The Orangemen, now 5-2, were led by Jonny Flynn with 17 points and Eric Devendorf with 16 points.
Tulane shot only 33% from the floor in the first half but trailed by only seven, 28-21, because Syracuse shot only 34 %.
In the second half the Orange turned it around to shoot 50% from the floor en route to a 13-point margin of victory while the Green Wave's shooting continued to languish at 35%.
The Wave struggled on the boards as well, losing the rebound battle to the taller Orangemen, 47-33.
The Green Wave hit all 19 of their free throw attempts.
Despite the shooting and rebounding problems, the Greenies cut the Syracuse lead to single digits in both halves.
Tulane will return to action on Wednesday, December 5 against Huston-Tillotson at Fogelman Arena. Tip-off is slated for 7 p.m.