Barry, who was awarded an OBE and won five Oscars throughout his career, had been suffering with bad health for some time and passed away after a heart attack.
An announcement on his website expressed its condolences, saying: “Sad that he has died, yes, but at least he will be at peace now after being in poor health for some time.
“We feel sure his name will live on forever, thanks to the extraordinary output of wonderful music he produced during his 50-year career.”
Barry arranged Monty Norman’s ‘James Bond Theme’ for the first Bond film Dr. No. and composed 11 scores for the films, including Goldfinger, regarded as the work which perfected the distinctive ‘Bond sound’.
Tributes have poured in from Twitter, including Stephen Fry who wrote: “John Barry has died. How sad. One of the greats and a real mensch [Yiddish, meaning ‘a person of integrity and honor’]. RIP”
Mark Ronson wrote: “RIP John Barry 1 of the greatest composers EVER.”
Barry’s most recent work included his musical score for war thriller Enigma in 2001, and a musical version of Brighton Rock in 2004, which he composed with lyricist Don Black.
Fellow Bond composer David Arnold told BBC Radio: “I think James Bond would have been far less cool without John Barry holding his hand.”