Dutch Grand Prix
French Grand Prix
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| Pos | Driver | Constructor | Laps | Time | Points | |
|---|---|---|---|---|---|---|
| 1 | Jack Brabham | Cooper-Climax | 36 | 2:21:37.3 | 8 | |
| 2 | Bruce McLaren | Cooper-Climax | 36 | +1:03.3 | 6 | |
| 3 | Olivier Gendebien | Cooper-Climax | 35 | 4 | ||
| 4 | Phil Hill | Ferrari | 35 | 3 | ||
| 5 | Jim Clark | Lotus-Climax | 34 | 2 | ||
| 6 | Lucien Bianchi | Cooper-Climax | 28 | 1 | ||
| DNF | Graham Hill | BRM | 35 | Engine | ||
| DNF | Alan Stacey | Lotus-Climax | 24 | Fatal Accident | ||
| DNF | Willy Mairesse | Ferrari | 23 | Transmission | ||
| DNF | Wolfgang von Trips | Ferrari | 22 | Transmission | ||
| DNF | Chris Bristow | Cooper-Climax | 19 | Fatal Accident | ||
| DNF | Chuck Daigh | Scarab | 16 | Engine | ||
| DNF | Jo Bonnier | BRM | 14 | Engine | ||
| DNF | Innes Ireland | Lotus-Climax | 13 | Spun Off/Clutch | ||
| DNF | Dan Gurney | BRM | 4 | Engine | ||
| DNF | Tony Brooks | Cooper-Climax | 2 | Gearbox | ||
| DNF | Lance Reventlow | Scarab | 1 | Engine | ||
| DNS | Stirling Moss | Lotus-Climax | 0 | Accident | ||
| DNS | Mike Taylor | Lotus-Climax | 0 | Accident |
| 1 | Bruce McLaren | 20 | 8,6,0,0,6 | |
| ▲ | 2 | Jack Brabham | 16 | 0,0,0,8,8 |
| ▼ | 3 | Stirling Moss | 11 | 0,8,0,3,0 |
| ▼ | 4 | Jim Rathmann | 8 | 0,0,8,0,0 |
| 5 | Innes Ireland | 7 | 1,0,0,6,0 | |
| ▲ | Phil Hill | 7 | 0,4,0,0,3 | |
| ▼ | 7 | Cliff Allison | 6 | 6,0,0,0,0 |
| ▼ | Rodger Ward | 6 | 0,0,6,0,0 | |
| ▼ | 9 | Graham Hill | 4 | 0,0,0,4,0 |
| ▼ | Paul Goldsmith | 4 | 0,0,4,0,0 | |
| Olivier Gendebien | 4 | 0,0,0,0,4 | ||
| ▼ | Wolfgang von Trips | 4 | 2,0,0,2,0 | |
| ▼ | 13 | Tony Brooks | 3 | 0,3,0,0,0 |
| ▼ | Don Branson | 3 | 0,0,3,0,0 | |
| ▼ | Carlos Menditeguy | 3 | 3,0,0,0,0 | |
| ▼ | 16 | Jo Bonnier | 2 | 0,2,0,0,0 |
| ▲ | Jim Clark | 2 | 0,0,0,0,2 | |
| ▼ | Johnny Thomson | 2 | 0,0,2,0,0 | |
| ▼ | Richie Ginther | 2 | 0,1,0,1,0 | |
| ▼ | 20 | Eddie Johnson | 1 | 0,0,1,0,0 |
| Lucien Bianchi | 1 | 0,0,0,0,1 |
| 1 | Cooper-Climax | 30 | 8,9,0,8,19 | |
| 2 | Lotus-Climax | 17 | 1,8,0,9,2 | |
| 3 | Ferrari | 15 | 8,5,0,3,3 | |
| 4 | BRM | 6 | 0,2,0,4,0 | |
| 5 | Cooper-Maserati | 3 | 3,0,0,0,0 |