Turner, who grew up in Warwickshire, shot to fame as Sansa Stark in HBO’s fantasy epic Game of Thrones, and went on to appear as Jean Grey in the X-Men films.
Tomb Raider will also star Alien actress Sigourney Weaver, the White Lotus’s Jason Isaacs and Celebrity Traitors contestant and Bridget Jones star Celia Imrie.
Fleabag writer Phoebe Waller-Bridge is behind the script for the show, based on the hit video game series first released in 1996.
At a time when female characters in games were rare, Lara became a sensation, featuring on magazine covers and becoming an icon for players worldwide.
The series was eventually rebooted in 2013, with Lara given a more grounded look and more emphasis placed on her characterisation.