The Spurs' starters played an average of 20 minutes on Monday, with Splitter playing 14 after spraining his right ankle in the first half.
The Pelicans shot 38 percent from the field, going 37 for 97 while allowing the Spurs to shoot 54 percent.
San Antonio confounded New Orleans' frontcourt with a defense led by Duncan and wings that kept collapsing on Davis and Jason Smith, who finished with eight points on 4-for-9 shooting.
"(The defense) was real active," Duncan said. "Everyone was real active tonight. With good hands, we made it crowded for everybody. We got a lot of hands on balls. Danny (Green) did a great job in there. We had a lot of guys in there get some steals and turn them into offense. Just all in all, good team defense."
Kawhi Leonard stole a pass and had a breakaway dunk to give San Antonio a 61-40 lead with 9:45 left in the third quarter.
Evans shook his head and looked down almost in surrender after Mills drained a 3 that put San Antonio ahead 81-56 with 3 minutes left in the third.
"We didn't want to play," Davis said. "We (weren't) focused, we weren't locked in. They had 30 assists, open shots, a lot of layups. We just (weren't) playing defense. We tried to stay in it, but we just (weren't) mentally out there tonight."
NOTES: Splitter went to the locker room with 5 minutes left in the first half after stepping on Davis' foot while attempting to guard a pass. Splitter dropped to the floor after his ankle turned awkwardly, allowing Davis an uncontested layup. He returned for the second half, but did not play. Splitter appeared to be walking normally upon his return, but San Antonio led 57-40 entering the second half. ... Williams complained that Parker was traveling "every time" he pump-faked, which drew a sarcastic query of "every time?" from official Ron Garretson. ... Parker spread his arms and then fell to the floor in disbelief after official Olandis Poole called a foul against him on a block of Aminu's layup on a fast break. Replays showed it was a clean block, which made Parker and Popovich even angrier. ... Pelicans F Darius Miller (left foot) and C Gret Stiemsma (left knee sprain) did not play.