| Professor Charles Kindleberger FBA | Year of birth 1910 | Year of death 2003 | Year elected 1992 | Fellowship category Corresponding |
| Professor Anthony King FBA | Year of birth 1934 | Year of death 2017 | Year elected 2010 | Fellowship category UK |
| Mr Charles Lethbridge Kingsford FBA | Year of birth 1862 | Year of death 1926 | Year elected 1924 | Fellowship category UK |
| Professor Mark Kinkead-Weekes FBA | Year of birth 1931 | Year of death 2011 | Year elected 1992 | Fellowship category UK Emeritus |
| Revd Professor James Kinsley FBA | Year of birth 1922 | Year of death 1984 | Year elected 1971 | Fellowship category UK |
| Professor Geoffrey Kirk FBA | Year of birth 1921 | Year of death 2003 | Year elected 1959 | Fellowship category UK |
| Professor Humphrey Kitto FBA | Year of birth 1897 | Year of death 1982 | Year elected 1955 | Fellowship category UK |
| Professor George Lyman Kittredge FBA | Year of birth 1860 | Year of death 1941 | Year elected 1910 | Fellowship category Corresponding |
| Professor Ernst Kitzinger FBA | Year of birth 1900 | Year of death 2003 | Year elected 1969 | Fellowship category Corresponding |
| Professor Dr Günther Klaffenbach FBA | Year of birth 1890 | Year of death 1972 | Year elected 1961 | Fellowship category Corresponding |
| Professor Lawrence Klein FBA | Year of birth 1920 | Year of death 2013 | Year elected 1991 | Fellowship category Corresponding |
| Professor William Kneale FBA | Year of birth 1906 | Year of death 1990 | Year elected 1950 | 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 |