Green went just 2 of 10 from the field but added 10 rebounds, and Klay Thompson scored 16 for Golden State.
Curry's shot wasn't falling after halftime, so he adjusted his game and picked up seven assists in the second half and overtime.
The loss wrapped up a strange weekend for the Cavs, who excused Andrew Bynum indefinitely on Saturday for conduct detrimental to the team. The Cavs are trying to trade the 7-foot center, who signed a two-year, $24 million contract with Cleveland in July and showed flashes of being dominant again but became a headache.
Bynum's bizarre situation continues to hover over the Cavs.
His locker was empty except for a half-loaf of whole grain bread, a jar of peanut butter, headphones, a pair of sneakers and shower sandals. It's unlikely he'll be back to fetch them as the Cavs will either deal or release him before Jan. 7, the deadline for his contract to be guaranteed.
The Cavs beat the Warriors at their own fast-paced game in the first half, building a 64-47 lead with 1:13 left before halftime on Jack's 3-pointer.
But Curry, who came in shooting just 32 percent (20 of 63) from the field in his past four games, knocked down a pair of 3-pointers and Golden State closed the half with an 8-0 tear to pull within 64-55 at the break.
Curry went 5 for 5 from long range in the first half.
The Cavaliers reeled off 18 straight points in the first quarter, turning a five-point deficit into a 12-point lead. Irving and C.J. Miles made 3-pointers during the stunning run, which helped Cleveland open a 35-26 lead after one.
NOTES: The Warriors have won six in a row over the Cavs. ... Not surprisingly, Jackson had high praise for Curry, who came in averaging 23.2 points and 9.5 assists. "He's a star player," Jackson said. "I think people realize that. I love the fact he's picking and choosing when to facilitate, when to score. He's scoring the basketball but even more impressive is he's second in the league in assists." ... The Warriors will travel 8,300 miles on their road trip, which ends Jan. 8 at Brooklyn. ... Cavs coach Mike Brown said he had to take off his expensive shoes during the pregame walk-through and convince his young players he wasn't wearing Hush Puppies.