He previously worked on Andy Reid's staff with the Philadelphia Eagles, with whom he appeared in Super Bowl XXXIX, and Kansas City Chiefs from 1999 to 2016.

Culley assumed his first head coaching position with the Houston Texans in 2021; however, he was fired after only one season, finishing with a 4–13 record.

He attended White County High School, where he played point guard in basketball, pitcher in baseball and quarterback in football.

Culley then joined as the quarterbacks and running backs coach at Middle Tennessee State University in 1982.

The Eagles made it to one Super Bowl during Culley's tenure; in 2005 and in 5 NFC Championship Games; 4 straight from the 2001 to 2004 seasons and in 2008.

In his 2nd year, Culley coached rookie and future Pro Bowl quarterback Josh Allen, the 7th pick in the 2018 draft.

Culley was fired by the Texans on January 13, 2022, with general manager Nick Caserio citing "philosophical differences over the long-term direction and vision for our program moving forward.