He previously served as the head coach at the University of Montana from 2015 to 2017 and at Colorado School of Mines from 2000 to 2014, where he compiled an overall record of 108–62.

In both 2006 and 2008, CSM appeared in the Dixie Rotary Bowl, and they split the RMAC title in the 2010 season with the University of Nebraska at Kearney.

In Stitt's first football game as a Division I coach, Montana upset four-time defending FCS national champions North Dakota State 38–35 on a 1-yard run with 0:06 left on the clock.

[3] On February 7, 2025, Bob Stitt returned to Colorado School of Mines as the head football coach, resuming the role he previously held from 2000 to 2014.

[4] Stitt became known to people outside the CSM community, when Dana Holgorsen, the head coach at West Virginia University, gave him credit for the fly sweep play his Mountaineers team used to great success in the 2012 Orange Bowl.