| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | John Surtees | 7 | Scuderia Ferrari | Ferrari 158 0005/Ferrari 205B | 15 | 2,744 | running | 13 |
| 2 | 5 | Graham Hill | 3 | Alfred Owen | BRM P261 2614/BRM | 15 | 3,640 | running | 0 |
| 3 | 4 | Lorenzo Bandini | 8 | Scuderia Ferrari | Ferrari 156 0004/Ferrari | 15 | 2,100 | running | 0 |
| 4 | 10 | Jo Siffert | 19 | Siffert Racing Team | Brabham BT11 F1-6-64/BRM | 15 | 420 | running | 0 |
| 5 | 14 | Maurice Trintignant | 22 | Maurice Trintignant | BRM P57 5781/BRM | 14 | 420 | battery | 0 |
| 6 | 16 | Tony Maggs | 26 | Scuderia Centro Sud | BRM P57 5785/BRM | 14 | 420 | running | 0 |
| 7 | 11 | Richie Ginther | 4 | Alfred Owen | BRM P261 2613/BRM | 14 | 3,500 | running | 0 |
| 8 | 17 | Mike Spence | 2 | Colin Chapman | Lotus 33 R8/Climax | 14 | 2,660 | running | 0 |
| 9 | 19 | Gerhard Mitter | 23 | Colin Chapman | Lotus 25 R6/Climax | 14 | 420 | running | 0 |
| 10 | 3 | Dan Gurney | 5 | Jack Brabham | Brabham BT7 F1-1-63/Climax | 14 | 3,192 | running | 1 |
| 11 | 9 | Chris Amon | 14 | Tim Parnell | Lotus 25 R3/BRM | 12 | 420 | suspension | 0 |
| 12 | 6 | Jack Brabham | 6 | Jack Brabham | Brabham BT7 F1-2-63/Climax | 11 | 3,416 | differential | 0 |
| 13 | 22 | Ronnie Bucknum | 20 | Honda R&D Co. | Honda RA271 001/Honda | 11 | 420 | accident | 0 |
| 14 | 18 | Peter Revson | 27 | Revson Racing | Lotus 24 P1/BRM | 10 | 420 | accident | 0 |
| 15 | 2 | Jim Clark | 1 | Colin Chapman | Lotus 33 R9/Climax | 7 | 3,780 | engine | 1 |
| 16 | 7 | Bruce McLaren | 9 | Charles Cooper | Cooper T73 F1-1-64/Climax | 4 | 2,464 | engine | 0 |
| 17 | 15 | Bob Anderson | 16 | Bob Anderson | Brabham BT11 F1-5-64/Climax | 4 | 420 | suspension | 0 |
| 18 | 20 | Edgar Barth | 12 | Rob Walker | Cooper T66 F1-2-63/Climax | 3 | 420 | clutch | 0 |
| 19 | 21 | Giancarlo Baghetti | 18 | Scuderia Centro Sud | BRM P57 5784/BRM | 2 | 420 | throttle | 0 |
| 20 | 8 | Phil Hill | 10 | Charles Cooper | Cooper T73 F1-2-64/Climax | 1 | 2,240 | engine | 0 |
| 21 | 12 | Joakim Bonnier | 11 | Rob Walker | Brabham BT11 F1-4-64/BRM | 0 | 420 | electrical | 0 |
| 22 | 13 | Mike Hailwood | 15 | Tim Parnell | Lotus 25 R7/BRM | 0 | 420 | engine | 0 |
| 23 | 23 | Carel Godin de Beaufort | 29 | Écurie Maarsbergen | Porsche 718 201/Porsche | 0 | 0 | did not start | 0 |