| Professor Kenneth Boulding FBA | Year of birth 1900 | Year of death 1993 | Year elected 1982 | Fellowship category Corresponding |
| Professor James Boulton FBA | Year of birth 1924 | Year of death 2013 | Year elected 1994 | Fellowship category UK Emeritus |
| Dr Adnan Bounni FBA | Year of birth 1926 | Year of death 2008 | Year elected 1995 | Fellowship category Corresponding |
| Professor Pierre Bourdieu FBA | Year of birth 1930 | Year of death 2002 | Year elected 2001 | Fellowship category Corresponding |
| Professor Kenneth Bourne FBA | Year of birth 1930 | Year of death 1992 | Year elected 1984 | Fellowship category UK |
| M Émile Boutroux FBA | Year of birth 1845 | Year of death 1921 | Year elected 1907 | Fellowship category Corresponding |
| Professor Fredson Thayer Bowers FBA | Year of birth 1905 | Year of death 1991 | Year elected 1968 | Fellowship category Corresponding |
| Professor Sir Derek Bowett CBE, QC, FBA | Year of birth 1927 | Year of death 2009 | Year elected 1983 | Fellowship category UK |
| Professor Malcolm Bowie FBA | Year of birth 1943 | Year of death 2007 | Year elected 1993 | Fellowship category UK |
| Dr John Bowlby CBE, FBA | Year of birth 1907 | Year of death 1990 | Year elected 1989 | Fellowship category UK |
| Sir Arthur Bowley CBE, FBA | Year of birth 1869 | Year of death 1957 | Year elected 1922 | Fellowship category UK |
| Sir Maurice Bowra CH, FBA | Year of birth 1898 | Year of death 1971 | Year elected 1938 | Fellowship category UK |
| Professor Charles Boxer FBA | Year of birth 1904 | Year of death 2000 | Year elected 1957 | Fellowship category UK |
| Dr Leonard Boyle QCOP, FBA | Year of birth 1900 | Year of death 1999 | Year elected 1988 | Fellowship category Corresponding |
| Professor Dr Karl Bracher FBA | Year of birth 1922 | Year of death 2016 | Year elected 1976 | Fellowship category Corresponding |
| Professor Muriel Bradbrook FBA | Year of birth 1909 | Year of death 1993 | Year elected 1990 | Fellowship category UK |