The Warriors guard also made 18 of 19 free throw attempts in the 137-122 win on Sunday at Chase Center in San Francisco.
Curry -- who missed almost the 2019-20 season due to a hand injury -- had a previous career-high of 54 points on Feb. 27, 2013.
"I know I have a lot left in the tank," Curry told reporters. "I'm just thankful that I'm healthy able to be back out there playing, enjoying the game that I love and surprising myself sometimes."
Curry erupted for 21 points through the first 12 minutes. He made 7 of 11 shots in the first quarter to help the Warriors earn a 36-33 edge in the frame. He added another 10 points in the second quarter and scored 14 points in the third quarter.
Curry splashed in a trio of 3-points and scored 17 points over the final 12 minutes. He also finished the night with five rebounds and four assists.
Warriors forward Andrew Wiggins chipped in 21 points in the win. Rookie center James Wiseman had 12 points and 11 rebounds for the Warriors. Kelly Oubre Jr. scored 17 points in the win.
"We've seen Steph do so many amazing things at Oracle Arena and now here at Chase Center," Warriors coach Steve Kerr said.
"It's just a privilege to coach him."