| Rk | Day | Date | Tm | Opp | Tm | Opp | |||
|---|---|---|---|---|---|---|---|---|---|
| 1 | Mon | September 4, 1978 | W | Dallas Cowboys | Baltimore Colts | 38 | 0 | box | |
| 2 | Sun | September 10, 1978 | W | Dallas Cowboys | @ | New York Giants | 34 | 24 | box |
| 3 | Sun | September 17, 1978 | L | Dallas Cowboys | @ | Los Angeles Rams | 14 | 27 | box |
| 4 | Sun | September 24, 1978 | W | Dallas Cowboys | St. Louis Cardinals | 21 | 12 | box | |
| 5 | Mon | October 2, 1978 | L | Dallas Cowboys | @ | Washington Redskins | 5 | 9 | box |
| 6 | Sun | October 8, 1978 | W | Dallas Cowboys | New York Giants | 24 | 3 | box | |
| 7 | Sun | October 15, 1978 | W | Dallas Cowboys | @ | St. Louis Cardinals | 24 | 21 | box |
| 8 | Sun | October 22, 1978 | W | Dallas Cowboys | Philadelphia Eagles | 14 | 7 | box | |
| 9 | Thu | October 26, 1978 | L | Dallas Cowboys | Minnesota Vikings | 10 | 21 | box | |
| 10 | Sun | November 5, 1978 | L | Dallas Cowboys | @ | Miami Dolphins | 16 | 23 | box |
| 11 | Sun | November 12, 1978 | W | Dallas Cowboys | @ | Green Bay Packers | 42 | 14 | box |
| 12 | Sun | November 19, 1978 | W | Dallas Cowboys | New Orleans Saints | 27 | 7 | box | |
| 13 | Thu | November 23, 1978 | W | Dallas Cowboys | Washington Redskins | 37 | 10 | box | |
| 14 | Sun | December 3, 1978 | W | Dallas Cowboys | New England Patriots | 17 | 10 | box | |
| 15 | Sun | December 10, 1978 | W | Dallas Cowboys | @ | Philadelphia Eagles | 31 | 13 | box |
| 16 | Sat | December 30, 1978 | W | Dallas Cowboys | Atlanta Falcons | 27 | 20 | box | |
| 17 | Sun | January 7, 1979 | W | Dallas Cowboys | @ | Los Angeles Rams | 28 | 0 | box |
| 18 | Sun | January 21, 1979 | L | Dallas Cowboys | N | Pittsburgh Steelers | 31 | 35 | box |