"Contrary to various entirely false media reports today, there has not been any kind of marriage ceremony in Thailand. She is on holiday," said Moss's spokesman, Stuart Higgins.
Various British news agencies had reported that the couple had been married in a candlelit Buddhist ceremony on New Year's Day in the Thai resort of Phuket, People Magazine reported.
A source told people that the couple sent out text messages wishing their friends a happy New Year, but did not mention a wedding.
Moss has a 4-year-old daughter, named Lila Grace, with ex-boyfriend Jefferson Hack.