Boyett, drafted in the sixth round in 2013 by the Indianapolis Colts, was arrested by Greenwood Village police early Wednesday morning after an incident with a cab driver, sources told The Denver Post.
He did not participate in the Broncos' practice that morning.
"We are disappointed to learn of the matter involving John Boyett and are in the process of gathering more information," the team told The Post on Wednesday evening.
The arrest was Boyett's second run-in with authorities in just more than a year. In September 2013, after making Indianapolis' roster, he was arrested on charges of disorderly public intoxication and resisting arrest.
Police said he ran from officers after being refused entry to a bar, threatening police as they pursued him.
"You can't arrest me, I'm a Colts player," Boyett said during his arrest. The Colts cut him the next day.
Boyett was signed to Denver's practice squad last November. After being cut at the conclusion of training camp this year, he was re-signed and has spent the first seven weeks of this season on the team's practice squad.
The Broncos, 5-1 this season and currently first in the AFC West, host the San Diego Chargers, who are 5-2 and second in the AFC West, on Thursday night.
- Christopher Woody