Jackman will face off against four others for the prestigious award, after the nominations were announced in London on Wednesday.
Steven Spielberg's political drama Lincoln, the film version of hit stage musical Les Miserables and Ang Lee's Life of Pi lead the nominations for best film.
All three are in the running for best film in the British awards, viewed as one of the indicators of Oscars glory, alongside Kathryn Bigelow's Osama bin Laden manhunt movie Zero Dark Thirty
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and Iran hostage drama Argo.
Lincoln received 10 nominations in total, including for best actor for Daniel Day-Lewis, best supporting actor for Tommy Lee Jones and best supporting actress for Sally Field, although
Spielberg was overlooked for best director.
Les Miserables took nine nominations including best supporting actress for Anne Hathaway and best British film.
Life of Pi also has nine nominations, including best director for Ang Lee, who is up against Bigelow, Ben Affleck for Argo, Quentin Tarantino for Django Unchained and Michael Haneke for
French-language film Amour.
Javier Bardem is up for best supporting actor for his role as the villain in the latest and most successful Bond movie, Skyfall, among eight nominations which also include best supporting actress for Judi Dench and best British film.
Affleck was nominated in the leading actor category alongside Day-Lewis, Jackman, Bradley Cooper for Silver Linings Playbook and Joaquin Phoenix for The Master.
In the leading actress category are Cooper's co-star Jennifer Lawrence, Jessica Chastain for Zero Dark Thirty, Marion Cotillard for Rust and Bone, Helen Mirren for Hitchcock and Emmanuelle Riva for Amour.
Alongside Bardem and Lee Jones in the supporting actor category are Alan Arkin for Argo, Philip Seymour Hoffman for The Master and Christoph Waltz for Django Unchained.
Dench, Field and Hathaway are in the running for best supporting actress alongside Amy Adams for The Master and Helen Hunt for The Sessions.
The BAFTA awards ceremony will take place on February 10 at the Royal Opera House in London.
