The maid of honour was the bride's sister, singing star Wynonna Judd, and the groom's brother, Marino Franchitti, served as best man, according to a brief statement issued in Los Angeles.
The couple had been engaged for about two years, the actress' spokesperson said.
The star of such films as Where the Heart Is and Kiss the Girls wore a long, white gown of silk and satin designed by Giorgio Armani, while the groom wore a jacket and traditional Scottish kilt, the statement said.
No further details were released. But the local registrar in the Scottish county of Sutherland reported earlier in the day that the ceremony was to take place there.
Judd followed in the footsteps of pop star Madonna when she posted the banns in Dornoch, prompting speculation that her wedding to Franchitti, a Scot, would also take place at nearby Skibo Castle.
Skibo Chief Executive Maryann Lutyens declined to comment, stressing the venue's reputation for maintaining the privacy of its clients. Madonna married film director Guy Ritchie at Skibo Castle a year ago.
Wedding guests and Judd's family had been arriving in Scotland over the past week. Actor Edward Norton, narrator in the movie Fight Club2, landed at Inverness, but he declined to say whether he was there for the wedding.
News reports listed Welsh-born actress Catherine Zeta-Jones and her actor-husband, Michael Douglas, among the guests.