Anderson, an animal rights activist, slammed the singer for wearing fur, and including fur in her new clothing line.
In an interview for the American magazine Jane, Anderson said, "People who wear fur smell like a wet dog and they look fat and gross. They look really immature and unenlightened."
"Every season the furriers put propaganda everywhere that fur is taking off again and they give free coats to idiots like Jennifer Lopez and Puff Daddy. It makes me nauseous."
Meanwhile, People for the Ethical Treatment for Animals, a US lobby group whose members include the former Baywatch star, is planning to step up its campaign against Lopez as she prepares to promote her new movie Monster-in-Law.