Wes VanBeck scored nine points - all on 3-pointers - for Houston (18-7, 9-4 American Athletics Conference), which hit 12 of 27 from distance.
Houston led 36-25 at halftime after forcing nine turnovers and holding Tulsa to 30.8 percent shooting.
Pat Birt pulled Tulsa within 65-59 on a 3-pointer with 4:55 left but at the other end, Gray had two 3-point attempts after an offensive rebound, making the second, and Houston led by at least eight the rest of the way.
Corey Henderson Jr. made five of his team's eight 3-pointers and scored 19 points for Tulsa (12-12, 6-6). Martins Igbanu added 10 points and Galen Robinson Jr. had seven assists and four steals.
The Golden Hurricane finished with 15 turnovers and attempted 18 fewer field goals.
Following Saturday's game, the Cougars play host to No. 25/rv SMU at 5 p.m., Saturday, inside Hofheinz Pavilion... Cougars look to split the regular-season series after the Mustangs took an 85-64 win on Jan. 21 in Dallas.
Game can be seen on ESPN2 and heard on KPRC 950 AM.
From there, Cougars welcome UConn to Hofheinz Pavilion for an 8 p.m., Feb. 22, showdown.
Cougars claimed a 62-46 win over the Huskies inside the XL Center in Hartford, Conn., on Dec. 28, 2016, in the American Athletic Conference opener for both teams.
Game can be seen on CBS Sports Network and heard on KPRC 950 AM.
Single-game tickets and group ticket packages are available to accommodate all budgets. Fans can visit uhcougars.com/tickets, 24 hours a day, seven days a week, and follow the appropriate links or call 713-GO-COOGS (462-6647) to order tickets.
Current University of Houston main campus students are admitted FREE to all Men's Basketball games with valid IDs. Main campus students may purchase student guest tickets to each Men's Basketball game for $5 each, based on availability.
Single game tickets begin at only $12 for American Athletic Conference games.
COACHES vs. CANCER 3-POINT CHALLENGE
The Cougars also will take part in the Coaches vs. Cancer 3-Point Challenge. Houston fans are invited to visit pledgeit.org/cvc-houston and pledge a dollar amount for every 3-pointer the Cougars make from Feb. 1 to March 5.
The funds raised will help the American Cancer Society continue its mission to improving and saving lives by doing the most to help people with cancer today and working tirelessly to find cures for the disease tomorrow.
JOIN the 50-50 CLUB
Fans are invited to join the 50-50 Club to support Houston Men's Basketball. 50-50 Club members help fund program necessities and enhance the experience for our student-athletes.
Fans who join the 50-50 Club will receive embroidered team apparel, a signed basketball, invitations to practice, a tour of the $25 million Guy V. Lewis Development Facility, regular updates about the program and much more.
Fans can receive updates by following @UHCougarMBK on Twitter and catch up with the latest news and notes on the team by clicking LIKE on the team's Facebook and Instagram pages.