At one point, Driver blows smoke at the camera zooming in on him.
Annette is French director Leos Carax's first movie in nearly a decade.
While five minutes is a long standing ovation by any standards, it did not break any Cannes records. Guillermo del Toro's "Pan's Labyrith" famously received a 22-minute standing ovation in 2006.
Annette stars Adam Driver and Marion Cotillard. The musical film is about a stand-up comedian (Driver) and a famous opera singer (Cotillard) and how their life changes following the birth of their daughter.
The film has previously made headlines for the scene where Cotillard and Driver had to sing live while simulating oral sex.