The 42-year-old actor said she is "beyond devastated" after the death of "my love, my rock, my protector".
"His brilliant, fearless spirit touched and inspired so many, and his generosity knew no bounds. He was my love, my rock, my protector. I am beyond devastated. My thoughts are with his family. I would ask that you respect their privacy and mine," she added.
CNN, which aired the series, reported that the cause of his death was suicide. Bourdain was in Strasbourg, France, to shoot for the new season of the show.
The TV personality's friend, French chef, Eric Ripert, had found him unresponsive in his hotel room.
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