| Heiman, Tom | Tom Heiman | Director | 2019 | 1 | |
| Hanjir, Kamal | Kamal Hanjira | Director | 1986 | 2 | |
| Hama Saed, Shwan | Shwan Hama Saed | Director | 2016 | 1 | |
| Holtz, Stephan | Stephan Holtz | Director | 2019 | 2 | |
| Henley, F.L. Jr. | F.L. Jr. Henley | Director | 2020 | 1 | |
| Hawkins, Rob | Rob Hawkins | Director | 2014 | 1 | |
| Heine, Charles | Charles Heine | Director | 1900 | 1 | |
| Heshmati, Saeid | Saeid Heshmati | Director | 2017 | 1 | |
| Hillel, Alain | Alain Hillel | Director | 1982 | 1 | |
| Head, Julia | Julia Head | Director | 2021 | 1 | |
| Hill, Cheryl Frazes | Cheryl Frazes Hill | Director | 2022 | 1 | |
| Handji, Halle | Halle Handji | Director | 2016 | 1 | |
| Hertog, Finn den | Finn den Hertog | Director | 2021 | 5 | |
| Hampton, Anna | Anna Hampton | Director | 2021 | 1 | |
| Hartney, Kathryn | Kathryn Hartney | Director | 2021 | 1 | |
| Haspra, Pavol | Pavol Haspra | Director | 1972 | 1 | |
| Hetrich, Ivan | Ivan Hetrich | Director | 1968 | 1 | |
| Hytner, Nicholas | Nicholas Hytner | Director | 2022 | 1 | |
| Hogan, Anna | Anna Hogan | Director | 2022 | 1 | |
| Hunter, Max | Max Hunter | Director | 2017 | 1 | |
| Helwig, Rachel | Rachel Helwig | Director | 2023 | 1 | |
| Higgins, Angie | Angie Higgins | Director | 2024 | 1 | |
| Huddleston, Yvette | Yvette Huddleston | Director | 2024 | 1 | |
| Howard, Asabi Stephanie | Asabi Stephanie Howard | Director | 2024 | 1 | |
| Hernández, Agnieska | Agnieska Hernández | Director | 2024 | 1 | |
| Ho, Marwyn | Marwyn Ho | Director | 2025 | 1 | |
| Hoffmann, Leda | Leda Hoffmann | Director | 2025 | 1 | |
| Hochgruber, Konrad | Konrad Hochgruber | Director | 2024 | 2 | |
| Hartley, Frank | Frank Hartley | Director | 2025 | 1 | |
| Halpern, Pablo | Pablo Halpern | Director | 2025 | 1 | |
| Harding-Cooper, Jonny | Jonny Harding-Cooper | Director | 2025 | 1 | |
| Henderson, Stephanie | Stephanie Henderson | Director | 2025 | 1 | |
| Huldt, Johan | Johan Huldt | Director, Dramaturg | 1989 - 2022 | 74 | 1 |
| Husfeld, Dieter | Dieter Husfeld | Director, Dramaturg | 1965 - 1970 | 2 | |
| Haas, Otto | Otto Haas | Director, Dramaturg | 1973 | 2 | |
| Hankó, János | János Hankó | Director, Dramaturg | 2001 | 2 | 1 |
| Hands, Terry | Terry Hands | Director, Lighting Designer | 1996 | 2 | 1 |
| Hamzagić, Nermin | Nermin Hamzagić | Director, Lighting Designer | 2009 - 2022 | 5 | |
| Harris, Jed | Jed Harris | Director, Producer | 1937 - 1938 | 16 | 1 |
| Hopkins, Arthur | Arthur Hopkins | Director, Producer | 1918 | 3 | |
| Hijikata, Yoshi | Yoshi Hijikata | Director, Producer | 1922 - 1955 | 8 | |
| Hunt, Hugh | Hugh Hunt | Director, Producer | 1935 - 1975 | 2 | |
|
|
