The 1979 Houston Cougars football team, also known as the Houston Cougars, Houston, or UH, represented the University of Houston in the 1979 NCAA Division I-A football season. The Cougars were led by 18th-year head coach Bill Yeoman and played their home games at the Astrodome in Houston, Texas. They competed as members of the Southwest Conference, finishing as co-champions with Arkansas. This was Houston's second consecutive conference championship, and their third overall in their first four years as members of the conference.
The Cougars finished the season with a record of 11–1. Their only loss was at home to the eighth-ranked Texas Longhorns, 21–13. Houston was invited to the 1980 Cotton Bowl Classic, played on New Year's Day, where they defeated seventh-ranked Nebraska. Houston finished ranked fifth in both major final polls.
