Portland, which has the longest current winning streak in the NBA, has not won as many consecutive games since the Blazers were victorious in 12 straight in the 2001-02 season.
Allen Iverson and Carmelo Anthony each had 34 points for the Nuggets. Anthony added 12 rebounds.
Portland started the streak with a win Dec. 3 at Memphis, after going 5-12 to start the season. Seven of the 10 wins have come at home, where the Blazers are 12-3.
With the game tied at 94, James Jones made the second of two free throws with 36.2 seconds left.
After Roy blocked Anthony's try, Travis Outlaw made a pair of free throws to give the Blazers a 97-94 lead. Iverson's driving layup with 6.9 seconds left narrowed the deficit to one.
Jarrett Jack made a pair of free throws to extend the lead back to three before Linas Kleiza's 3-pointer was blocked by Outlaw for the final margin.
Denver was playing the second game of a back-to-back. The Nuggets beat Houston in double overtime on a last-second jumper by Anthony Carter.
The Nuggets were without starting forward Kenyon Martin. He left in the second half against the Rockets with a leg injury and did not return. Denver started Jelani McCoy in his place. McCoy, signed on Friday, played in five games with the Nuggets this season before he was waived Wednesday.