The study by Pew Research found that over half of parents asked 'strongly dislike' having pictures of their kids shared on the social network.
Amy Webb, an author, mother and CEO of Today.com, feels so strongly about the issue she asks other parents to crop their daughter out of any photos they post online.
Webb said: 'With every status update, YouTube video, and birthday blog post, Kate's parents are preventing her from any hope of future anonymity.'
The 39-year-old says her decision is based on 'a personal preference based on what we know about how digital media is evolving.'
And it seems she's not alone.
Erika Elmuts, founder of ConsciousParents.org said she's happy to email pictures of her daughter to loved ones, but she will not post them on social networks as she doesn't feel it's 'private' enough.
The San Diego mother, 42, says it's not fear of something bad happening that prevents her putting pictures up of her 8-year-old, but more that she wants to be able to control who sees them.
Read: parents to face hefty fine if their children are late for school
Shockingly, when she discovered a friend of her ex-husband was posting 'hundreds' of pictures of her daughter on the site, and politely expressed she stop, she was unfriended by the individual - a reaction Erika found staggering.
'The fact that there are people who would go against another mother's wishes just blows my mind,' she said of the incident.
What do you think about sharing pictures of your kids on social networks? Would you be happy for your friends and family to do the same, or would you want them to check with you first before doing so?