| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | John Surtees | 2 | Scuderia Ferrari | Ferrari 158 0006/Ferrari 205B | 78 | 2,744 | running | 56 |
| 2 | 5 | Bruce McLaren | 26 | Charles Cooper | Cooper T73 F1-1-64/Climax | 78 | 2,464 | running | 0 |
| 3 | 7 | Lorenzo Bandini | 4 | Scuderia Ferrari | Ferrari 158 0005/Ferrari 205B | 77 | 2,100 | running | 0 |
| 4 | 9 | Richie Ginther | 20 | Alfred Owen | BRM P261 2613/BRM | 77 | 3,500 | running | 0 |
| 5 | 13 | Innes Ireland | 46 | Alfred Moss | BRP Mk2 2-64/BRM | 77 | 420 | running | 0 |
| 6 | 8 | Mike Spence | 10 | Colin Chapman | Lotus 33 R8/Climax | 77 | 2,660 | running | 0 |
| 7 | 6 | Jo Siffert | 12 | Siffert Racing Team | Brabham BT11 F1-6-64/BRM | 77 | 420 | running | 0 |
| 8 | 15 | Giancarlo Baghetti | 30 | Scuderia Centro Sud | BRM P57 5784/BRM | 77 | 420 | running | 0 |
| 9 | 16 | Ludovico Scarfiotti | 6 | Scuderia Ferrari | Ferrari 156 0003/Ferrari | 77 | 420 | running | 0 |
| 10 | 2 | Dan Gurney | 16 | Jack Brabham | Brabham BT7 F1-1-63/Climax | 75 | 3,192 | running | 22 |
| 11 | 14 | Bob Anderson | 22 | Bob Anderson | Brabham BT11 F1-5-64/Climax | 75 | 420 | running | 0 |
| 12 | 12 | Joakim Bonnier | 34 | Rob Walker | Brabham BT7 F1-2-63/Climax | 74 | 420 | running | 0 |
| 13 | 18 | Peter Revson | 38 | Revson Racing | Lotus 24 P1/BRM | 72 | 420 | running | 0 |
| 14 | 11 | Jack Brabham | 14 | Jack Brabham | Brabham BT11 F1-1-64/Climax | 59 | 3,416 | engine | 0 |
| 15 | 4 | Jim Clark | 8 | Colin Chapman | Lotus 25 R6/Climax | 28 | 3,780 | engine | 0 |
| 16 | 19 | Mário de Araújo Cabral | 50 | Derrington-Francis | Derrington-Francis/A.T.S. | 25 | 420 | ignition | 0 |
| 17 | 21 | Maurice Trintignant | 48 | Maurice Trintignant | BRM P57 5781/BRM | 22 | 420 | injection | 0 |
| 18 | 10 | Ronnie Bucknum | 28 | Honda R&D Co. | Honda RA271 002/Honda | 13 | 420 | brakes | 0 |
| 19 | 17 | Mike Hailwood | 40 | Tim Parnell | Lotus 25 R4/BRM | 5 | 420 | engine | 0 |
| 20 | 3 | Graham Hill | 18 | Alfred Owen | BRM P261 2615/BRM | 0 | 3,640 | clutch | 0 |
| 21 | 20 | Jean-Claude Rudaz | 60 | Fabre Urbain | Cooper T60/Climax | 0 | 420 | did not start | 0 |