| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 6 | Jim Clark | 23 | Colin Chapman | Lotus 25 R6/Climax | 32 | 3,780 | running | 1 |
| 2 | 7 | Bruce McLaren | 20 | Charles Cooper | Cooper T73 F1-1-64/Climax | 32 | 2,632 | running | 0 |
| 3 | 3 | Jack Brabham | 14 | Jack Brabham | Brabham BT7 F1-2-63/Climax | 32 | 2,464 | running | 0 |
| 4 | 8 | Richie Ginther | 2 | Alfred Owen | BRM P261 2613/BRM | 32 | 3,500 | running | 0 |
| 5 | 2 | Graham Hill | 1 | Alfred Owen | BRM P261 2615/BRM | 31 | 3,640 | fuel pump | 2 |
| 6 | 1 | Dan Gurney | 15 | Jack Brabham | Brabham BT7 F1-1-63/Climax | 31 | 2,744 | out of fuel | 28 |
| 7 | 12 | Trevor Taylor | 4 | Alfred Moss | BRP Mk2 3-64/BRM | 31 | 420 | running | 0 |
| 8 | 17 | Giancarlo Baghetti | 6 | Scuderia Centro Sud | BRM P57 5784/BRM | 31 | 420 | running | 0 |
| 9 | 4 | Peter Arundell | 24 | Colin Chapman | Lotus 25 R4/Climax | 28 | 2,660 | overheating | 0 |
| 10 | 16 | Innes Ireland | 3 | Alfred Moss | BRP Mk1 2-64/BRM | 28 | 420 | running | 0 |
| 11 | 10 | Peter Revson | 29 | Tim Parnell | Lotus 24 P1/BRM | 28 | 420 | disqualified | 0 |
| 12 | 13 | Jo Siffert | 17 | Siffert Racing Team | Brabham BT11 F1-6-64/Climax | 14 | 420 | engine | 0 |
| 13 | 15 | Phil Hill | 21 | Charles Cooper | Cooper T73 F1-2-64/Climax | 13 | 2,240 | engine | 0 |
| 14 | 9 | Lorenzo Bandini | 11 | Scuderia Ferrari | Ferrari 158 0005/Ferrari 205B | 12 | 2,100 | engine | 0 |
| 15 | 18 | André Pilette | 28 | Equipe Scirocco Belge | Scirocco 02 SP-2-63/Climax | 11 | 420 | engine | 0 |
| 16 | 14 | Joakim Bonnier | 16 | Rob Walker | Brabham BT11 F1-4-64/BRM | 8 | 420 | illness | 0 |
| 17 | 5 | John Surtees | 10 | Scuderia Ferrari | Ferrari 158 0006/Ferrari 205B | 4 | 2,912 | engine | 1 |
| 18 | 11 | Chris Amon | 27 | Tim Parnell | Lotus 25 R3/BRM | 3 | 420 | engine | 0 |
| 19 | 19 | Tony Maggs | 7 | Scuderia Centro Sud | BRM P57 5785/BRM | 0 | 0 | did not start | 0 |
| 20 | 20 | Bob Anderson | 18 | Bob Anderson | Brabham BT11 F1-5-64/Climax | 0 | 0 | did not start | 0 |