Kendall Timmons led the Green Wave (12-9, 2-6) in defeat, netting 21 points and grabbing seven rebounds. David Booker and Johnny Mayhane each added 12 points, while Kris Richard registered a team-high 11 rebounds.
Tulane led 31-25 with 1:06 remaining in the first half, before Rice reeled off six unanswered points to knot the game at 31-31 at intermission.
The Owls pulled away in the second half behind a 13-of-21 performance from the floor.
Rice took advantage of Tulane’s charity, hitting 18-of-20 free throws on the night. The Green Wave has now lost six straight games.