The Briton will compete with Leonardo DiCaprio, nominated for revenge epic The Revenant, which leads the pack for an Academy Award with 12 nominations.
Redmayne secured his nomination for his role as a transgender artist in The Danish Girl and will compete with Irish actor Michael Fassbender for Steve Jobs, Matt Damon for The Martian and Bryan Cranston for Trumbo. Redmayne took home the Oscar last year for his performance as Professor Stephen Hawking in The Theory Of Everything.
DiCaprio’s British co-star Tom Hardy received a best supporting actor nomination.
There were also nods for Welsh actor Christian Bale for The Big Short and Wolf Hall star Mark Rylance for Bridge Of Spies. They will compete with Sylvester Stallone for Creed and Mark Ruffalo (Spotlight).
Charlotte Rampling, 69, secured a best actress nomination for 45 Years, as did Irish actress Saoirse Ronan, 21, for Brooklyn. They will compete against former Oscar winners Cate Blanchett, who is nominated for Carol, and Jennifer Lawrence, for Joy, as well as Golden Globe winner Brie Larson, for Room.
Kate Winslet landed a nomination for best supporting actress for her role in Steve Jobs. She will be up against Blanchett’s co-star Rooney Mara for Carol, as well as Redmayne’s co-star, Alicia Vikander.
The 88th Academy Awards will take place in Hollywood on 28 February.
Best actor in a supporting role: Christian Bale (The Big Short); Tom Hardy (The Revenant); Mark Ruffalo (Spotlight); Mark Rylance (Bridge Of Spies); Sylvester Stallone (Creed)
Best actress in a supporting role: Jennifer Jason Leigh (The Hateful Eight); Rooney Mara (Carol); Rachel McAdams (Spotlight); Alicia Vikander (Ex Machina); Kate Winslet (Steve Jobs)
Best actor in a leading role: Bryan Cranston (Trumbo); Matt Damon (The Martian); Michael Fassbender (Steve Jobs); Leonardo DiCaprio (The Revenant); Eddie Redmayne (The Danish Girl)
Best actress in a leading role: Cate Blanchett (Carol); Brie Larson (Room); Charlotte Rampling (45 Years); Saoirse Ronan (Brooklyn); Jennifer Lawrence (Joy)
Best picture: The Big Short; Bridge Of Spies; Brooklyn; Mad Max: Fury Road; The Martian; The Revenant; Room; Spotlight
Best director: Adam McKay (The Big Short); George Miller (Mad Max: Fury Road); Alejandro G Inarritu (The Revenant); Tom McCarthy (Spotlight); Lenny Abrahamson (Room)
Best original score: Bridge Of Spies; Carol; The Hateful Eight; Sicario; Star Wars: The Force Awakens
Best original screenplay: Bridge Of Spies; Ex Machina; Inside Out; Spotlight; Straight Outta Compton
Best adapted screenplay: The Big Short; Brooklyn; Carol; The Martian; Room
Best animated feature: Anomalisa; Boy And The World; Inside Out; Shaun The Sheep Movie; When Marnie Was There
Best documentary feature: Amy; Cartel Land; The Look Of Silence; What Happened, Miss Simone?; Winter On Fire: Ukraine’s Fight for Freedom
Best original song: Earned It (Fifty Shades Of Grey); Manta Ray (Racing Extinction); Simple Song #3 (Youth); Til It Happens To You (The Hunting Ground); Writing’s On The Wall (Spectre)