Moss, 36, and Hince, 40, exchanged vows before a handful of friends and family in a ceremony on the Mediterranean island, the Daily Mirror tabloid reported.
The model walked up the aisle barefoot and wore a see-through white gown for the ceremony in a small church.
Her daughter Lila Grace, from a previous relationship with magazine editor Jefferson Hack, was one of three ring bearers at the wedding.
Moss met Hince, guitarist with The Kills, three years ago.
The Daily Mirror reported that the wedding plans had been kept secret because the couple wanted to avoid media coverage.
Following the ceremony, local villagers reportedly joined in the celebrations outside the church.
Before her relationship with Hince, Moss had been romantically involved with Hollywood star Johnny Depp and wayward rocker Pete Doherty.
