Colquitt played football, basketball and soccer at Bearden High School in Knoxville, Tennessee.

He was first suspended from the University of Tennessee football team in March 2004 after three alcohol-related arrests,[3] despite having only arrived on campus in 2003.

[9] Colquitt was signed to the Broncos' active roster from the Miami Dolphins' practice squad on December 30, 2009.

[10] On September 12, 2010, in the season opener against the Jacksonville Jaguars, Colquitt made his NFL debut and had four punts for 172 net yards (43.00 average).

[17] On August 11, 2013, he signed a three-year extension worth $11.6 million on top of his one-year tender.

[19] The Broncos reached Super Bowl XLVIII, which they lost to the Seattle Seahawks by a score of 43–8.

In the game, the Broncos defeated the Carolina Panthers by a score of 24–10, giving Colquitt his first Super Bowl victory.

[25] On September 3, 2016, Colquitt signed a one-year deal with the Cleveland Browns worth $1.7 million.

His father, Craig, won two Super Bowl rings playing for the Pittsburgh Steelers.