| Sir John Habakkuk FBA | Year of birth 1915 | Year of death 2002 | Year elected 1965 | Fellowship category UK |
| Professor Dr Christian Habicht FBA | Year of birth 1926 | Year of death 2018 | Year elected 1996 | Fellowship category Corresponding |
| Professor Reginald Hackforth FBA | Year of birth 1887 | Year of death 1957 | Year elected 1946 | Fellowship category UK |
| Professor Ian Hacking FBA | Year of birth 1939 | Year of death 2023 | Year elected 1988 | Fellowship category Corresponding |
| President Arthur T Hadley FBA | Year of birth 1856 | Year of death 1930 | Year elected 1917 | Fellowship category Corresponding |
| Professor Torsten Hagerstrand FBA | Year of birth 1916 | Year of death 2004 | Year elected 1985 | Fellowship category Corresponding |
| Professor Frank Hahn FBA | Year of birth 1925 | Year of death 2013 | Year elected 1975 | Fellowship category UK Emeritus |
| Professor Gordon Sherman Haight FBA | Year of birth 1901 | Year of death 1985 | Year elected 1969 | Fellowship category Corresponding |
| Professor Getatchew Haile | Year of birth 1931 | Year of death 2021 | Year elected 1987 | Fellowship category Corresponding |
| Professor John Hajnal FBA | Year of birth 1924 | Year of death 2008 | Year elected 1966 | Fellowship category UK |
| Right Hon Viscount Richard Haldane KT, OM, PC, FBA, FRS | Year of birth 1856 | Year of death 1928 | Year elected 1914 | Fellowship category UK |
| Sir John Hale FBA | Year of birth 1923 | Year of death 1999 | Year elected 1977 | Fellowship category UK |
| Professor Kenneth Haley FBA | Year of birth 1920 | Year of death 1997 | Year elected 1987 | Fellowship category UK |
| Professor Edward Hall CBE, Hon FBA | Year of birth 1924 | Year of death 2001 | Year elected 1984 | Fellowship category Honorary |
| Mr George Hall FBA | Year of birth 1924 | Year of death 1975 | Year elected 1975 | Fellowship category UK |
| Dr Harry Reginald Holland Hall FBA | Year of birth 1873 | Year of death 1930 | Year elected 1926 | Fellowship category UK |