Parker followed his acting career with successful hotel and winery ventures around Santa Barbara.
A statement issued by his family did not reveal the cause of death.
Parker is survived by his wife of 50 years, Marcella, their son and daughter, 11 grandchildren and one great-grandchild who "spent a great deal of time with Fess in his final months and weeks," the statement said.
A native of Texas, Parker served in the U.S. Navy during World War II before graduating from the University of Texas-Austin in 1950.
He moved to Los Angeles in the early 1950s to pursue acting.
Walt Disney cast Parker in the lead role of "Davy Crockett, King of the Wild Frontier," co-starring Buddy Ebsen. He followed that with several more Disney films, including "Davy Crockett and the River Boat Pirates," "The Great Locomotive Chase" and "Smoky."
His TV career took off in 1964 with the title role in NBC's "Daniel Boone," which aired for for six seasons.
When the series ended in 1970, Parker became a real estate developer in Santa Barbara.
"After successfully opening three high-end mobile home parks, the 360-room Fess Parker Doubletree Resort opened in 1985," the family statement said. "It is one of the most successful hotels on the Santa Barbara waterfront."
Parker and his family also opened Fess Parker Winery on the Foxen in Los Olivos, California.
