Online pictures of the actress, 24, who won an Academy Award for "Silver Linings Playbook" and stars in "The Hunger Games" movie franchise, began appearing on Sunday. The source of the hack was unclear.
Images purporting to be of dozens of other female actresses, models and athletes were also posted. The authenticity of many could not be confirmed.
"This is a flagrant violation of privacy. The authorities have been contacted and will prosecute anyone who posts the stolen photos of Jennifer Lawrence," spokeswoman Liz Mahoney said in an emailed statement. She did not say who was contacted.
Model Kate Upton was among celebrities whose photos were posted online. Her lawyer, Lawrence Shire, called them "an outrageous violation" of her privacy.
"We intend to pursue anyone disseminating or duplicating these illegally obtained images to the fullest extent possible," he said in a statement.
The photos were posted on the image-sharing forum 4chan. Britain's Mirror website quoted the anonymous uploader as saying on the site he or she was a collector, not the hacker.
The uploader said the photos had generated $120 in bitcoin, a digital currency, but added: "I really didn't get close to what I was hoping.
NBC News said Apple Co iCloud accounts had apparently been hacked to get the photos. Apple spokeswoman Nat Kerris said in an email: "We take user privacy very seriously and are actively investigating this report.
A spokesman for the FBI was not immediately available to comment.
Actress Mary Elizabeth Winstead said on Twitter that nude photos of her were also posted online. She said the photos had long been deleted.
"I can only imagine the creepy effort that went into this. Feeling for everyone who got hacked," said Winstead, who starred in "Smashed" and "Abraham Lincoln: Vampire Hunter."