Announcing the project, Kim said: "I know from first-hand experience that children are wise beyond their years and can come up with the craziest things, so imagine how funny it will be to see them make all the decisions."
Kim and her husband Kanye West have three children, daughter North, four, son Saint, two, and baby daughter Chicago, together.
The series will be available via mobile, desktop and Facebook's TV apps and is part of Facebook's big push to offer more television-quality projects via its Watch video platform.
Kim will be joined as an executive producer by Brian Tannenbaum, Peter M. Cohen, Melissa Stokes and Jennifer O'Connell.