His family added Jones was “truly one of a kind” who they would “miss dearly”.
“We take comfort and immense pride in knowing that the love and joy, that were the essence of his being, was shared with the world through all that he created,” they added.
“Through his music and his boundless love, Quincy Jones’s heart will beat for eternity.”
His career, which spans more than 75 years, saw him achieve 28 Grammy award wins out of 80 nominations.
He was named one of the most influential jazz musicians of the 20th century by Time magazine.
Lionel Richie, who co-wrote We Are The World and was among the charity single’s featured singers, called Jones “the master orchestrator”.
Sir Michael Caine is among those who have paid tribute to Jones, describing him as a “titan in the musical world” and a “wonderful and unique human being”.
DJ David Guetta, who met Jones at the Grammys, described him as a “legend” whose legacy would “continue to inspire generations of artists to come”.