Curry was the game's top-scorer with 33 points on 13-of-22 shooting, hitting seven of his 14 three-point attempts.
Thompson also got up 14 three-point attempts as the Warriors – who play at the fastest pace in the league at 111.7 possessions per game – were determined to let it fly from deep.
The second Splash Brother hit five of his 14 attempts, while going one-of-five from two-point range for 19 points of his own. They were supported strongly by Andrew Wiggins, who grabbed a team-high 10 rebounds to go with his 18 points (five-of-10 shooting).
For the Heat, Jimmy Butler was terrific on both ends, leading his team with 27 points on an incredibly efficient eight-of-13 from the field (four-of-seven from deep, made all seven free throws), while adding eight assists, six rebounds and six steals.
The win means the defending champions are 3-2 through their first five games, while Miami fell to 2-4.
The Baniac delivers again
It is the second consecutive game Bane has top-scored for the Grizzlies in a win, after dropping 38 to tie with teammate Ja Morant and set a new franchise record for points by a duo (76) in their victory over the Brooklyn Nets.
Against the Kings, Bane stayed red-hot as he made 11-of-18 field goal attempts, including six-of-eight from long range in a true sharpshooter's performance.
One of the best shooters in the entire NBA, Bane now boasts a career three-point percentage of 43.3 per cent on 5.6 attempts per game.
Thunder collect another win over the Clippers
The Oklahoma City Thunder beat the Los Angeles Clippers for the second time in the past three days with a 118-110 triumph.
George could only muster 10 points on four-of-12 shooting, while center Ivica Zubac grabbed a game-high 18 rebounds with his 12 points. After starting their season with two wins, the Clippers have now lost their past three.