The Pirate Bay indexed files available on peer-to-peer file-sharing services and allowed users to search for the files they wanted through the Pirate Bay and then download them directly from the machines they were stored on.
The four owners of the BitTorrent search engine were charged with infringing copyright law earlier this year and required to pay a £2.4 million fine, some of which would have been given to the production companies.
Despite the charges, the site remained open and active, and it appears it is this that has riled Hollywood.
"We have filed a complaint against The Pirate Bay because they have not stopped their activities after they were sentenced to prison," said Monique Wadsted, the lawyer representing the companies.
Peter Sunde, one of the four founders of the Pirate Bay, told the BBC he was unfazed by the latest law suit.
"The latest threats are just harassments from the industry of course. We've actually asked the courts to punish them with a high fine for the faulty threats," Sunde said.