| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 7 | Lorenzo Bandini | 8 | Scuderia Ferrari | Ferrari 156 0004/Ferrari | 105 | 2,100 | running | 59 |
| 2 | 5 | Richie Ginther | 4 | Alfred Owen | BRM P261 2613/BRM | 105 | 3,500 | running | 0 |
| 3 | 14 | Bob Anderson | 22 | Bob Anderson | Brabham BT11 F1-5-64/Climax | 102 | 420 | running | 0 |
| 4 | 19 | Tony Maggs | 19 | Scuderia Centro Sud | BRM P57 5785/BRM | 102 | 420 | running | 0 |
| 5 | 11 | Innes Ireland | 14 | Alfred Moss | BRP Mk2 2-64/BRM | 102 | 420 | running | 0 |
| 6 | 10 | Joakim Bonnier | 11 | Rob Walker | Brabham BT7 F1-2-63/Climax | 101 | 420 | running | 0 |
| 7 | 15 | Giancarlo Baghetti | 18 | Scuderia Centro Sud | BRM P57 5784/BRM | 96 | 420 | running | 0 |
| 8 | 18 | Mike Hailwood | 17 | Tim Parnell | Lotus 25 R3/BRM | 95 | 420 | running | 0 |
| 9 | 6 | Jack Brabham | 6 | Jack Brabham | Brabham BT11 F1-1-64/Climax | 76 | 3,416 | running | 0 |
| 10 | 13 | Jochen Rindt | 12 | Rob Walker | Brabham BT11 F1-4-64/BRM | 58 | 420 | steering | 0 |
| 11 | 20 | Phil Hill | 10 | Charles Cooper | Cooper T66 F1-6-63/Climax | 58 | 2,240 | accident | 0 |
| 12 | 4 | Dan Gurney | 5 | Jack Brabham | Brabham BT7 F1-1-63/Climax | 47 | 3,192 | suspension | 40 |
| 13 | 9 | Bruce McLaren | 9 | Charles Cooper | Cooper T73 F1-1-64/Climax | 43 | 2,464 | engine | 0 |
| 14 | 8 | Mike Spence | 2 | Colin Chapman | Lotus 33 R8/Climax | 41 | 2,660 | halfshaft | 0 |
| 15 | 3 | Jim Clark | 1 | Colin Chapman | Lotus 33 R9/Climax | 40 | 3,780 | halfshaft | 0 |
| 16 | 16 | Trevor Taylor | 15 | Alfred Moss | BRP Mk1 3-64/BRM | 21 | 420 | suspension | 0 |
| 17 | 12 | Jo Siffert | 20 | Siffert Racing Team | Brabham BT11 F1-6-64/BRM | 18 | 420 | accident | 0 |
| 18 | 2 | John Surtees | 7 | Scuderia Ferrari | Ferrari 158 0005/Ferrari 205B | 9 | 2,744 | suspension | 6 |
| 19 | 17 | Chris Amon | 16 | Tim Parnell | Lotus 25 R4/Climax | 7 | 420 | engine | 0 |
| 20 | 1 | Graham Hill | 3 | Alfred Owen | BRM P261 2615/BRM | 5 | 3,640 | distributor | 0 |