| Fuchs, Stanislaus | Stanislaus Fuchs | Director | 1916 - 1921 | 2 | |
| Felsenstein, Walter | Walter Felsenstein | Director | 1940 - 1950 | 9 | 1 |
| Firner, Walter | Walter Firner | Director | 1946 - 1947 | 4 | |
| Fagan, James Bernard | James Bernard Fagan | Director | 1917 | 1 | |
| Filmer, A. E. | A. E. Filmer | Director | 1921 | 1 | |
| Fish, Helen | Helen R. Fish (Helen Fish) | Director | 1923 - 1934 | 4 | |
| Fagan, F. B. | F. B. Fagan | Director | 1924 | 2 | |
| Fuller Jr., R.C. | R. C. Fuller Jr. | Director | 1926 | 1 | |
| Ferrers, Helen | Helen Ferrers | Director | 1927 | 2 | |
| Flannery, Peter | Peter Flannery | Director | 1974 | 1 | |
| Fischerauer, Bernd | Bernd Fischerauer | Director | 1977 | 1 | |
| Fischer, Alfred | Alfred Fischer | Director | 1928 | 1 | |
| Feldmanis, Ernests | Ernests Feldmanis | Director | 1929 | 1 | |
| Fuentes, Paco | Paco Fuentes | Director | 1929 | 1 | |
| Freihart, Alex | Alex Freihart | Director | 1965 - 1996 | 21 | |
| Fenoglio, Edmondo | Edmondo Fenoglio | Director | 1974 - 1977 | 6 | |
| Frisch, Peter | Peter Frisch | Director | 1975 | 1 | |
| Fasoulis, Stamatis | Stamatis Fasoulis | Director | 1979 - 2013 | 2 | |
| Fiedler, Gerlach | Gerlach Fiedler | Director | 1983 | 1 | |
| Fieber, Günter, P. | Günter P. Fieber | Director | 1972 | 1 | |
| Fazlovski, Fredi | Fredi Fazlovski | Director | 1956 | 1 | |
| Frost, Michelle | Michelle Frost | Director | 1997 | 1 | |
| Fulga Lazăr, Dumitru | Dumitru Lazăr Fulga | Director | 2009 - 2015 | 3 | |
| Forchammer, Bjarne | Bjarne Forchammer | Director | 1953 | 1 | |
| Františák, Martin | Martin Františák | Director | 2013 - 2017 | 5 | 1 |
| Fletcher, Andrew | Andrew Fletcher | Director | 2014 | 1 | |
| Flimm, Jürgen | Jürgen Flimm | Director | 1985 - 1994 | 3 | |
| Fornés, Maria Irene | Maria Irene Fornés | Director | 1987 | 1 | 1 |
| Freibergs, Edmunds | Edmunds Freibergs | Director | 1988 | 1 | |
| Françon, Alain | Alain Françon | Director | 1991 - 2013 | 11 | 1 |
| Fodor, Tamás | Tamás Fodor | Director | 1991 - 2017 | 2 | |
| Fritdum, Isabella | Isabella Fritdum | Director | 1991 | 2 | |
| Fuschl, Helmut | Helmut Fuschl | Director | 1993 - 2003 | 10 | |
| Ferrara, Antonio | Antonio Ferrara | Director | 2014 | 1 | |
| Field, Peter | Peter Field | Director | 1983 - 2002 | 3 | |
| Fiedor, Marek | Marek Fiedor | Director | 1996 | 1 | |
| Fordyce, Ehren | Ehren Fordyce | Director | 1997 | 1 | 1 |
| Fischer, Julia | Julia Fischer | Director | 1998 | 1 | |
| France, Joseph | Joseph France | Director | 1968 | 1 | 1 |
| Florian, Paul | Paul Florian | Director | 1967 | 1 | |
| Frohn Nielsen, Erik | Erik Frohn Nielsen | Director | 1966 | 1 | |
| Fenichell, Susan | Susan Fenichell | Director | 2002 | 1 | |
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