Maurice Gibb died in January 2003 at the age of 53 following intestinal surgery.
"Maurice loved life. We want to celebrate his life and talent the best way we know how -- through music," said Robin, Maurice's twin.
The concert will benefit the Gibb Family Foundation, a charity in memory of Maurice and brother Andy, who died in 1988 at age 30 of a heart attack.
Travolta has been asked to host the concert because of his starring role in "Saturday Night Fever," which featured a Bee Gees soundtrack of hits such as "Stayin' Alive," "You Should Be Dancin'" and "Night Fever."