UNO, now 3-0, was led by Bo McCalebb, who led all scorers with 18 points.
The Green Wave was led by senior David Gomez who scored 15 points and also contributed 6 rebounds and blocked 4 Privateer shots.
The Privateers forced the Green Wave into 13 turnovers in the first half and shot 45.9% from the floor, making 17-of-37 shots. UNO hit on 9-of-21 three-point shots in the half.
Tulane actually shot 47.8% in the first half but took only 23 shots, making 11, and trailed at half time, 39-28.
In the early minutes of the second half UNO extended their lead to 17 at 51-34 with 13:35 remaining. But Tulane staged a 21-2 rally to tie the score at 53.
But the Privateers survived the run and pulled away from the Green Wave again, leading by as many as 8 points before the buzzer.
UNO was held to 9-for-21 from the field in the second half but hit on 12-of-14 free throws down the stretch to ice the win.
Tulane picked up it's shooting in the second half, hitting 14-of-26 from the floor for 53.8%. For the game the Green Wave outshot the Privateers 51% to 44.8%.
For the game, the Green Wave turned the ball over 19 times to UNO's 10. The Privateers had 10 steals.
The Green Wave now embarks on a two-game road swing to face Buffalo and Syracuse. Tulane will tip off against Buffalo on Thursday, Nov. 29, at 6 p.m. Central Time. The Wave faces the Orangemen on Saturday, Dec. 1, also at 6 p.m. Central Time.