The National Security Bureau says there have been 28 threatening emails, including bomb threats, since a documentary critical of China began being screened across Taiwan in October.
The award-winning documentary film "State Organs" has been screened at movie theaters.
According to the bureau, several of those theaters have received threatening emails warning that explosions or the shooting of firearms would happen on their premises if they did not stop showing the film.
The N-S-B says although none of the threats were not carried out, police patrols have been increased around movie theaters in cities including Taipei, New Taipei and Kaohsiung.
Intelligence agency officials say that believe the threats are being sent by so-called "cyber warriors" associated with the Chinese government.
The documentary highlights the issue of government-sanctioned forced organ harvesting in China.
It was an official contender for Best Documentary Feature at the 97th Academy Awards.
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