The game was slated to be held at the Alamodome in San Antonio.
"As families across Southeast and South Central Texas struggle with the catastrophic flooding and impact of the storm, our focus must be on how we all can help," UTSA president Taylor Eighmy said in a statement. "In lieu of this weekend's game, I urge Roadrunners, the San Antonio community and all Texans to support recovery efforts in Houston and across the region, including donating to disaster relief efforts."
Houston announced that none of its athletic teams will play in events this weekend, including women's volleyball, soccer and cross country.
"Everyone in our university community, including our student-athletes, coaches and their staff, has been impacted by this incredible storm," Houston president Renu Khator said in a statement. "This is a time for all of us to focus on the wellbeing of our families and neighbors and the recovery of the Houston area.
"We'll be excited to resume athletic competition, but right now our student-athletes are anxious to contribute to getting the city we love so much back on its feet again."
The two schools are hoping to reschedule the football game for later this season.