 Media and fans of college football consider the UT program one of the great powerhouses of the game because of the school 's winning record as well as their previous national championships in 1963 , 1969 and 1970 . From 1936 to 2004 , the team finished the season in the top ten team of the Associated Press Poll 23 times , or one @-@ third of the time . At the start of the 2005 season , the Longhorns were one of the most victorious programs in college football history ; they were third in total victories and fourth if measured by winning percentage . 
