Gibb's representative Doug Wright announced in a statement that Gibb passed away Sunday "following his long battle with cancer and intestinal surgery."
Gibb was one of three brothers whose soaring falsetto harmonies helped power such hits as "Stayin' Alive" and "Night Fever."
The band was best known for the influential "Saturday Night Fever" soundtrack album that became one of the fastest selling albums of all time. The 1977 soundtrack came to epitomize the flashy disco era.
Gibb enjoyed a long career as a Bee Gee and as a solo artist and also produced and wrote songs for many other performers.
He appeared gravely ill at his recent public appearances and had to cancel a string of meetings as his condition worsened.