Serge Ibaka supplied 19 points and 10 rebounds, while James Harden also put in 19 points as the Western Conference-leading Thunder reeled off their third straight win.
Kendrick Perkins added 16 points for Oklahoma City in the first meeting of the year between the two NBA heavyweights.
The Heat's four-game winning streak was snapped despite 22 points from Dwyane Wade and 18 from Chris Bosh.
Superstar forward LeBron James was limited to 17 points for Miami.
Megyn Kelly: Santa Claus and Jesus are both white men
Costly malfunction causes beer flood at Boston-area brewery