| Dover International Speedway
May 20, 1984 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 | Darrell Waltrip | 1,692 | 11 | 3 | 6 | 10 | 7.4 |
| 2 | Terry Labonte | 1,634 | 11 | 0 | 6 | 8 | 8.4 |
| 3 | Ricky Rudd | 1,600 | 11 | 1 | 3 | 9 | 8.5 |
| 4 | Bill Elliott | 1,596 | 11 | 0 | 4 | 9 | 8.2 |
| 5 | Dale Earnhardt | 1,560 | 11 | 0 | 4 | 8 | 9.5 |
| 6 | Richard Petty | 1,546 | 11 | 1 | 3 | 7 | 9.7 |
| 7 | Harry Gant | 1,473 | 11 | 0 | 2 | 6 | 12.1 |
| 8 | Neil Bonnett | 1,422 | 11 | 0 | 4 | 6 | 13.2 |
| 9 | Ron Bouchard | 1,415 | 11 | 0 | 3 | 6 | 12.9 |
| 10 | Bobby Allison | 1,384 | 11 | 1 | 4 | 4 | 14.8 |
| 11 | Geoff Bodine | 1,366 | 11 | 1 | 2 | 6 | 14.4 |
| 12 | Dave Marcis | 1,312 | 11 | 0 | 1 | 4 | 15.2 |
| 13 | Joe Ruttman | 1,216 | 11 | 0 | 0 | 3 | 18.0 |
| 14 | Tim Richmond | 1,187 | 11 | 1 | 3 | 4 | 20.0 |
| 15 | Rusty Wallace | 1,141 | 11 | 0 | 0 | 1 | 20.4 |
| 16 | Trevor Boys | 1,120 | 11 | 0 | 0 | 0 | 20.5 |
| 17 | Kyle Petty | 1,119 | 11 | 0 | 1 | 2 | 20.7 |
| 18 | Dick Brooks | 1,088 | 11 | 0 | 0 | 1 | 21.7 |
| 19 | Clark Dwyer | 1,058 | 11 | 0 | 0 | 0 | 22.3 |
| 20 | Buddy Arrington | 985 | 10 | 0 | 0 | 0 | 21.5 |
| 21 | Greg Sacks | 985 | 10 | 0 | 0 | 0 | 21.5 |
| 22 | Phil Parsons | 965 | 8 | 0 | 0 | 2 | 14.6 |
| 23 | Ronnie Thomas | 946 | 11 | 0 | 0 | 0 | 25.8 |
| 24 | Jimmy Means | 891 | 9 | 0 | 0 | 0 | 21.3 |
| 25 | Mike Alexander | 849 | 10 | 0 | 0 | 0 | 22.7 |