Giffords, D-Ariz., was shot and critically wounded during an appearance outside a Tucson grocery store Saturday, in an incident that claimed the lives of six people, including a federal judge, and injured 13 others.
The basketball game, scheduled for the McKale Center on the University of Arizona's Tucson campus, was postponed out of respect for the victims, Arizona Athletic Director Greg Byrne said.
"The university feels the game should be delayed with deep respect to the victims and families impacted by this tragedy," Byrne said.
Byrne added that campus security forces that normally would have been at the basketball game were instead involved in the investigation of the shooting.
The game was moved to 12:30 p.m. Sunday.