| Date | Location | Result | |
| Jan 1, 1964 | Dallas, Texas | Texas 28, Navy 6 | Box score |
| Nov 28, 1963 | College Station, Tex | Texas 15, Texas A&M 13 | Box score |
| Nov 16, 1963 | Austin, Texas | Texas 17, TCU 0 | Box score |
| Nov 9, 1963 | Austin, Texas | Texas 7, Baylor 0 | Box score |
| Nov 2, 1963 | Dallas, Texas | Texas 17, SMU 12 | Box score |
| Oct 26, 1963 | Austin, Texas | Texas 10, Rice 6 | Box score |
| Oct 19, 1963 | Little Rock, Ark. | Texas 17, Arkansas 13 | Box score |
| Oct 12, 1963 | Dallas, Texas | Texas 28, Oklahoma 7 | Box score |
| Oct 5, 1963 | Austin, Texas | Texas 34, Oklahoma State 7 | Box score |
| Sep 28, 1963 | Austin, Texas | Texas 49, Texas Tech 7 | Box score |
| Sep 20, 1963 | New Orleans, La. | Texas 21, Tulane 0 | Box score |