Will Barton had 14 points, 10 rebounds and four steals for the Tigers (12-5, 3-0 Conference USA), and Tarik Black chipped in 10 points, six rebounds and five blocked shots. Memphis was 34 of 61 (56 percent) from the field.
Memphis dominated from the outset, opening the game on a 12-4 run. Houston pulled to 13-9 after Harris hit two free throws 11:50 before halftime, but that set off another big Memphis run.
Houston got within 47-39 five minutes after halftime, but the Tigers put the game away with an 18-0 run.
Mike Krzyzewski says he has good reason to be excited for next season thanks to a combination of Duke's incoming freshmen and a core of experienced upperclassmen.
Georgia guard Juwan Parker has been awarded a medical redshirt, leaving him with two years of eligibility, after missing the 2015-16 season with a partially torn Achilles tendon.
Forward Trevon Bluiett has withdrawn from consideration from the NBA draft and will return to Xavier for his junior season.