| Dover International Speedway
May 21, 1978 NASCAR Sprint Cup Series 1-Mile Superspeedway 500 Laps/500 Miles |
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| Pos | Driver | Points | Starts | Wins | Top 5 | Top 10 | Avg Fin |
|---|---|---|---|---|---|---|---|
| 1 | Benny Parsons | 1,707 | 11 | 2 | 8 | 8 | 7.1 |
| 2 | Dave Marcis | 1,671 | 11 | 0 | 6 | 9 | 6.4 |
| 3 | Cale Yarborough | 1,667 | 11 | 2 | 7 | 7 | 8.4 |
| 4 | Darrell Waltrip | 1,498 | 11 | 3 | 5 | 6 | 13.1 |
| 5 | Lennie Pond | 1,498 | 10 | 0 | 7 | 8 | 7.6 |
| 6 | Bobby Allison | 1,495 | 11 | 2 | 3 | 7 | 12.1 |
| 7 | Buddy Arrington | 1,409 | 11 | 0 | 1 | 3 | 12.0 |
| 8 | Richard Petty | 1,395 | 11 | 0 | 4 | 5 | 14.0 |
| 9 | Skip Manning | 1,370 | 11 | 0 | 1 | 4 | 13.4 |
| 10 | Richard Childress | 1,341 | 11 | 0 | 0 | 6 | 14.4 |
| 11 | Dick Brooks | 1,306 | 11 | 0 | 2 | 5 | 15.6 |
| 12 | Neil Bonnett | 1,228 | 11 | 0 | 3 | 5 | 18.8 |
| 13 | Frank Warren | 1,157 | 11 | 0 | 0 | 0 | 19.3 |
| 14 | Tighe Scott | 1,124 | 11 | 0 | 0 | 2 | 20.4 |
| 15 | Cecil Gordon | 1,108 | 11 | 0 | 0 | 1 | 20.8 |
| 16 | Jimmy Means | 1,059 | 10 | 0 | 0 | 2 | 19.1 |
| 17 | Tommy Gale | 1,015 | 10 | 0 | 0 | 0 | 20.5 |
| 18 | Roger Hamby | 967 | 10 | 0 | 0 | 0 | 22.1 |
| 19 | David Pearson | 935 | 8 | 2 | 3 | 3 | 18.1 |
| 20 | Ronnie Thomas | 888 | 9 | 0 | 0 | 0 | 21.4 |
| 21 | Baxter Price | 863 | 8 | 0 | 0 | 0 | 18.4 |
| 22 | Dick May | 861 | 9 | 0 | 0 | 0 | 22.4 |
| 23 | James Hylton | 806 | 6 | 0 | 0 | 3 | 10.3 |
| 24 | Ed Negre | 759 | 8 | 0 | 0 | 1 | 22.8 |
| 25 | Buddy Baker | 731 | 6 | 0 | 1 | 3 | 16.3 |