| Harmon S. Graves | |
| Birth Date: | 4 October 1870 |
| Birth Place: | Cambridge, New York, U.S. |
| Death Place: | Grand Isle, Vermont, U.S. |
| Player Years1: | 1889 |
| Player Team1: | Yale |
| Player Years2: | 1891–1892 |
| Player Team2: | Yale |
| Player Positions: | Halfback |
| Coach Years1: | 1893 |
| Coach Team1: | Lehigh |
| Coach Years2: | 1894–1895 |
| Coach Team2: | Army |
| Overall Record: | 15–7 |
Harmon Sheldon Graves (October 4, 1870 – September 13, 1940) was an American football player, coach, and lawyer. He served as the head coach at Lehigh University in 1893 and the United States Military Academy from 1894 to 1895, compiling a career college football record of 15–7. He coached the Pittsburgh Athletic Club football team late in the 1895 season.[1] Graves played football as a halfback at Yale University. He later practiced law in New York City.[2]