| Hadden Irving Clark | 1986 - 1992 | USA | 2+ |
| Hadj Mohammed Mesfewi | 1900 - 1906 | Morocco | 36+ |
| Hamed Mohammad Shafia | 2009 | Afghanistan | 4 |
| Hamida Djandoubi | 1973 - 1974 | Tunisia | 1 |
| Hank Earl Carr | 1998 | USA | 4 |
| Hannah Ocuish | 1786 | USA | 1 |
| Hans Van Themsche | 2006 | Belgium | 2 |
| Hans Vollenweider | 1936 | Switzerland | 3 |
| Harnoko Dewantoro | 1991 - 1992 | USA | 3 |
| Harold David Haulman III | 1999 - 2020 | USA | 4 |
| Harold Jones | 1921 | USA | 2 |
| Harold Lamont Otey | 1977 | USA | 1 |
| Harold Shipman | 1975 - 1998 | England | 215+ |
| Harrison Graham | 1986 - 1987 | USA | 7 |
| Harry Aleman | 1962 - 1976 | USA | 13 |
| Harry D. Mitts Jr. | 1994 | USA | 2 |
| Harry Edward Greenwell | 1987 - 1991 | USA | 3+ |
| Harry Powers | 1931 | USA | 5+ |
| Harry T. Hayward | 1880 - 1894 | USA | 1-4 |
| Harvey A. Marcelin | 1963 - 2022 | USA | 2 |
| Harvey Carignan | 1949 - 1974 | USA | 5+ |
| Harvey Collins | 1953 - 1955 | USA | 3 |
| Harvey Miguel Robinson | 1992 - 1993 | USA | 3 |
| Harvey Murray Glatman | 1957 - 1958 | USA | 3+ |
| Hasan Karim Akbar | 2003 | USA | 2 |
| Hassan Orangi | 1945 - 1951 | Iran | 62 |
| Hastings Arthur Wise | 1997 | USA | 4 |
| Hattie Livermore Whitten | 1900 - 1902 | USA | 3 |
| Hawley Harvey Crippen | 1910 | United Kingdom | 1 |
| Heather Irene Pressdee | 2022 - 2023 | USA | 3 |
| Heather Leavell-Keaton | 2010 | USA | 2 |
| Heather Nicole Matthews | 1992 | USA | 6 |
| Heather Trinee Lee | 2010 | USA | 1 |
| Héctor Luis Palma Salazar | 1970 - 1995 | Mexico | 1+ |
| Héctor Orlando Bastidas | 2011 - 2015 | Colombia | 100+ |
| Heinrich Pommerenke | 1959 | West Germany | 4+ |
| Hélène Jégado | 1833 - 1851 | France | 23+ |
| Helge Arnold Fossmo | 1999 - 2004 | Sweden | 2 |
| Hendrikje Geerts Meilofs Doelen | 1845 - 1846 | Netherlands | 3 |
| Henri Désiré Landru | 1915 - 1919 | France | 11+ |
| Henriette Caillaux | 1914 | France | 1 |
| Henry Busch | 1960 | USA | 3 |
| Henry Eugene Hodges | 1988 - 1990 | USA | 3+ |
| Henry Francis Hays | 1981 | USA | 1 |
| Henry John Burnett | 1963 | United Kingdom | 1 |
| Henry Lee Jones | 2003 | USA | 3 |
| Henry Lee Lucas | 1960 - 1983 | USA | 3+ |
| Henry Louis Wallace | 1990 - 1994 | USA | 11 |
| Henry Newton Brown | 1878 - 1884 | USA | 6 |
| Henry Reed Rathbone | 1883 | USA | 1 |
| Herbert James Coddington | 1981 - 1987 | USA | 2 |
| Herbert Richard Baumeister | 1980 - 1996 | USA | 11+ |
| Herbert Rowse Armstrong | 1921 | United Kingdom | 1 |
| Herbert William Mullin | 1972 - 1973 | USA | 13 |
| Heriberto "Eddie" Seda | 1990 - 1993 | USA | 9 |
| Herisch Ali Abdullah | 2005 | Iraq | 1 |
| Herman Dale Ashworth | 1996 | USA | 1 |
| Herman Petrillo | 1931 - 1938 | Italy | 17+ |
| Herman Webster Mudgett | 1891 - 1894 | USA | 1+ |
| Hesham Mohamed Hadayet | 2002 | USA | 2 |
| Hester Rebecca Nepping | 1811 | Netherlands | 3 |
| Hezekiah Rabala Ochuka | 1982 | Kenya | 19 |
| Hilda Nilsson | 1915 | Sweden | 8 |
| Hippolyte Visart de Bocarmé | 1850 | Belgium | 1 |
| Hiroaki Hidaka | 1996 | Japan | 4 |
| Hiroko Nagata | 1972 | Japan | 14 |
| Hiroshi Maeue | 2005 | Japan | 3 |
| Homer Lee Jackson III | 1983 - 1993 | USA | 4+ |
| Hope Rippey | 1992 | USA | 1 |
| Hoshang Amini | 1954 - 1962 | Iran | 67 |
| Howard Allen | 1974 - 1987 | USA | 3 |
| Howard Hughes | 1995 | United Kingdom | 1 |
| Howard Martin | 1957 - 2010 | United Kingdom | 18 |
| Howard Paul Guidry | 1994 | USA | 1 |
| Howell Emanuel Donaldson III | 2017 | USA | 4 |
| Hoyt Franklin Clines | 1981 | USA | 1 |
| Hsu Tung-chih | 1976 - 1983 | Taiwan | 7+ |
| Hu Daoping | 2003 - 2005 | China | 7 |
| Hua Ruizhuo | 1998 - 2001 | China | 14 |
| Huang Guozhen | 1989 | China | 16+ |
| Huang Yichuan | 2018 | China | 2 |
| Huang Yong | 2001 - 2003 | China | 17 |
| Hubert Geralds Jr. | 1994 - 1995 | USA | 5 |
| Hubert Pilčík | 1948 - 1951 | Czechoslovakia | 5 |
| Hugh Bion Morse | 1951 - 1961 | USA | 4+ |
| Hugh Leonard Thompson Murphy | 1972 - 1982 | United Kingdom | 11+ |
| Hugo Ernesto Osorio Chávez | 2021 | El Salvador | 14 |
| Hugo Ignatz Rudolf Schenk | 1883 | Austria | 6+ |
| Humberto Leal Garcia Jr. | 1994 | Mexico | 1 |
