Frank Sinatra, Sr., the Rat Pack star of the 1960s, died in 1998.
Sinatra was meant to perform at the Peabody Auditorium in Daytona Beach, Florida on Wednesday night as part of the Sinatra Sings Sinatra tour.
The theatre announced his death on its Facebook page, after posting earlier in the evening that the show was cancelled because the singer had fallen ill after arriving in town.
The younger Sinatra might be best remembered for being kidnapped at age 19 by a pair of young men hoping to extort money from his famous father.
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Sinatra was taken by gunpoint from Harrah's Casino in Lake Tahoe, California on December 8,1963, and held for a few days until his father paid the $240,000 ransom. He was released unharmed.
Tony Bennett, an old friend of the elder Sinatra, expressed his condolences to the family.
- AAP