The 26-year-old actress is rumored to be dating the 47-year-old director after the pair worked together over the summer.
According to People, Lawrence and Aronofsky have been "hanging out and are casually dating."
The couple was even spotted having lunch together in August, adding more fuel to the dating rumors.
Both Lawrence and Aronofsky have dated people in the entertainment world in the past. Lawrence was in a relationship with actor Nicholas Hoult for many years and split with Coldplay's Chris Martin a little over a year ago.