"It's what we have to start doing, unfortunately - at the expense of our creative dreams," she said.
Lawrence mentioned Cooper, Jeremy Renner and Christian Bale as American Hustle actors who "fought and succeeded in negotiating powerful deals for themselves" - in an essay for Lena Dunham's newsletter, Lenny.
Cooper received nine per cent of back-end profit from the 2014 film, compared to Lawrence's seven per cent.
The 25-year-old actress was named the world's highest-paid actress by Forbes magazine on $52 million, but felt there were still inequality issues that should be addressed.
Harry Potter actress Emma Watson showed her support for Lawrence on Twitter, as did Elizabeth Banks and actress Jessica Chastain.
In her essay, Lawrence took the blame for not fighting harder to get a better pay packet in American Hustle, which also stars Amy Adams.
She went on to mention there was an underlying pressure to be liked in the industry.
"When the Sony hack happened and I found out how much less I was being paid ... I didn't get mad at Sony. I got mad at myself," she wrote.
- nzherald.co.nz