| Mr Samuel Noah Kramer FBA | Year of birth 1897 | Year of death 1990 | Year elected 1971 | Fellowship category Corresponding |
| Professor Dr Werner Krämer FBA | Year of birth 1917 | Year of death 2007 | Year elected 1970 | Fellowship category Corresponding |
| Professor Fritz Rudolph Kraus FBA | Year of birth 1910 | Year of death 1991 | Year elected 1988 | Fellowship category Corresponding |
| Professor Richard Krautheimer FBA | Year of birth 1897 | Year of death 1994 | Year elected 1964 | Fellowship category Corresponding |
| Professor Saul Kripke FBA | Year of birth None | Year of death 2020 | Year elected 1985 | Fellowship category Corresponding |
| Professor Paul Kristeller FBA | Year of birth 1905 | Year of death 2000 | Year elected 1973 | Fellowship category Corresponding |
| Professor Wilhelm Kroll FBA | Year of birth 1869 | Year of death 1939 | Year elected 1937 | Fellowship category Corresponding |
| Professor Karl Krumbacher FBA | Year of birth 1856 | Year of death 1909 | Year elected 1904 | Fellowship category Corresponding |
| Professor Karl Kuhn FBA | Year of birth 1919 | Year of death 2013 | Year elected 1987 | Fellowship category UK Emeritus |
| Professor Thomas Kuhn FBA | Year of birth 1922 | Year of death 1996 | Year elected 1990 | Fellowship category Corresponding |
| Professor Amelie Kuhrt FBA | Year of birth None | Year of death 2023 | Year elected 2001 | Fellowship category UK |
| Professor Dr Werner Kümmel FBA | Year of birth 1900 | Year of death 1996 | Year elected 1972 | Fellowship category Corresponding |
| Professor Wolfgang Kunkel FBA | Year of birth 1902 | Year of death 1981 | Year elected 1971 | Fellowship category Corresponding |
| Professor Dr Emil Kunze FBA | Year of birth 1900 | Year of death 1995 | Year elected 1971 | Fellowship category Corresponding |
| Professor Jerzy Kurylowicz FBA | Year of birth 1895 | Year of death 1978 | Year elected 1974 | Fellowship category Corresponding |
| Professor Otto Kurz FBA | Year of birth 1908 | Year of death 1975 | Year elected 1962 | Fellowship category UK |