| Professor Michael Knibb FBA | Year of birth 1938 | Year of death 2021 | Year elected 1989 | Fellowship category UK |
| Revd Professor David Knowles OSB, FBA | Year of birth 1896 | Year of death 1974 | Year elected 1947 | Fellowship category UK |
| Professor Bernard Knox FBA | Year of birth 1914 | Year of death 2010 | Year elected 1978 | Fellowship category Corresponding |
| Revd Dr Wilfred Lawrence Knox FBA | Year of birth 1886 | Year of death 1950 | Year elected 1948 | Fellowship category UK |
| Professor Wilhelm Koehler FBA | Year of birth 1884 | Year of death 1959 | Year elected 1946 | Fellowship category Corresponding |
| Professor Dr Ludwig Koenen FBA | Year of birth None | Year of death 2023 | Year elected 1998 | Fellowship category Corresponding |
| Professor Helmut Koenigsberger FBA | Year of birth 1918 | Year of death 2014 | Year elected 1989 | Fellowship category UK Emeritus |
| Professor Halvdan Koht FBA | Year of birth 1873 | Year of death 1965 | Year elected 1931 | Fellowship category Corresponding |
| Dr Leszek Kolakowski FBA | Year of birth 1927 | Year of death 2009 | Year elected 1980 | Fellowship category UK |
| Professor Janos Kornai FBA | Year of birth None | Year of death 2021 | Year elected 1978 | Fellowship category Corresponding |
| Professor Stephan Körner FBA | Year of birth 1913 | Year of death 2000 | Year elected 1967 | Fellowship category UK |
| Professor Domoskos Kosary FBA | Year of birth 1913 | Year of death 2007 | Year elected 1991 | Fellowship category Corresponding |
| Professor Reinhart Koselleck FBA | Year of birth 1923 | Year of death 2006 | Year elected 1996 | Fellowship category Corresponding |
| Professor Georg Kossack FBA | Year of birth 1923 | Year of death 2005 | Year elected 1986 | Fellowship category Corresponding |
| Professor Tadeusz Kotarbinski FBA | Year of birth 1886 | Year of death 1981 | Year elected 1965 | Fellowship category Corresponding |
| Dr Colin Kraay FBA | Year of birth 1918 | Year of death 1982 | Year elected 1978 | Fellowship category UK |