| Year | Result | Award | Category |
| 1982 | Nominated | Oscar | Best Actor For:Atlantic City (1980) |
| 1963 | Nominted | Oscar | Best Actor For:Birdman of Alcatraz (1962) |
| 1961 | Won | Oscar | Best Actor For:Elmer Gantry (1960) |
| 1954 | Nominated | Oscar | Best Actor For:From Here to Eternity (1953) |
| Year | Result | Award | Category |
| 1984 | Nominated | BAFTA Film Award |
Best Supporting Actor For:Local Hero (1983) |
| 1982 | Won | BAFTA Film Award |
Best Actor For:Atlantic City (1980) |
| 1963 | Won | BAFTA Film Award |
Best Foreign Actor For:Birdman of Alcatraz (1962)-USA |
| 1961 | Nominated | BAFTA Film Award |
Best Foreign Actor For:Elmer Gantry (1960) |
| Year | Result | Award | Category |
| 1991 | Nominated | Golden Globe | Best Performance by an Actor in a
Mini-Series or Motion Picture Made for TV For:Phantom of the Opera, The (1990) |
| 1982 | Nominated | Golden Globe | Best Motion Picture Actor-Drama For:Atlantic City (1980) |
| 1961 | Won | Golden Globe | Best Motion Picture Actor-Drama For:Elmer Gantry (1960) |
| Year | Result | Award | Category |
| 1981 | Won | LAFCA Award | Best Actor For:Atlantic City (1980) |
| Year | Result | Award | Category |
| 1981 | Won | NYFCC Award | Best Actor For:Atlantic City (1980) |
| 1981 | Won | NYFCC Award | Best Actor For:Elmer Gantry (1960) |
| 1953 | Won | NYFCC Award | Best Actor For:From Here to Eternity (1953) |
| Year | Result | Award | Category |
| 1992 | --- | Life Achievement Award |
--- |
| Year | Result | Award | Category |
| 1962 | Won | Volpi Cup | Best Actor For:Birdman of Alcatraz (1962) |