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| Player | No.(s) | Height in Ft. | Position | Years for Rockets | School/Club Team/Country |
|---|---|---|---|---|---|
| Haluska Adam Adam Haluska | 50 | 6-5 | Guard | 2008 | Iowa |
| Hamilton, Thomas Thomas Hamilton | 30 | 7-2 | Center | 1999-2000 | Pittsburgh |
| Harrington, Othella Othella Harrington | 32 | 6-9 | Forward | 1996-99 | Georgetown |
| Harris, Mike Mike Harris | 19, 33 | 6-6 | Forward | 2008, 2010-11 | Rice |
| Harris, Steve Steve Harris | 20 | 6-5 | Guard | 1985-88 | Tulsa |
| Hawes, Steve Steve Hawes | 10 | 6-10 | Forward / Center | 1974-76 | Washington |
| Hawkins, Juaquin Juaquin Hawkins | 1 | 6-7 | Forward | 2002-03 | Long Beach State |
| Hayes, Chuck Chuck Hayes | 44 | 6-6 | Forward / Center | 2005-11 | Kentucky |
| Hayes, Elvin Elvin Hayes | 11, 44 | 6-9 | Forward | 1968-72, 1981-84 | Houston |
| Head, Luther Luther Head | 2 | 6-3 | Guard | 2005-09 | Illinois |
| Heggs, Alvin Alvin Heggs | 55 | 6-8 | Forward | 1995 | Texas |
| Henderson, Gerald Gerald Henderson | 9 | 6-2 | Guard | 1991 | Virginia Commonwealth |
| Henderson, Tom Tom Henderson | 6 | 6-3 | Guard | 1979-83 | Hawaii |
| Henry, Conner Conner Henry | 4 | 6-7 | Guard | 1986-87 | UC Santa Barbara |
| Herrera, Carl Carl Herrera | 7 | 6-9 | Forward | 1991-95 | Houston |
| Hicks, Phil Phil Hicks | 33 | 6-7 | Forward | 1976 | Tulane |
| Hill, Jordan Jordan Hill | 27 | 6-10 | Forward | 2010-2012 | Arizona |
| Hollins, Lionel Lionel Hollins | 9 | 6-3 | Guard | 1984-85 | Arizona State |
| Horry, Robert Robert Horry | 25 | 6-10 | Forward | 1992-96 | Alabama |
| Howard, Juwan Juwan Howard | 5 | 6-9 | Forward | 2004-07 | Michigan |
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