Gibney will use journalists Jeff Benedict and Armen Keteyian's biography, "Tiger Woods", which was also released on Tuesday, as a foundation for the series.
Jigsaw did not say when production of the series will begin, and it has yet to be picked up by a distributor.
Woods, 42, the greatest golfer of his generation who closely guards his personal life and highly crafted image, is in the midst of his latest comeback from injury.
Woods did not speak with the biography's authors but did allow his chiropractor to speak on the record.
The book, which is published by CBS Corp's Simon & Schuster, sits in the top 40 on Amazon's best seller list and has so far received favourable reviews.
It examines Woods' life as a closely managed introverted child prodigy to a mixed-race global marketing phenomenon, and his mid-career fall from grace as a string of affairs and injuries took a toll on his image and performance.
Gibney's projects include scripted Hulu miniseries "The Looming Tower" and 2015 HBO Scientology documentary "Going Clear." He won an Oscar in 2008 for his Afghan war documentary "Taxi to the Dark Side."
(Reporting by Eric Kelsey; Editing by Susan Thomas)
