She began her career in dance in 1983 when she entered the Paris Opera Ballet School (L'École de danse de l'Opéra de Paris). She joined the company at age sixteen in 1987, and became a première danseuse in December 1996. Dupont was promoted to star dancer (Étoile) in 1998 after her performance as Kitri in Paris Opera Ballet's revival of Nureyev's production of Don Quixote. She has also starred in Paris Opera Ballet's revival of Nureyev's version of The Sleeping Beauty.
Dupont formally retired from the Paris Opera stage following a performance of Kenneth MacMillan's Manon on 18 May 2015. It was announced on 5 Feb 2016 that she would be the next director of dance for the Paris Opera Ballet after the resignation of Benjamin Millepied.
Dupont's repertoire includes: