"Mr Hibbert is survived by his wife of 39 years, Miss D, and his seven of eight children."
One of Jamaica's most influential musicians, he helped popularise reggae in the 1960s with songs such as Pressure Drop, Monkey Man and Funky Kingston.
He had the number 1 single in New Zealand with his song Beautiful Woman in 1982.
He even claimed to have coined the genre's name, on 1968's Do The Reggay.
Hibbert's family said he had died on Friday.
The musician was later placed in a medically-induced coma, and a spokesman said the musician was "fighting for his life."
