| Right Revd Professor Richard Patrick Crossland Hanson FBA | Year of birth 1916 | Year of death 1988 | Year elected 1988 | Fellowship category UK |
| Dr Donald Harden CBE, Hon FBA | Year of birth 1901 | Year of death 1994 | Year elected 1987 | Fellowship category Honorary |
| Professor Barbara Hardy FBA | Year of birth 1924 | Year of death 2016 | Year elected 2006 | Fellowship category UK |
| Professor Richard Hare FBA | Year of birth 1919 | Year of death 2002 | Year elected 1964 | Fellowship category UK |
| Dr Florence Harmer FBA | Year of birth 1890 | Year of death 1967 | Year elected 1955 | Fellowship category UK |
| Professor Adolph Harnack FBA | Year of birth 1851 | Year of death 1930 | Year elected 1907 | Fellowship category Corresponding |
| Professor David Harris FBA | Year of birth 1930 | Year of death 2013 | Year elected 2004 | Fellowship category UK |
| Professor James Harris FBA | Year of birth 1940 | Year of death 2004 | Year elected 2001 | Fellowship category UK |
| Dr James Rendel Harris FBA | Year of birth 1852 | Year of death 1941 | Year elected 1927 | Fellowship category UK |
| Professor Jose Harris FBA | Year of birth 1941 | Year of death 2023 | Year elected 1993 | Fellowship category UK Emeritus |
| Professor Zellig Harris FBA | Year of birth 1900 | Year of death 1992 | Year elected 1985 | Fellowship category Corresponding |
| Professor Francis Harrison FBA | Year of birth 1905 | Year of death 1987 | Year elected 1965 | Fellowship category UK |
| Dr Gerald Harriss FBA | Year of birth 1925 | Year of death 2014 | Year elected 1986 | Fellowship category UK Emeritus |
| Sir Roy Harrod FBA | Year of birth 1900 | Year of death 1978 | Year elected 1947 | Fellowship category UK |
| Professor Herbert Hart QC, FBA | Year of birth 1907 | Year of death 1992 | Year elected 1962 | Fellowship category UK |
| Professor Geoffrey Hartman FBA | Year of birth 1929 | Year of death 2016 | Year elected 2000 | Fellowship category Corresponding |