The Green Wave's record falls to 13-12 overall and 6-7 in C-USA.
The Cougar's record now stands at 15-12 overall, and 9-4 in C-USA.
Tulane was led in scoring by freshman Kevin Sims with 14 points. David Gomez scored 12 points and grabbed 8 rebounds, while Matt Wheaton added 10 points and 11 rebounds, and Donnie Stith added 10 points.
As a team, the Coogs made eight three-point shots to the Green Wave's four. Lafayette led the Cougar's with four trey's.
Tulane trailed by as many as ten in the second half, but rallied in the final minutes to cut the Cougar lead to three points. But the Wave could come no closer, and in the end Tulane could not overcome the differential in points scored off those turnovers.
Houston scored 21 points off the 20 Tulane turnovers, while the Green Wave scored only 10 points off the 7 turnovers committed by the Cougars.
Tulane returns to action Saturday, Feb. 24, at Fogleman Arena when they entertain the Southern Miss Golden Eagles in a game that will be telecast by CSTV. Tipoff is at 3 p.m.