| Professor Jean Fabré FBA | Year of birth 1900 | Year of death 1900 | Year elected 1970 | Fellowship category Corresponding |
| Revd Andrew Martin Fairbairn FBA | Year of birth 1838 | Year of death 1912 | Year elected 1902 | Fellowship category UK |
| Professor Barker Fairley FBA | Year of birth 1887 | Year of death 1986 | Year elected 1972 | Fellowship category Corresponding |
| Professor Alison Fairlie FBA | Year of birth 1917 | Year of death 1993 | Year elected 1984 | Fellowship category UK |
| Dr Lewis Richard Farnell FBA | Year of birth 1856 | Year of death 1934 | Year elected 1916 | Fellowship category UK |
| Professor Allan Farnsworth FBA | Year of birth 1928 | Year of death 2005 | Year elected 1995 | Fellowship category Corresponding |
| Revd Dr Austin Farrer FBA | Year of birth 1904 | Year of death 1968 | Year elected 1968 | Fellowship category UK |
| Professor Robert Feenstra FBA | Year of birth 1920 | Year of death 2013 | Year elected 1985 | Fellowship category Corresponding |
| Professor Charles Feinstein FBA | Year of birth 1932 | Year of death 2004 | Year elected 1983 | Fellowship category UK |
| Professor Dr Karl Gustav Fellerer FBA | Year of birth 1902 | Year of death 1984 | Year elected 1977 | Fellowship category Corresponding |
| Professor Wallace K. Ferguson FBA | Year of birth 1902 | Year of death 1983 | Year elected 1942 | Fellowship category Corresponding |
| Professor Natalio Fernández-Marcos FBA | Year of birth None | Year of death 2024 | Year elected 2015 | Fellowship category Corresponding |
| Revd Andreas Jean Festugière OP, FBA | Year of birth 1898 | Year of death 1982 | Year elected 1952 | Fellowship category Corresponding |
| Professor Heinrich Fichtenau FBA | Year of birth 1912 | Year of death 2000 | Year elected 1988 | Fellowship category Corresponding |
| Professor Guy Cromwell Field FBA | Year of birth 1887 | Year of death 1955 | Year elected 1948 | Fellowship category UK |
| Professor David Fieldhouse FBA | Year of birth 1925 | Year of death 2018 | Year elected 1996 | Fellowship category UK Emeritus |