| Professor Sheppard Frere CBE, FBA | Year of birth 1916 | Year of death 2015 | Year elected 1971 | Fellowship category UK Emeritus |
| Professor Paul Freund FBA | Year of birth 1908 | Year of death 1994 | Year elected 1982 | Fellowship category Corresponding |
| Dr Otto-Herman Frey FBA | Year of birth 1929 | Year of death 2023 | Year elected 1990 | Fellowship category Corresponding |
| Professor Ragnar Frisch FBA | Year of birth 1895 | Year of death 1973 | Year elected 1966 | Fellowship category Corresponding |
| Rt Hon Sir Edward Fry GCB, PC, FRS, FBA | Year of birth 1827 | Year of death 1918 | Year elected 1903 | Fellowship category UK |
| Professor Edmund Fryde FBA | Year of birth 1923 | Year of death 1999 | Year elected 1988 | Fellowship category UK |
| Professor Herbert Northrop Frye FBA | Year of birth 1912 | Year of death 1991 | Year elected 1975 | Fellowship category Corresponding |
| Professor Erik Frykman FBA | Year of birth 1919 | Year of death 2010 | Year elected 1992 | Fellowship category Corresponding |
| Dr Horst Fuhrmann FBA | Year of birth 1926 | Year of death 2012 | Year elected 1983 | Fellowship category Corresponding |
| Professor Marc Fumaroli FBA | Year of birth 1932 | Year of death 2020 | Year elected 1989 | Fellowship category Corresponding |
| Professor David Furley FBA | Year of birth 1922 | Year of death 2010 | Year elected 1990 | Fellowship category Corresponding |
| Dr Frederick James Furnivall FBA | Year of birth 1825 | Year of death 1910 | Year elected 1903 | Fellowship category UK |