| Rk | Day | Date | Tm | Opp | Tm | Opp | |||
|---|---|---|---|---|---|---|---|---|---|
| 1 | Sun | September 3, 1978 | L | Houston Oilers | @ | Atlanta Falcons | 14 | 20 | box |
| 2 | Sun | September 10, 1978 | W | Houston Oilers | @ | Kansas City Chiefs | 20 | 17 | box |
| 3 | Sun | September 17, 1978 | W | Houston Oilers | San Francisco 49ers | 20 | 19 | box | |
| 4 | Sun | September 24, 1978 | L | Houston Oilers | Los Angeles Rams | 6 | 10 | box | |
| 5 | Sun | October 1, 1978 | W | Houston Oilers | @ | Cleveland Browns | 16 | 13 | box |
| 6 | Sun | October 8, 1978 | L | Houston Oilers | @ | Oakland Raiders | 17 | 21 | box |
| 7 | Sun | October 15, 1978 | W | Houston Oilers | Buffalo Bills | 17 | 10 | box | |
| 8 | Mon | October 23, 1978 | W | Houston Oilers | @ | Pittsburgh Steelers | 24 | 17 | box |
| 9 | Sun | October 29, 1978 | L | Houston Oilers | @ | Cincinnati Bengals | 13 | 28 | box |
| 10 | Sun | November 5, 1978 | W | Houston Oilers | Cleveland Browns | 14 | 10 | box | |
| 11 | Sun | November 12, 1978 | W | Houston Oilers | @ | New England Patriots | 26 | 23 | box |
| 12 | Mon | November 20, 1978 | W | Houston Oilers | Miami Dolphins | 35 | 30 | box | |
| 13 | Sun | November 26, 1978 | W | Houston Oilers | Cincinnati Bengals | 17 | 10 | box | |
| 14 | Sun | December 3, 1978 | L | Houston Oilers | Pittsburgh Steelers | 3 | 13 | box | |
| 15 | Sun | December 10, 1978 | W | Houston Oilers | @ | New Orleans Saints | 17 | 12 | box |
| 16 | Sun | December 17, 1978 | L | Houston Oilers | San Diego Chargers | 24 | 45 | box | |
| 17 | Sun | December 24, 1978 | W | Houston Oilers | @ | Miami Dolphins | 17 | 9 | box |
| 18 | Sun | December 31, 1978 | W | Houston Oilers | @ | New England Patriots | 31 | 14 | box |
| 19 | Sun | January 7, 1979 | L | Houston Oilers | @ | Pittsburgh Steelers | 5 | 34 | box |