LaMarcus Aldridge starred with a season-high 38 points and 13 rebounds to move the Blazers to a 16-3 record, which is the best in the Western Conference.
The small forward also tied the NBA record for most games with a three-point basket as the Hawks ended their two-game slide.
Paul George, who was hampered by a cold, struggled with his shooting, but Lance Stephenson and Luis Scola stepped up to help the Eastern Conference player of the month, opening up a comfortable lead late in the fourth quarter.
Dirk Nowitzki scored 11 of his 21 points inside the fourth quarter, putting the visitors ahead with just over 30 seconds left to play before securing the win with a pair of free throws just eight seconds from full time.
Eric Bledsoe led the team with 20 points to inflict the second straight defeat on the home side.
The game, which had been due to take place in Mexico City, was called off when the arena had to be evacuated 45 minutes before tipoff as the court filled with smoke.
The game will be rescheduled to take place in Minnesota at a later date.
Results in full: Denver Nuggets 88-98 Cleveland Cavaliers, Los Angeles Clippers 97-107 Atlanta Hawks, Phoenix Suns 97-88 Houston Rockets, Detroit Pistons 105-98 Milwaukee Bucks, Dallas Mavericks 100-97 New Orleans Pelicans, Indiana Pacers 95-86 Utah Jazz, San Antonio Spurs P-P Minnesota Timberwolves, Oklahoma City Thunder 104-111 Portland Trail Blazers