| M Alfred Foucher FBA | Year of birth 1865 | Year of death 1952 | Year elected 1939 | Fellowship category Corresponding |
| Professor Alastair Fowler FBA CBE | Year of birth None | Year of death 2022 | Year elected 1974 | Fellowship category UK Emeritus |
| Sir Cyril Fox FBA, MRIA | Year of birth 1882 | Year of death 1967 | Year elected 1940 | Fellowship category UK |
| Mr David Foxon FBA | Year of birth 1923 | Year of death 2001 | Year elected 1978 | Fellowship category UK |
| Professor Herbert Somerton Foxwell FBA | Year of birth 1849 | Year of death 1936 | Year elected 1905 | Fellowship category UK |
| Professor Eduard Fraenkel FBA | Year of birth 1888 | Year of death 1970 | Year elected 1941 | Fellowship category UK |
| Professor Tenney Frank FBA | Year of birth 1876 | Year of death 1939 | Year elected 1934 | Fellowship category Corresponding |
| Professor Dr Herbert Franke FBA | Year of birth 1914 | Year of death 2011 | Year elected 1994 | Fellowship category Corresponding |
| Professor Hermann Ferdinand Fränkel FBA | Year of birth 1888 | Year of death 1977 | Year elected 1970 | Fellowship category Corresponding |
| Professor Henri Frankfort FBA | Year of birth 1897 | Year of death 1954 | Year elected 1954 | Fellowship category UK |
| Rt Hon Lord Oliver Franks OM, GCMG, KCB, KCVO, CBE, FBA | Year of birth 1905 | Year of death 1992 | Year elected 1960 | Fellowship category UK |
| Professor Alexander Campbell Fraser FBA, FRSE | Year of birth 1819 | Year of death 1914 | Year elected 1903 | Fellowship category UK |
| Mr Peter Fraser FBA | Year of birth 1918 | Year of death 2007 | Year elected 1960 | Fellowship category UK |
| Sir James Frazer OM, FBA, FRS | Year of birth 1854 | Year of death 1941 | Year elected 1902 | Fellowship category UK |
| Professor Michael Frede FBA | Year of birth 1940 | Year of death 2007 | Year elected 1994 | Fellowship category UK |
| Revd Professor William Frend FBA | Year of birth 1916 | Year of death 2005 | Year elected 1983 | Fellowship category UK |