Draymond Green added 14 points and 12 rebounds for the Warriors (60-6), who are 31-0 at Oracle Arena this season. With 16 games to go, they remain one game ahead of the 1995-96 Chicago Bulls' pace in their record 72-win season.
Birthday songs, MVP chants, and a serenade and piece of cake from his toddler daughter, Riley, made it a great day for Curry - all after his fifth Western Conference Player of the Week award this season and second in two weeks.
He shot 4 for 9 from 3-point range and 10 of 16 overall.
Anthony Davis had 22 points and 11 rebounds for the Pelicans, while Toney Douglas drew the tough task of defending Curry.
Klay Thompson added 18 points for Golden State, which swept the teams' first-round playoff series last year 4-0.
The Warriors clinched the Pacific Division during their off day Sunday, giving the franchise back-to-back Pacific titles for the first time since the 1974-75 and 1975-76 seasons.
"It's going to go unnoticed for the most part because of our record and because of our goals," coach Steve Kerr said. "It's a major accomplishment."
The Pelicans opened the season at Oracle Arena on Oct. 27 and New Orleans coach Alvin Gentry received his championship ring after serving as Warriors associate head coach last season as the franchise captured its first title in 40 years.
The teams played twice in five days to start the season.
"I told the guys: 'This is a game you should embrace. They're doing something special,'" Gentry said of Golden State.
The Warriors trailed 40-38 with 7:18 before halftime, then went on a 19-6 run late in the second quarter for a 59-50 lead at the break. Marreese Speights had 14 points and seven rebounds, and Anderson Varejao scored seven during the second quarter in another productive night by the reserves.
Click here for more stories and videos about the Warriors.