The Bee Gees star was reported to have passed away earlier today (May 20) after a lengthy battle with colon and liver cancer.
Gibb's family confirmed the news in a statement, saying: "The family of Robin Gibb, of the Bee Gees, announce with great sadness that Robin passed away today following his long battle with cancer and intestinal surgery.
"The family have asked that their privacy is respected at this very difficult time."
Gibb had been diagnosed with colon and liver cancer in 2011, from which he announced he had recovered in February. In April, he suffered a pneumonia setback before slipping into a coma, but was last week revealed to be awake and responsive in hospital.
Before his cancer diagnosis, Gibb had been working on classical composition The Titanic Requiem to commemorate the 100th anniversary of the disaster, but was too ill to attend its premiere in April in London.
Robin Gibb, along with brothers Maurice and Barry, formed the Bee Gees in 1958, with the trio's best-known hits including 'Saturday Night Fever', 'Stayin' Alive' and 'How Deep Is Your Love'.
The Bee Gees earned nine Grammys and inductions into the Hollywood Walk of Fame and the Rock 'N' Roll Hall of Fame during a career spanning six decades and millions of records sold worldwide.
Gibb is survived by Barry, wife Dwina, daughters Melissa and Snow Robin and sons Spencer and Robin-John.
Photo gallery: Robin Gibb's life and career in pictures:
Copyright: Rex Features Jim Fenwick/Newspix