It is one of four sports that Paris organisers will propose to the International Olympic Committee (IOC), as well as surfing, climbing and skateboarding.
Surfing, sport climbing and skateboarding will make their Olympic debuts at Tokyo 2020.
Breakdancing was included in the Youth Olympic Games in Buenos Aires in 2018.
The IOC will consider the proposal and must reach a decision by December 2020.
Russia's Sergei Chernyshev, competing under the nickname Bumblebee, won the first breakdancing - known as 'breaking' - gold medal for boys at last year's Youth Olympics.
Team GB had no breaking competitors in Buenos Aires.