H
| Player | Nationality | No. | Position | From | To | School/Country | Ref. | |
|---|---|---|---|---|---|---|---|---|
| , Happy Hairston | United States | 52 | Forward | 1969 | 1975 | NYU | ||
| , Jack Haley | United States | 54 | Forward/Center | 1991 | 1992 | UCLA | ||
| , Dennis Hamilton | United States | 52 | Forward | 1967 | 1968 | Arizona State | ||
| , Steve Hamilton | United States | 30 | Forward/Center | 1958 | 1960 | Morehead | ||
| , Alan Hardy | United States | 25 | Forward | 1980 | 1981 | Michigan | ||
| , Derek Harper | United States | 12 | Guard | 1999 | 1999 | Illinois | ||
| , Ron Harper | United States | 4 | Guard | 1999 | 2001 | Miami (OH) | ||
| , Bob Harrison | United States | 16 | Guard | 1949 | 1954 | Michigan | ||
| , Antonio Harvey | United States | 40 | Forward/Center | 1993 | 1995 | Pfeiffer | ||
| , Billy Hassett | United States | 11 | Guard | 1949 | 1950 | Notre Dame | ||
| Connie Hawkins* | United States | 42 | Forward/Center | 1973 | 1975 | Iowa | ||
| , Tom Hawkins | United States | 20 | 33 | Forward | 1959; 1966 | 1962; 1969 | Notre Dame | |
| , Nate Hawthorne | United States | 20 | Guard | 1973 | 1974 | Southern Illinois | ||
| , Spencer Haywood | United States | 31 | Forward/Center | 1979 | 1980 | Detroit | ||
| , Walt Hazzard (Mahdi Abdul-Rahman) |
United States | 42 | Guard | 1964 | 1967 | UCLA | ||
| , Jerome Henderson | United States | 23 | Forward/Center | 1985 | 1986 | New Mexico | ||
| , Fred Hetzel | United States | 30 | Forward/Center | 1970 | 1971 | Davidson | ||
| , Bill Hewitt | United States | 30 | Forward | 1968 | 1970 | USC | ||
| , Mike Higgins | United States | 55 | Forward | 1989 | 1990 | Northern Colorado | ||
| , Jordan Hill | United States | 27 | Forward/Center | 2012 | present | Arizona | ||
| , Lew Hitch | United States | 11 | Forward/Center | 1951; 1954 | 1953; 1957 | Kansas State | ||
| , Brad Holland | United States | 14 | Guard | 1979 | 1981 | UCLA | ||
| , Jim Holstein | United States | 12 | Guard/Forward | 1952 | 1956 | Cincinnati | ||
| , Johnny Horan | United States | - | Forward | 1955 | 1956 | Dayton | ||
| , Ron Horn | United States | 24 | Forward | 1962 | 1963 | Indiana | ||
| , Robert Horry | United States | 5 | Forward | 1997 | 2003 | Alabama | ||
| , Dwight Howard | United States | 12 | Center | 2012 | present | Southwest Atlanta Christian Academy | ||
| , Lou Hudson | United States | 23 | Guard/Forward | 1977 | 1979 | Minnesota | ||
| , Rod Hundley | United States | 33 | Guard | 1957 | 1963 | West Virginia | ||
| , Lindsey Hunter | United States | 10 | Guard | 2001 | 2002 | Jackson State | ||
| , Joe Hutton | United States | 4 | Guard | 1950 | 1952 | Hamline | ||
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