It will be Houston's first appearance in the Elite Eight since 1984 during the Phi Slama Jama era.
Quentin Grimes scored 14 points, and Justin Gotham added 13 points and 10 rebounds for the second-seeded Cougars. The Cougars also got a strong all-around effort from DeJon Jarreau, who flirted with a triple-double and led the defensive effort on Buddy Boeheim.
Boeheim finished with 12 points after averaging 28 in his past four games for 11th-seeded Syracuse.
The Cougars (27-3) are winners of 10 straight.
You can catch the Cougars Elite Eight showdown with Oregon State Monday at 6:15 on KHOU Channel 11!
Check out some of the highlights below!
Mattress Mack bets big on Cougars
Jim 'Mattress Mack' McInglvale has one million reasons to want the Cougars to win it all this year. He talked to KHOU 11's Matt Musil today about the bet.