| Professor John Fleming FBA | Year of birth 1919 | Year of death 1997 | Year elected 1996 | Fellowship category Corresponding |
| Mr John Flemming CBE, FBA | Year of birth 1941 | Year of death 2003 | Year elected 1991 | Fellowship category UK |
| Revd Professor Robert Flint FBA, FRSE | Year of birth 1838 | Year of death 1910 | Year elected 1902 | Fellowship category UK |
| Very Revd Dr George Florovsky FBA | Year of birth 1893 | Year of death 1979 | Year elected 1976 | Fellowship category Corresponding |
| Sir Cyril Flower CB, FBA | Year of birth 1879 | Year of death 1961 | Year elected 1947 | Fellowship category UK |
| Dr Robert Ernest William Flower CBE, FBA | Year of birth 1881 | Year of death 1946 | Year elected 1934 | Fellowship category UK |
| Dr Werner Flume FBA | Year of birth 1908 | Year of death 2009 | Year elected 1977 | Fellowship category Corresponding |
| Professor Janet Dean Fodor FBA | Year of birth 1942 | Year of death 2023 | Year elected 2014 | Fellowship category Corresponding |
| Professor Robert Fogel FBA | Year of birth 1926 | Year of death 2013 | Year elected 1991 | Fellowship category Corresponding |
| Professor Robert Folz FBA | Year of birth 1900 | Year of death 1996 | Year elected 1975 | Fellowship category Corresponding |
| Dr Jacques Fontaine FBA | Year of birth 1866 | Year of death 1952 | Year elected 1991 | Fellowship category Corresponding |
| Professor Philippa Foot FBA | Year of birth 1920 | Year of death 2010 | Year elected 1976 | Fellowship category UK |
| Professor Philip Ford FBA | Year of birth 1949 | Year of death 2013 | Year elected 2009 | Fellowship category UK |
| Professor Cyril Forde FBA | Year of birth 1902 | Year of death 1973 | Year elected 1966 | Fellowship category UK |
| Professor Leonard Forster FBA | Year of birth 1913 | Year of death 1997 | Year elected 1976 | Fellowship category UK |
| Professor Max Förster FBA | Year of birth 1869 | Year of death 1954 | Year elected 1934 | Fellowship category Corresponding |