They havent won any national championships
As of September 2014, the Texas Longhorns have won 50 national championships. Six of those championships have come in baseball and four of them in football.
Both Texas (UT) and Tennessee (UT) have won 4 national championships
39 out of their 47 won national championships are NCAA championship wins.
Texas has 4 National Championships in football but only won one technically national championship game which is the BCS.
1 in football in 1939
They won 4. They won in 1963,1969,2005 and they shared it with Nebraska in 1970.
FOUR recognized National Championships... (1963, 1969, 1970, 2005)
Texas has won a total of 47 national championships and 39 of them were NCAA championships, here are some of the championship sports:4 national championships in football 3 under Darrell K. Royal, and 1 under Mack Brown: in 1963,1969,1970,and 2005. Texas baseball has 6 national championships including 1949,1950,1975,1983,2002,and,2005