Hubbard, who was born in Indianapolis, suffered a heart attack in November and had been receiving treatment in hospital.
His musical career began when he played mellophone in his school band and then switched to the trumpet.
Hubbard moved to New York in 1958, where he recorded his first album, Open Sesame, and as his name began to become well known he soon began to play alongside the legends of jazz.
He was on some of the top jazz records of the 1960s, including Herbie Hancock's Maiden Voyage, and John Coltrane's Ascension.
In the early 1970s, he went on to have great success with the solo albums Red Clay, Straight Life and First Light.
Hubbard’s wife, Briggie Hubbard, whom he had been married to for 35 years, and his son, Duane survive him.
