Jake Plummer was 17-of-24 for 262 yards passing and two touchdowns, and Tatum Bell rushed for 114 yards on 13 carries and one touchdown. Ashley Lelie added 81 yards on three catches, and Mike Anderson ran for 57 yards and one touchdown on 15 carries.
The Broncos rose to 5-1 after their fifth win in a row.
For New England, Tom Brady was 24-of-46 for 299 yards, no interceptions and one touchdown and Patrick Pass had 89 yards on six receptions. He added 64 yards on 10 carries.
The Patriots are 3-3 and have lost more than two games in a season for the first time in three years.