The Heat turned in a dominating performance, shooting 51 percent from the field and forcing 27 turnovers. The 67 points were the fewest the Bulls have scored this season.
James grabbed 12 rebounds and had seven assists to keep Miami's longest winning streak of the campaign going.
Dwyane Wade added 17 points and eight rebounds for Miami. The Heat scored 13 straight points in the second period en route to a 45-35 halftime lead.
Chicago defeated Miami in their first meeting last month. Miami won despite scoring fewer than 100 points for the first time in seven games.