love", referencing some of the King of Pop's best-known hits.

The Viva Las Vegas chapel offers wedding packages from $275, but extras like live-streaming and impersonators cost more.

According to TMZ, the Hollywood couple opted for the 'Elvis Blue Hawaii package', which costs $700. This entitled them to an Elvis officiant, a hula dancer, six rose bouquets and matching boutonnieres, 10 candid ceremony prints and a limousine service.

The couple have been dating for four years since meeting on the set of the Lars von Trier movie Nymphomaniac: Volume II (2013).

It was first reported that they were engaged to wed in March 2015, when she started to wear a diamond ring on her ring finger, according to the Daily Mail.

Their relationship has been a rocky one. Last July, the pair were recorded fighting in a German street. The Transformers star was allegedly leaving for the airport, and his girlfriend took his backpack to get him to stay.

LaBeouf was overheard threatening to 'kill' Mia. The couple were not seen together for two months after that row, sparking rumours of a break up.

LaBeouf was also reported to have moved in with American Honey co-star Sasha Lane.

However, in November 2015, LaBeouf and Goth reunited.