According to FOX31 in Denver, Moreno was pulled over while driving up to 70 mph in a Bentley convertible with personalized license plates that read "SAUCED."
The area's posted speed limit is usually 65 mph, but is currently at 45 mph because of construction, The Denver Post reported Monday.
According to the FOX31 report, the officer on the scene smelled alcohol and administered a roadside sobriety test, which Moreno performed poorly.
Moreno was also given a breath test for alcohol, FOX31 said, and then arrested for DUI.
"We take the incident involving Knowshon Moreno very seriously, and are thoroughly reviewing this matter," the Broncos said in a statement Monday. "Our organization will continue to gather information and closely monitor this issue while the legal process takes its course."
Moreno, the No. 12 overall pick of the 2009 draft, is currently rehabilitating a torn ACL he suffered during the 2011 season. Denver is expected to bring in a running back either early in the draft or in free agency. Moreno lost his starting job to Willis McGahee last season.
Moreno's best chances of sticking in Denver in 2012 likely is as a third-down back.
Moreno is slated to be arraigned on March 2, according to The Post.
Information from ESPN.com's Bill Williamson contributed to this report.