Broadbent has been tipped in the Leading Actor category for his role in Any Human Heart, while Smith has received a nomination for his portrayal of the Time Lord. They face competition from Benedict Cumberbatch (Sherlock) and Daniel Rigby (Eric and Ernie).
Hit musical series Glee will go up against Boardwalk Empire, The Killing and Mad Men for International Series, while Being Human, Downton Abbey, Misfits and Sherlock are all named in the Drama Series category.
Others hoping for gold at the upcoming London ceremony include funnyman Stephen Fry, whose quiz show QI is nominated along with The Rob Brydon Show, Harry Hill’s TV Burp and The Graham Norton Show for the Entertainment Performance prize.
Simon Cowell's The X Factor has a nod for top Entertainment Programme and will compete against action game show The Cube, The Graham Norton Show and panel quiz series Have I Got News For You.
The prizegiving will take place on 22 May (11).