Johansson has been nominated for her role in sci-fi thriller Under The Skin, while Dench landed a nod for her film Philomena, and the two stars will go up against Lindsay Duncan (Le Week-end), Felicity Jones (The Invisible Woman) and Saoirse Ronan (How I Live Now).
James MCAvoy is up for the Best Actor prize for his role in crime comedy Filth and will compete against Tom Hardy (Locke), Jack O'Connell (Starred Up), Jim Broadbent (Le Week-end) and Steve Coogan (Philomena).
Woody Allen's Blue Jasmine is in the running for Best International Film, along with Blue is the Warmest Color, Frances Ha, Italian movie The Great Beauty and Saudi Arabian/German picture Wadjda.
Nominations for Best British film include Metro Manila, Philomena, The Selfish Giant, Starred Up and Le Week-end.
The prizegiving will be hosted by Northern Irish actor James Nesbitt in London on 8 December (13).