| Hafdahl, Randall Sr. | 1-31-2002 | Lethal Injection | Randall | Huntsville, TX | 826 | Policeman | |
| Haley, Thomas | 7-10-1952 | Electrocuted | Tarrant | Huntsville, TX | 361 | Rape | |
| Hall, Wilburn | 8-21-1957 | Electrocuted | Harris | Huntsville, TX | 401 | Murder | |
| Hamilton, Raymond | 5-10-1935 | Electrocuted | Walker | Huntsville, TX | 147 | Murder | Elmwood Memorial Park |
| Hammond, Karl | 6-21-1995 | Lethal Injection | Bexar | Huntsville, TX | 865 | Rape | |
| Hampton, Bluitt | 3-31-1940 | Electrocuted | Dallas | Huntsville, TX | 225 | Murder | |
| Handy, Placido | 6-9-1940 | Electrocuted | Hidalgo | Huntsville, TX | 230 | Murder | |
| Hardin, Joe G. | 5-31-1874 | Lynched | Comanche | Comanche, TX | n/a | ||
| Hardin, Tom | 5-31-1874 | Lynched | Comanche | Comanche, TX | n/a | ||
| Harper, Benjamin | 6-22-1917 | Lynched | Grimes | Courtney, TX | n/a | ||
| Harper, Julius | 7-7-1945 | Electrocuted | Harris | Huntsville, TX | 271 | Murder | |
| Harris, Curtis | 7-1-1993 | Lethal Injection | Brazos | Huntsville, TX | 637 | Robbery | |
| Harris, Danny | 7-30-1993 | Lethal Injection | Brazos | Huntsville, TX | 649 | Robbery | |
| Harris, Kenneth | 6-3-1997 | Lethal Injection | Harris | Huntsville, TX | 901 | Rape | |
| Harris, T. | 5-3-1926 | Electrocuted | Harris | Huntsville, TX | 32 | Murder | |
| Harris, Tommie | 6-6-1941 | Electrocuted | Tarrant | Huntsville, TX | 235 | Murder | |
| Hart, Edward Jr. | 7-29-1942 | Electrocuted | Dallas | Huntsville, TX | 247 | Rape | |
| Hartfield, William | 6-28-1891 | Lynched | Cass | Cass County, TX | n/a | ||
| Haskins, Walter | 4-7-1933 | Electrocuted | Ellis | Huntsville, TX | 110 | Murder | |
| Hassell, George J. | 2-10-1928 | Electrocuted | Parmer | Huntsville, TX | 37 | Murder | |
| Hawkins, Samuel | 2-21-1995 | Lethal Injection | Lubbock | Huntsville, TX | 590 | Rape | |
| Hawkins, William | 10-30-1890 | Lynched | Harris | Cypress, TX | n/a | ||
| Hays, Elijah | 6-23-1917 | Lynched | McLennan | Reisel, TX | n/a | ||
| Heiselbetz, Jr. Earl | 1-12-2000 | Lethal Injection | Sabine | Huntsville, TX | 999014 | Multiple Murder | |
| Helms, Henry | 9-5-1929 | Electrocuted | Eastland | Huntsville, TX | 70 | Robbery | |
| Henderson, Ed | 6-9-1924 | Electrocuted | Polk | Huntsville, TX | 12 | Rape | |
| Henderson, L. D. | 3-21-1947 | Electrocuted | Grimes | Huntsville, TX | 286 | Murder | |
| Henderson, Porter | 6-14-1950 | Electrocuted | Harris | Huntsville, TX | 329 | Murder | |
| Henneker, Charles | 12-8-1843 | Hanged | Galveston Island | ||||
| Henry, Patrick | 10-3-1890 | Lynched | Nechesville, TX | n/a | |||
| Herman, David | 4-2-1997 | Lethal Injection | Tarrant | Huntsville, TX | 999003 | Robbery | |
| Hernandez, Adolph | 2-8-2001 | Lethal Injection | Lubbock | Huntsville, TX | 978 | Murder | |
| Hernandez, Ramon | 1-30-1987 | Lethal Injection | El Paso | Huntsville, TX | 667 | Burglary | |
| Herrera, Jesus | 4-15-1939 | Electrocuted | Wilson | Huntsville, TX | 212 | Murder | |
| Herrera, Leonel | 5-12-1993 | Lethal Injection | Cameron | Huntsville, TX | 702 | Policeman | |
| Herrera, Ofilio | 6-19-1931 | Electrocuted | Mason | Huntsville, TX | 85 | Murder | |
| Hicks, David | 1-20-2000 | Lethal Injection | Freestone | Huntsville, TX | 930 | Rape | |
| Hildreth, W. R. | 11-25-1935 | Electrocuted | Howard | Huntsville, TX | 157 | Murder | |
| Hill, Andrew | 10-3-1948 | Electrocuted | Bowie | Huntsville, TX | 309 | Murder | |
| Hill, Fred | 1-10-1936 | Electrocuted | Travis | Huntsville, TX | 162 | Murder | |
| Hill, Jim | 7-3-1896 | Hanging | Polk | Livingston, TX? | n/a | Murder | |
| Hill, Luther | 7-5-1942 | Electrocuted | Panola | Huntsville, TX | 246 | Murder | |
| Hill, Mack Oran | 8-8-2001 | Lethal Injection | Lubbock | Huntsville, TX | 961 | Robbery | |
| Holloway, Robert | `3-25-1945 | Electrocuted | McLennan | Huntsville, TX | 269 | Murder | |
| Hittle, Daniel | 12-6-2000 | Lethal Injection | Dallas | Huntsville, TX | 981 | Policeman | |
| Hogue, Jerry | 3-11-1998 | Lethal Injection | Tarrant | Huntsville, TX | 660 | Robbery | |
| Holland, David | 8-12-1993 | Lethal Injection | Jefferson | Huntsville, TX | 820 | Robbery | |
| Holmes, Samuel | 11-30-1960 | Electrocuted | Travis | Huntsville, TX | 418 | Rape | |
| Hughes, George | 5-9-1930 | Lynched | Grayson | Sherman, TX | n/a | Rape | Grayson county farm. |
| Hughes, Jr. Billy | 1-24-2000 | Lethal Injection | Matagorda | Huntsville, TX | 556 | Policeman | |
| Hulen, R. J. | 2-6-1953 | Electrocuted | Potter | Huntsville, TX | 367 | Murder | |
| Humphreys, Harle | 5-22-1924 | Electrocuted | Falls | Huntsville, TX | 10 | Murder | |
| Hunt, Dewey R. | 12-29-1933 | Electrocuted | Dallas | Huntsville, TX | 123 | Murder |
Killed for being related to John Wesley Hardin.