Behind 2-1, Houston seized the lead in the fourth when junior Christa Raley hit a two-run home run to left field. She scored Haley Valis, who had reached base on a single.
Houston put up two more runs in the fifth inning. In the sixth, Houston loaded the bases and senior Amanda Grote hit a three-run double.
Houston registered 12 hits in the game, their 18th double-digit hit game this season.
UH senior Angel Shamblin (23-2) allowed two hits, two runs, one walk and seven strikeouts in six innings of work.
In the second game of the double-header, Houston fell to the Golden Hurricane, 1-0 for just their second loss in Conference USA despite outhitting Tulsa 6-3.
Tulsa's single run came in the fourth inning after Sara Dyer reached base on a walk. After moving around the bases, she scored on a wild pitch.
Senior Barbie Love (9-2) went the distance in the loss. She allowed three hits, one run, three walks and struck out three.
Houston is now 39-7 overall this season and 14-2 in Conference USA play. The Coogs are now 5-4 in the all-time series against the Golden Hurricane.
The series will wrap up Sunday with a 1pm game at the Donna J. Hardesty Sports Complex in Tulsa, Okla. Fans can follow the game using the gametracker link at www.UHCougars.com. It can be found by clicking on the softball schedule page.