Miles connected on 8-of-13 from the field and 3-of-5 from the 3-point line.
Free-agent acquisition Kevin Martin led all scorers with 23 points for the Timberwolves (3-1), who played a rough and tumble game in New York on Sunday.
Love missed a potential game-winning 3-pointer at the buzzer that was off the rim.
Love's layup with 35.9 seconds left brought the Wolves to within one point, 93-92.
The Cavs had eight turnovers in the fourth quarter, which contributed to the Wolves outscoring them, 31-17.
The Cavs shot 45.9 percent from the field, compared to the Wolves' 36.2 percent. The Cavs outrebounded Minnesota, 49-43.
Brewer and power forward Derrick Williams each had 13 for the Wolves.
They led 55-38 at halftime. They destroyed the Wolves on the boards, 27-12.
All the Wolves starters played at least 40 minutes on Sunday in New York. It looked like they had little left on Monday.
NOTES: Cavaliers center Andrew Bynum said he has concerns whether the explosiveness will ever return to his game. He was once one of the most athletic big men in the NBA. "It makes you have to rely more on your footwork and skills," he said. He said his next step is playing more minutes in games. He came into Monday's game averaging 9.2 minutes per game. ... Timberwolves forward Kevin Love was named Western Conference Player of the Week for games played Oct. 29 to Nov. 3. He entered Monday leading the NBA in scoring at 29.7 points per game and was second with 14.7 rebounds. "It's cool," Love said. "I'm a little surprised I've never won it before. I want to thank my teammates and coaches. It's a testament to us winning." ... Cavs forward Anthony Bennett came into Monday's game 0-for-12 from the field. One of his misses in Indiana on Saturday came on a fast break that he tried to finger roll instead of dunk. "I told him, 'Go out and be the animal you were in college,' " coach Mike Brown said. ... A league source said the Cavs have signed forwards Michael Lee, Kevin Jones and Tyrell Biggs to their D-League team in Canton, Ohio.