With no notice, Facebook has removed the video, Cosmopolitan reported on Monday.
Reacting to the Facebook response, many users are sharing the video again.
"Monet Nicole Moutrie was banned from Facebook again, this time for this video. Share far and wide!", wrote one user.
Making her dissatisfaction public, Ms Moutrie said in blog post that the video was removed for violating community standards.
As per its community standards, Facebook removes "photographs of people displaying genitals or focusing in on fully exposed buttocks." It also restricts "some images of female breasts if they include the nipple, but our intent is to allow images that are shared for medical or health purposes."
Ms Moutrie said that there is nothing more antithetical to community than the restriction and censorship of birth, family and life.
"Facebook, LIFE should never be against your community standards," she added.
The birth photographer pointed out that seeing and sharing real images of birth are important.
"They bring life and light into dark corners and places. They offer people around the world the opportunity to learn about their bodies and the process of reproduction," she said.
Instead of banning birth videos, Facebook, Ms Moutrie suggested, should focus on removing from its platform depictions of women that make young girls feel inferior, ugly, or lost.
Ms Moutrie requested Facebook to put the video back up, adding that she is "scared but hopeful."