Bolden was selected by the Broncos in the fourth round of the 2012 draft out of Arizona State and played his first three seasons under Fox and Bears special-teams coordinator Jeff Rodgers in Denver.
Bolden appeared in 56 games with one start for the Broncos, averaging 24.7 yards on 77 kickoff returns and 24.6 yards on five punt returns including an 83-yard touchdown. The 5-10, 195-pounder also recorded 27 tackles on special teams and 24 on defense.
"I'm excited to be a Bear," Bolden told ChicagoBears.