The Bulls were 3 of 16 on 3-point attempts and 22 of 33 on free throw attempts. They also committed 17 turnovers.
"We were coming from behind most of the time," Bulls coach Tom Thibodeau said. "We got away from the basket in the missed free throws and we just turned the ball over. "
The Pelicans dominated in the paint, outscoring the Bulls 50-34.
New Orleans led 50-39 at the half and 71-57 after three quarters. The Pelicans led by as many as 16 in the fourth quarter and maintained a double-digit lead until the final minute. The Bulls were held to 18 points in each of the second and third quarters.
"We went out there and played really tough," Pelicans center Jeff Withey said. "They're a great team and they're physical. We matched their physicality. We just made it really hard to score."
The Pelicans raced to a 50-39 halftime lead behind Davis' nine points and three rebounds. Augustin scored 17 points in the half on 5-of-8 shooting, but as a team Chicago was 12 of 31, including 2 of 7 on 3-pointers.
The Pelicans outscored Chicago 10-2 on fast-break points and 26-12 in the paint.
The Pelicans took control in the opening minutes of the second quarter, going on a 12-2 run to take a 35-23 lead with 7:20 remaining. At one point Chicago committed three of its seven first-half turnovers on consecutive possessions, which New Orleans turned into seven unanswered points. The Pelicans led by 13 on three occasions.
Eric Gordon scored the Pelicans' first seven points but failed to score the rest of the half and finished with nine points on 4-of-15 shooting.
NOTES: Players wore red-and-white warm-up shirts in honor of Black History Month, which is celebrated during February. ... Davis ended January with 51 blocks, more than three teams had combined. Davis sat out the Pelicans last game with a finger injury. ... The Pelicans blocked 14 shots and have blocked at least 10 shots in three of their past four games.