Rio organizing committee chief executive Leo Gryner says Havelange is a "historical icon" of Brazilian sport, and he is proud to be associated with him.
The Joao Havelange Olympic Stadium will host athletics at the 2016 Summer Games.
Swiss court documents published last month showed Havelange in the 1990s received millions of dollars in a World Cup kickbacks scandal.
Havelange paid a Swiss court about $550,000 to end a criminal investigation into alleged embezzlement.
FIFA President Sepp Blatter has said 96-year-old Havelange "can't remain honorary president" of football's world governing body.