| Hedley, Robert | Robert Hedley | Director | 1982 | 1 | 1 |
| Höglund, Jakob | Jakob Höglund | Director | 2015 | 43 | 1 |
| Haugen, Clair | Clair Haugen | Director | 1997 | 1 | 1 |
| Hilchenbach, Norbert | Norbert Hilchenbach | Director | 1995 | 1 | |
| Hunt, David | David Hunt | Director | 1996 | 1 | 1 |
| Hove, Ivo van | Ivo van Hove | Director | 2004 - 2018 | 44 | |
| Henderson, Peter | Peter Henderson | Director | 1969 | 1 | 1 |
| Hoffmann, Guy | Guy Hoffmann | Director | 1969 | 2 | |
| Hartmann, Matthias | Matthias Hartmann | Director | 1997 | 1 | 1 |
| Healey, Michael | Michael Healey | Director | 1969 | 1 | 1 |
| Hartleb, Hans | Hans Hartleb | Director | 1968 | 1 | |
| Hegedűs, Ildikó | Ildikó Hegedűs | Director | 2004 | 1 | |
| Horvai, István | István Horvai | Director | 1965 | 1 | 1 |
| Horváth, Árpád | Árpád Horváth | Director | 1930 - 1931 | 2 | 1 |
| Hannah, Jo | Jo Hannah | Director | 1965 | 1 | 1 |
| Hudi, László | László Hudi | Director | 2005 | 2 | |
| Harvey, Jonathan | Jonathan Harvey | Director | 2002 | 1 | |
| Holdridge, Eleanor | Eleanor Holdridge | Director | 2002 - 2012 | 2 | 1 |
| Hoerner, Frank | Frank Hoerner | Director | 2003 | 1 | |
| Hagen, Lene | Lene Hagen | Director | 2015 | 1 | 1 |
| Horres, Bernarda | Bernarda Horres | Director | 2003 - 2006 | 3 | 1 |
| Huonder, Guido | Guido Huonder | Director | 1977 - 2003 | 2 | |
| Hawley, Jane | Jane Hawley | Director | 2003 | 1 | |
| Higginbotham, Rodney | Rodney Higginbotham | Director | 2004 | 1 | |
| Haenel, Benno | Benno Haenel | Director | 2004 | 1 | 1 |
| Hunter, Alexa | Alexa Hunter | Director | 2004 | 1 | |
| Horan, Jaroslav | Jaroslav Horan | Director | 1959 | 1 | |
| Higham, Ian | Ian Higham | Director | 2005 | 1 | |
| Hitchens, Josh | Josh Hitchens | Director | 2013 - 2015 | 2 | |
| Holan, R. K. | R. K. Holan | Director | 1940 | 1 | |
| Hanzalík, Libor | Libor Hanzalík | Director | 2011 | 1 | |
| Hoppe, Uwe | Uwe Hoppe | Director | 2014 | 1 | |
| Hands, Bryan | Bryan Hands | Director | 2006 | 1 | |
| Hickman, Colin | Colin Hickman | Director | 2007 | 1 | |
| Heussenstamm, Sky | Sky Heussenstamm | Director | 2006 | 1 | |
| Hui, Zhang | Zhang Hui | Director | 2006 | 1 | |
| Harris-Rees, John | John Harris-Rees | Director | 2007 | 2 | |
| Huddleston, Charles | Charles Huddleston | Director | 2017 | 1 | |
| Hill, Dominic | Dominic Hill | Director | 2007 - 2009 | 8 | 1 |
| Haesŏng, Hong | Hong Haesŏng | Director | 1934 | 1 | |
| Harnier, Hans | Hans Harnier | Director | 1921 | 1 | |
| Hechtman, Jeremy | Jeremy Hechtman | Director | 2008 | 1 | |
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