The TV series is based on Fincher's own experiences as a music video director, reported Aceshowbiz.
Set in 1983 Los Angeles, the period drama centres on Bobby, a wide-eyed guy who drops out of college and drives to Hollywood with dreams of directing a sci-fi epic. He lands a job as a PA for a company making music videos.
Said to be in the vein of HBO's "Entourage", the new series revolves around the players of the then-exploding music video industry - directors, record executives and crew members, many of them who dabble in drugs - as told through the eyes of a newcomer named Robby.
No other details are available about the upcoming series as HBO has not commented on the report.
Fincher's previous TV project "House of Cards" has become a hit on Netflix.