The IBA has made the move despite the fact that the boxing programme at the Paris Games will be run by the International Olympic Committee (IOC) after the federation was stripped of the role because of concerns about its financial transparency.
The IBA, which is backed by Russian gas giant Gazprom, is going further than World Athletics, which is paying $50,000 (£39,100) to gold medallists, but nothing to the minor medallists at this year's Games.
The IBA says it will pay gold, silver and bronze medallists bonuses from a total budget of $3.1 million (£2.4m).
World Athletics' move has attracted criticism from other federations and IOC president Thomas Bach has distanced himself from the move.
In an interview with AFP in April, Bach said: "The international federations have to treat all their member federations and their athletes on an equal basis and to try to balance this gap between the privileged and the less or underprivileged."
