| Professor Oliver Braddick FBA | Year of birth 1944 | Year of death 2022 | Year elected 2012 | Fellowship category UK |
| Dr Andrew Cecil Bradley FBA | Year of birth 1851 | Year of death 1935 | Year elected 1910 | Fellowship category UK |
| Dr Francis Herbert Bradley OM, Hon FBA | Year of birth 1846 | Year of death 1924 | Year elected 1923 | Fellowship category Honorary |
| Dr Henry Bradley FBA | Year of birth 1845 | Year of death 1923 | Year elected 1907 | Fellowship category UK |
| Professor R.B. Braithwaite FBA | Year of birth 1900 | Year of death 1990 | Year elected 1957 | Fellowship category UK |
| Professor Vittore Branca FBA | Year of birth 1913 | Year of death 2004 | Year elected 1992 | Fellowship category Corresponding |
| Professor Peter Brand FBA | Year of birth 1923 | Year of death 2016 | Year elected 1990 | Fellowship category UK Emeritus |
| Professor William Brass CBE, FBA | Year of birth 1921 | Year of death 1999 | Year elected 1979 | Fellowship category UK |
| Professor Fernand Braudel FBA | Year of birth 1902 | Year of death 1985 | Year elected 1962 | Fellowship category Corresponding |
| Dr James H Breasted FBA | Year of birth 1865 | Year of death 1935 | Year elected 1934 | Fellowship category Corresponding |
| M Émile Bréhier FBA | Year of birth 1876 | Year of death 1952 | Year elected 1951 | Fellowship category Corresponding |
| Lord Asa Briggs of Lewes FBA | Year of birth 1921 | Year of death 2016 | Year elected 1980 | Fellowship category UK Emeritus |
| Revd Frank Edward Brightman FBA | Year of birth 1856 | Year of death 1932 | Year elected 1926 | Fellowship category UK |
| Professor Charles Brink FBA | Year of birth 1907 | Year of death 1994 | Year elected 1964 | Fellowship category UK |
| Professor Richard Britnell FBA | Year of birth 1944 | Year of death 2013 | Year elected 2005 | Fellowship category UK |
| Professor Charlie Broad FBA | Year of birth 1887 | Year of death 1971 | Year elected 1926 | Fellowship category UK |