The 21-year-old's show was announced earlier this year and described as an intimate look at her "journey as a daughter, a mother and a young woman making her way in the world".
Deadline reports that the programme drew in a dismal 726,000 viewers in total, with only 254,000 in the coveted 18-49 demographic.
Palin gave birth to son Tripp Easton Mitchell in 2008, during her mother Sarah Palin's vice presidential campaign. She split from boyfriend Levi Johnston shortly after.
In recent years she has become a teen pregnancy prevention spokesperson, and appeared on Dancing with the Stars and The Secret Life of the American Teenager.
She revealed in a recent interview that she might consider running for public office.