| Professor Sarah Broadie | Year of birth 1941 | Year of death 2021 | Year elected 2003 | Fellowship category UK |
| Professor William Brock FBA | Year of birth 1916 | Year of death 2014 | Year elected 1990 | Fellowship category UK Emeritus |
| Sir Denis Brogan FBA | Year of birth 1900 | Year of death 1974 | Year elected 1955 | Fellowship category UK |
| Professor Bertrand Harris Bronson FBA | Year of birth 1902 | Year of death 1986 | Year elected 1964 | Fellowship category Corresponding |
| Professor Johannes Brønsted FBA | Year of birth 1890 | Year of death 1965 | Year elected 1952 | Fellowship category Corresponding |
| Revd Dr Alan England Brooke FBA | Year of birth 1863 | Year of death 1939 | Year elected 1934 | Fellowship category UK |
| Professor Christopher Brooke CBE, FBA | Year of birth 1927 | Year of death 2015 | Year elected 1970 | Fellowship category UK |
| Professor Zachary Nugent Brooke FBA | Year of birth 1883 | Year of death 1946 | Year elected 1940 | Fellowship category UK |
| Professor Harold Brookfield FBA | Year of birth 1926 | Year of death 2022 | Year elected 2009 | Fellowship category Corresponding |
| Mr Ernest Walker Brooks FBA | Year of birth 1863 | Year of death 1955 | Year elected 1938 | Fellowship category UK |
| Professor Nicholas Brooks FBA | Year of birth 1941 | Year of death 2014 | Year elected 1989 | Fellowship category UK |
| Professor John Brough FBA | Year of birth 1917 | Year of death 1984 | Year elected 1961 | Fellowship category UK |
| Professor Thomas Broughton FBA | Year of birth 1900 | Year of death 1993 | Year elected 1968 | Fellowship category Corresponding |
| Professor Arthur Brown CBE, FBA | Year of birth 1914 | Year of death 2003 | Year elected 1972 | Fellowship category UK |
| Professor Gerald Baldwin Brown FBA | Year of birth 1849 | Year of death 1932 | Year elected 1924 | Fellowship category UK |
| Sir Henry Phelps Brown MBE, FBA | Year of birth 1906 | Year of death 1994 | Year elected 1960 | Fellowship category UK |