In a statement, South Africa's New Vision Pictures and Out of Africa Entertainment and U.S. producer Rick Leed say the show is set to debut early next year.
They say it will "highlight the next generation of this unique South African family," and give a glimpse into their daily lives and conflicts.
The producers said Thursday the granddaughters would not speak to The Associated Press. Attempts to reach the three young women were not immediately successful.
Mandela became South Africa's first black president after 27 years in prison for his fight against apartheid. He has 17 grandchildren, including a grandson who is a member of parliament.