H
| Year | Nominee | Film |
|---|---|---|
| 1967 | Gene Hackman | Bonnie and Clyde |
| 1970 | Gene Hackman (2) | I Never Sang for My Father |
| 1992 | Gene Hackman (3) | Unforgiven |
| 2006 | Jackie Earle Haley | Little Children |
| 2009 | Woody Harrelson | The Messenger |
| 1995 | Ed Harris | Apollo 13 |
| 1998 | Ed Harris (2) | The Truman Show |
| 2002 | Ed Harris (3) | The Hours |
| 2001 | Ethan Hawke | Training Day |
| 2010 | John Hawkes | Winter's Bone |
| 1957 | Sessue Hayakawa | The Bridge on the River Kwai |
| 1942 | Van Heflin | Johnny Eager |
| 1979 | Justin Henry | Kramer vs. Kramer |
| 1985 | William Hickey | Prizzi's Honor |
| 1980 | Judd Hirsch | Ordinary People |
| 2007 | Philip Seymour Hoffman | Charlie Wilson's War |
| 2008 | Philip Seymour Hoffman (2) | Doubt |
| 2007 | Hal Holbrook | Into the Wild |
| 1964 | Stanley Holloway | My Fair Lady |
| 1981 | Ian Holm | Chariots of Fire |
| 1948 | Oscar Homolka | I Remember Mama |
| 1997 | Anthony Hopkins | Amistad |
| 1986 | Dennis Hopper | Hoosiers |
| 2003 | Djimon Hounsou | In America |
| 2006 | Djimon Hounsou (2) | Blood Diamond |
| 1973 | John Houseman | The Paper Chase |
| 1952 | Arthur Hunnicutt | The Big Sky |
| 1978 | John Hurt | Midnight Express |
| 2005 | William Hurt | A History of Violence |
| 1963 | John Huston | The Cardinal |
| 1942 | Walter Huston | Yankee Doodle Dandy |
| 1948 | Walter Huston (2) | The Treasure of the Sierra Madre |
| 1980 | Timothy Hutton | Ordinary People |
Read more about this topic: List Of Nominees For The Academy Award For Best Supporting Actor (by Actor)