Turner denied claims of abuse by his former wife
He died at his home near San Diego, California. There was no immediate word on the cause of death.
He rose to fame in the 1960s, and is best remembered for his musical partnership and stormy marriage with Tina Turner.
She said he abused her, but he somewhat rehabilitated his image in his later years, winning a Grammy in 2007.
"Ike Turner passed away this morning. He was at his home," said Scott Hanover, an official at the performer's management company.
Turner, a member of the Rock and Roll Hall of Fame, is credited by many music historians with making the first rock 'n' roll record in 1951.
Turner was also known as a prolific session guitarist and piano player.
After marrying Tina Turner in 1959, the pair produced a string of hits, including A Fool In Love, It's Gonna Work Out Fine.
The song River Deep Mountain High, produced by Phil Spector, was one of their most successful singles.
But Mr Turner will be forever remembered for his turbulent relationship with Tina Turner, the BBC's Peter Bowes in Los Angeles says.
In 2001, Mr Turner denied his ex-wife's claims that he abused her and expressed frustration that he had been demonised in the media.
In 2007, he won a Grammy award in the traditional blues album category for Risin' With the Blues.