It is located north of Tennessee State Route 431 (University Street, formerly Highway 22) from the central campus area, adjacent to the Ned McWherter Agricultural Complex.

The stadium is named in honor of Hardy M. Graham, a long-time supporter of UT Martin, who has contributed over $1 million to the university.

The current playing surface is FieldTurf, which was installed prior to the 2008 season, replacing natural Bermuda grass.

The new playing surface features alternating shades of green every five yards, the Skyhawk head logo at midfield, two navy blue endzones and a pair of orange sideline boxes.

The State of Tennessee provided funding to construct a modern ROTC facility on the east side of the stadium, replacing an obsolete frame building which had been moved to the central campus area after World War II.

[7][8] A University of Tennessee Capital Projects Report was published on 8/27/13 showing the Graham Stadium press box improvements coming in at $6.5 million.