Iran Press/America: The move means pages and profiles with links to the military will be harder to access, and fewer users will see the content they post.
Facebook also said it will delete posts that support the coup or call for violence against protesters after an activist was shot in the head by police this week.
Meanwhile, the UN issued a resolution calling on Myanmar's military leaders to release jailed leader Aung San Suu Kyi and to stop using violence against demonstrators.
The 47-member Geneva forum adopted a resolution brought by Britain and the EU unanimously without a vote, although Russia and China said afterward that they 'disassociated' themselves from the consensus.
Myanmar's envoy said before the vote that the resolution was not acceptable.
In addition to restricting some military-run pages, Facebook said it would be removing posts that claimed widespread voter fraud in Myanmar's election last year.
The military has used voter fraud as the justification for its coup, though the country's election watchdog says no evidence has been presented.
Rafael Frankel, Facebook's policy director for the Asia-Pacific region, said: 'We join with governments, the UN, and civil society around the world in calling for internet services in Myanmar to be restored immediately so that the people there can communicate with loved ones, express their political views, access important information, and run their businesses. We remain vigilant to emerging trends and will not hesitate to take additional measures as appropriate."
UN leaders were also urged to follow the United States' lead and impose sanctions on the military regime in an attempt to pressure generals to restore democracy.
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