In 1994, he joined the Cleveland Browns to become their defensive line coach; he stayed there until 1998. In 1999, he joined the Carolina Panthers to be their defensive line coach and coached there until 2001. In 2002, he was hired for the same position by the Denver Broncos. Burney worked as defensive line coach for the Washington Redskins from 2010-14. The 2013 Redskins defensive line helped the team rank fourth in third-down conversion percentage (34.0) and tied for second in negative rushing plays by opponents (72). In 2014, his defensive line helped the Redskins rank 12th in the NFL in rushing yards allowed and the defense posted 36 sacks.
Burney was hired by the Cincinnati Bengals in 2016 to coach defensive line, rejoining Marvin Lewis from their Baltimore Ravens days, and replacing Jay Hayes who departed for the Tampa Bay Buccaneers.
- 1983-1986 New Mexico: DL
- 1987 Tulsa: DL
- 1988 Mississippi State: ILB
- 1989 Wisconsin: DL
- 1990-1992 UCLA: DL
- 1993 Tennessee: DL
- 1994-1995 Cleveland Browns: DL
- 1996-1998 Baltimore Ravens: DL
- 1999-2001 Carolina Panthers: DL
- 2002-2005 Denver Broncos: DL
- 2006 Denver Broncos: DE
- 2007-2008 Denver Broncos: DL
- 2010-2014 Washington Redskins: DL
- 2016–Present Cincinnati Bengals: DL