The news of Saturday's wedding comes less than two weeks after Twain confirmed her engagement  on her website.
The five-time Grammy winner previously was married to music producer Robert "Mutt" Lange, while Thiébaud is divorced from ex-wife Marie-Anne Thiébaud.
The two reportedly started dating in 2009 following allegations that their then-spouses were having an affair. Each has a child from their previous marriage.
Twain, one of country music's top-selling artists, is set to star in her own TV show, Why Not? With Shania Twain, for the newly launched OWN: The Oprah Winfrey Network. She also recently signed a book deal with Simon and Schuster's Atria Books to publish her autobiography.
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