The victory marks the third major award won by the 23-year-old actress for he performance on the film. Lawrence also received a Golden Globe and a Screen Actors Guild award for her role as Rosalyn Rosenfeld in the crime comedy-drama flick.
Because Lawrence did not attend Sunday's event, her award was accepted by Russell.
Chiwetel Ejiofor, Barkhad Abdi and Cate Blanchett were named Best Actor, Best Supporting Actor and Best Actress, respectively, during the BAFTA ceremony.
You can check out a full list of the BAFTA award winners here.
Lawrence is also nominated for an Oscar for her role in America Hustle. The Hunger Games star is also expected to be a presenter during the March 2 Academy Awards ceremony.