Kevin Johnson added 15 points for the Bearcats (20-9, 11-5 American Conference), Shaquille Thomas had 11 points and Gary Clark had eight points and nine rebounds.
Johnson sank back-to-back 3-pointers - he was 4 of 6 from distance overall - to cap a 13-4 start for the Bearcats on their way to a 30-16 advantage at the break.
Tulane got to within 12 points, 37-25, early in the second half but could not get closer as Cincinnati continued to dominate and cruised to the win. The Bearcats outrebounded Tulane 40-26 overall and finished with 47.2 percent shooting from the field compared to 34.8 percent for Tulane.
Louis Dabney led the Green Wave (14-14, 5-11) with 18 points.