Harmon Sheldon Graves (October 4, 1870 – September 13, 1940) was an American college football player, coach, and lawyer.

He served as the head football coach at Lehigh University in 1893 and the United States Military Academy from 1894 to 1895, compiling a career head coaching 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.

This biographical article relating to a college football coach first appointed in the 1890s is a stub.