Both leading shows star Stephen Graham, and he is nominated for best actor for his role as a distressed dad in Adolescence.
The show, which sparked a national debate about teenage violence and social media when it was released a year ago, is up for best limited drama.
It also has an impressive five acting nominations in total – for Christine Tremarco, Ashley Walters and Owen Cooper alongside Doherty and Graham.
The other best actor nominees are Colin Firth (Lockerbie: A Search for Truth), Ellis Howard (What it Feels Like for a Girl), James Nelson-Joyce (This City is Ours), Matt Smith (The Death of Bunny Munro) and Taron Egerton (Smoke).
The best actress shortlist also includes Jodie Whittaker (Toxic Town), Narges Rashidi (Prisoner 951), Sheridan Smith (I Fought the Law) and Sian Brooke (Blue Lights).
As well as Doherty’s nomination, A Thousand Blows is also up for the prestigious best drama prize alongside last year’s winner Blue Lights, plus Code of Silence and This City is Ours.
