Golden State had led by four points in the final minute of regulation, before P.J. Washington hit a jumper, followed by a Dennis Smith Jr layup to tie the game.
Curry missed a tough three-point attempt to win the game at the end of regulation time, and airballed another shot in overtime. The Warriors point guard finished with three-of-13 from beyond the arc, making 10-of-22 from the field.
The Hornets, who were without LaMelo Ball and Terry Rozier, were rampant in overtime, with Washington finishing the game with 31 points and Jalen McDaniels draining a crucial triple. Gordon Hayward made a strong contribution with 23 points and four assists.
Golden State shot at 29.5 per cent from three-point range, with Klay Thompson battling on one-of-seven shooting from beyond the arc in his 11 points.
Jordan Poole made four-of-11 attempts in his 24 points off the bench for the Warriors, who are 0-2 on the road this season and 3-3 overall.
Clutch Embiid lifts 76ers to back-to-back wins
Joel Embiid scored 25 points but none were better than his tiebreaking three-point shot as the Philadelphia 76ers made it back-to-back wins with a 114-109 victory over the Chicago Bulls.
Embiid drained his wide-open three-point shot to put the 76ers up 112-109 with 18.1 seconds remaining in the game as Philadelphia improved to 3-4 after their 1-4 start to the season.
The 76ers center had seven rebounds and four assists, while James Harden contributed 15 points on two-of-13 field shooting with 11 assists, while Tyrese Maxey scored 14 points after posting a career-high 44 on Friday.
The Brooklyn Nets' defensive woes continued as they fell to a fourth straight loss, going down 125-116 to the Indiana Pacers for whom rookie Bennedict Mathurin scored a career-high 32 points.
The Nets conceded another big score, averaging 124.5 points against during their four-game losing skid, with Kevin Durant contributing 26 points with five rebounds and four blocks.
Kyrie Irving, who has come under fire for appearing to show support to an antisemitic film this week, responded on the court with 35 points including five triples with six assists.