The victory is the 12th straight nonconference home victory for the Blazers. UAB beat Mercer in its season opener and had a week off between starts.
The Privateers stayed close through the first half, tying the game 28-28 on an Ezekiel Charles' 3-pointer, but the Blazers answered with three straight layups, two by Will Butler, and went into intermission with a 37-28 advantage.
Lewis Sullivan pulled down 10 rebounds for UAB (2-0) and the team shot 29 of 63 from the field (46 percent), and was 4 of 15 from distance.
Charles knocked down four 3-pointers and led New Orleans (2-2) with 20 points. Scott Plaisance Jr. added 12 points and eight rebounds and Gerrale Gates had 11 points and nine boards.
LSU jelling as a team
Head coach Will Wade shares his thoughts on the Tigers' performance against the Gamecocks and their 4-0 start in SEC play.
Mississippi State picking up momentum
Senior Quinndary Weatherspoon talks about where he can improve and what the future holds for the Bulldogs.
Why 5-foot-11 Markus Howard is the nation's most dangerous scorer
The Marquette guard isn't built like Zion Williamson -- he's 5-11, 175 pounds. But Howard's scoring prowess at the collegiate level is without recent precedent.