Philip Berk, 88, had been a member of the Hollywood Foreign Press Association (HFPA) for 44 years and its president for eight years.
In a group email with HFPA members, Berk reportedly shared an article that described BLM as a "racist hate group".
He later said he regretted sending the email, the Los Angeles Times reported.
He told members he had "forwarded it as a point of information", according to the paper.
The Golden Globes are the most high-profile film awards in the US after the Oscars, but Berk's departure has deepened a crisis at the HFPA.