Mario Chalmers had a season-high 34 points on 12-of-16 shooting from the field, including 10 three-pointers to lead the Heat.
The Heat shot 56.2 percent from the floor as a team and recorded 35 assists on their 45 made field goals. Miami was also 17-of-37 from three-point territory.
Tyreke Evans had eight points and seven rebounds in just over 25 minutes off the bench in his third game back after missing the previous 11 with a knee injury.
Isaiah Thomas led Sacramento with a season-high 34 points on 13-of-22 shooting from the field in the loss. The Kings have now lost four games in a row to fall to 13-24 on the season.