| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | Dan Gurney | 6 | Jack Brabham | Brabham BT7 F1-1-63/Climax | 65 | running | 2 | |
| 2 | 4 | John Surtees | 7 | North American Racing Team | Ferrari 158 0005/Ferrari 205B | 65 | running | 0 | |
| 3 | 3 | Lorenzo Bandini | 8 | North American Racing Team | Ferrari 1512 0007/Ferrari 207 | 65 | running | 0 | |
| 4 | 5 | Mike Spence | 2 | Colin Chapman | Lotus 25 R6/Climax | 65 | running | 0 | |
| 5 | 1 | Jim Clark | 1 | Colin Chapman | Lotus 33 R9/Climax | 64 | engine | 63 | |
| 6 | 9 | Pedro Rodríguez de la Vega | 18 | Scuderia Ferrari | Ferrari 156 0004/Ferrari | 64 | running | 0 | |
| 7 | 10 | Bruce McLaren | 9 | John Cooper | Cooper T73 F1-1-64/Climax | 64 | running | 0 | |
| 8 | 11 | Richie Ginther | 4 | Alfred Owen | BRM P261 2613/BRM | 64 | running | 0 | |
| 9 | 15 | Phil Hill | 10 | John Cooper | Cooper T73 F1-2-64/Climax | 63 | engine | 0 | |
| 10 | 14 | Moises Solana Arciniega | 17 | Colin Chapman | Lotus 33 R8/Climax | 63 | running | 0 | |
| 11 | 6 | Graham Hill | 3 | Alfred Owen | BRM P261 2616/BRM | 63 | running | 0 | |
| 12 | 16 | Innes Ireland | 11 | Alfred Moss | BRP Mk2 2-64/BRM | 61 | running | 0 | |
| 13 | 19 | Hap Sharp | 23 | Rob Walker | Brabham BT11 F1-4-64/BRM | 60 | running | 0 | |
| 14 | 12 | Chris Amon | 15 | Tim Parnell | Lotus 25 R4/BRM | 46 | gearbox | 0 | |
| 15 | 7 | Jack Brabham | 5 | Jack Brabham | Brabham BT11 F1-1-64/Climax | 44 | electrical | 0 | |
| 16 | 17 | Mike Hailwood | 14 | Tim Parnell | Lotus 25 R7/BRM | 12 | overheating | 0 | |
| 17 | 13 | Jo Siffert | 22 | Rob Walker | Brabham BT11 F1-6-64/BRM | 11 | fuel pump | 0 | |
| 18 | 8 | Joakim Bonnier | 16 | Rob Walker | Brabham BT7 F1-2-63/Climax | 9 | suspension | 0 | |
| 19 | 18 | Trevor Taylor | 12 | Alfred Moss | BRP Mk2 3-64/BRM | 6 | overheating | 0 |