"It is a fact--that long-rumored wedding," his Cable News Network reported.
Fonda wrote the couple's vows and was given away by her 18-year-old son, Troy. It also was Fonda's 54th birthday.
The two had been cryptic about their plans for months.
"You'll know when it happens," Turner, 53, said in October. "We think that's a private thing. We don't want helicopters buzzing over our house. It'll be small and private with just family and close friends."
He had said the couple planned to marry a year after their engagement, which they announced Dec. 7, 1990.
The marriage was the third for both Fonda, a two-time Academy Award-winning actress, and Turner, chairman of Turner Broadcasting System Inc., the parent company of CNN, and owner of the Atlanta Braves baseball team and the Atlanta Hawks basketball team.
The house at Turner's 8,100-acre Avalon Plantation is three miles down a red clay road lined by arching oak trees. A guard on horseback patrolled the lawn.
Guards at a gate barred the news media, but two news helicopters flew overhead. About a dozen reporters and photographers gathered in the road.