| 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 |
| 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 |