The video shows the 32-year-old actress topless, vomiting and with her head exploding.
The film - to promote the band's single 'Doom And Gloom', which came out last month - also shows her shooting the heads off zombies, flashing at motorists and with her teeth smeared with blood, reported The Telegraph.
Swedish star Rapace found worldwide acclaim when she starred in the screen adaptation of 'The Girl With The Dragon Tattoo', and its follow-ups.
The video has been directed by fellow Swede Jonas Akerlund who made Madonna's 'Ray Of Light' video.
Rapace is seen taking over vocal duties for the Rolling Stones from Mick Jagger, as well as filling the drum stool alongside Charlie Watts.
The band filmed their section in a warehouse in Paris, where they had been staying during rehearsals for their handful of live shows which begin at London's O2 Arena today.
The actress, who played abused Lisbeth Salander in the Dragon Tattoo films, based on Stieg Larsson's Millennium trilogy, is seen playing a range of wild characters.
In one scene in the Stones video she is topless and another she is on a bed of US bank notes.
