| Professor Courtney Stanhope Kenny FBA | Year of birth 1847 | Year of death 1930 | Year elected 1909 | Fellowship category UK |
| Dr John Kent FBA | Year of birth 1928 | Year of death 2000 | Year elected 1986 | Fellowship category UK |
| Sir Frederic Kenyon GBE, KCB, FBA | Year of birth 1863 | Year of death 1952 | Year elected 1903 | Fellowship category UK |
| Professor John Kenyon FBA | Year of birth 1927 | Year of death 1996 | Year elected 1981 | Fellowship category UK |
| Dame Kathleen Kenyon DBE, FBA | Year of birth 1906 | Year of death 1978 | Year elected 1955 | Fellowship category UK |
| Mr Neil Ker CBE, FBA | Year of birth 1908 | Year of death 1982 | Year elected 1958 | Fellowship category UK |
| Professor William Paton Ker FBA | Year of birth 1855 | Year of death 1923 | Year elected 1903 | Fellowship category UK |
| Professor Joseph Kerman FBA | Year of birth 1924 | Year of death 2014 | Year elected 1984 | Fellowship category Corresponding |
| Professor Sir Frank Kermode FBA | Year of birth 1919 | Year of death 2010 | Year elected 1973 | Fellowship category UK Emeritus |
| Mr Wyndham Ketton-Cremer FBA | Year of birth 1906 | Year of death 1969 | Year elected 1968 | Fellowship category UK |
| Professor Dr Rudolph Keydell FBA | Year of birth 1887 | Year of death 1982 | Year elected 1973 | Fellowship category Corresponding |
| Sir Geoffrey Keynes Hon FBA | Year of birth 1887 | Year of death 1982 | Year elected 1980 | Fellowship category Honorary |
| Rt Hon Lord John Maynard Keynes CB, FBA | Year of birth 1883 | Year of death 1946 | Year elected 1929 | Fellowship category UK |
| Professor Aleksandr Kibrik FBA | Year of birth 1939 | Year of death 2012 | Year elected 2006 | Fellowship category Corresponding |
| Professor Ian Kidd FBA | Year of birth 1922 | Year of death 2011 | Year elected 1993 | Fellowship category UK Emeritus |
| Professor Dr Walther Kienast FBA | Year of birth 1896 | Year of death 1985 | Year elected 1976 | Fellowship category Corresponding |