| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | Jim Clark | 5 | Colin Chapman | Lotus 33 R10/Climax | 85 | 3,640 | running | 85 |
| 2 | 2 | John Surtees | 1 | Scuderia Ferrari | Ferrari 158 0005/Ferrari | 85 | 3,780 | running | 0 |
| 3 | 5 | Graham Hill | 3 | Alfred Owen | BRM P261 2616/BRM | 85 | 3,640 | running | 0 |
| 4 | 4 | Mike Spence | 6 | Colin Chapman | Lotus 33 R9/Climax | 85 | 2,660 | running | 0 |
| 5 | 8 | Bruce McLaren | 9 | John Cooper | Cooper T73 F1-1-64/Climax | 84 | 2,408 | running | 0 |
| 6 | 11 | Jackie Stewart | 4 | Alfred Owen | BRM P261 2617/BRM | 83 | 2,660 | running | 0 |
| 7 | 14 | Jo Siffert | 12 | Rob Walker | Brabham BT11 F1-6-64/BRM | 83 | 420 | running | 0 |
| 8 | 3 | Jack Brabham | 7 | Jack Brabham | Brabham BT11 F1-1-64/Climax | 81 | 2,296 | running | 0 |
| 9 | 16 | Paul Hawkins | 18 | John Willment Automobiles | Brabham BT10 F2-4-64/Ford | 81 | 420 | running | 0 |
| 10 | 17 | Piet de Klerk | 20 | Otelle Nucci | Alfa Romeo Special/Alfa Romeo | 79 | 420 | running | 0 |
| 11 | 13 | Tony Maggs | 15 | Tim Parnell | Lotus 25 R4/BRM | 77 | 420 | running | 0 |
| 12 | 15 | Frank Gardner | 16 | John Willment Automobiles | Brabham BT11 F1-4-64/BRM | 75 | 420 | running | 0 |
| 13 | 20 | Sam Tingle | 25 | Sam Tingle | LDS Mk1 01/Alfa Romeo | 73 | 420 | running | 0 |
| 14 | 19 | David Prophet | 19 | David Prophet | Brabham BT10 F2-10-64/Ford | 71 | 420 | running | 0 |
| 15 | 6 | Lorenzo Bandini | 2 | Scuderia Ferrari | Ferrari 1512 0007/Ferrari | 66 | 3,500 | ignition | 0 |
| 16 | 12 | Bob Anderson | 14 | Bob Anderson | Brabham BT11 F1-5-64/Climax | 50 | 420 | running | 0 |
| 17 | 7 | Joakim Bonnier | 11 | Rob Walker | Brabham BT7 F1-2-63/Climax | 42 | 420 | clutch | 0 |
| 18 | 10 | Jochen Rindt | 10 | John Cooper | Cooper T73 F1-2-64/Climax | 39 | 2,100 | electrical | 0 |
| 19 | 18 | John Love | 17 | John Love | Cooper T55 F1-11-61/Climax | 20 | 420 | halfshaft | 0 |
| 20 | 9 | Dan Gurney | 8 | Jack Brabham | Brabham BT11 F1-2-64/Climax | 11 | 2,744 | ignition | 0 |