Since the video was made public, more than 68,000 people have signed PETA's petition calling on Hermes to "stop buying and selling crocodile- and alligator-skin accessories immediately."
In a statement following the investigation, Birkin said she had asked the fashion group to remove her name from the crocodile-made bags.
"Having been alerted to the cruel practices endured by crocodiles during their slaughter for the production of Hermes bags carrying my name … I have asked Hermes Group to rename the Birkin until better practices responding to international norms can be implemented for the production of this bag," she said.
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Hermes said in a statement that they respected and shared the emotions of the actress, adding that they too were "shocked by the images recently broadcast."
Hermes however, stressed that the farm in Texas did not belong to them and the skins weren't used by the firm.
"An investigation is underway at the Texas farm which was implicated in the video. Any breach of rules will be rectified and sanctioned."
"Hermès imposes on its partners the highest standards in the ethical treatment of crocodiles. For more than 10 years, we have organized monthly visits to our suppliers."