Dutch Grand Prix
British Grand Prix
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| Pos | Driver | Constructor | Laps | Time | Points | |
|---|---|---|---|---|---|---|
| 1 | Tony Brooks | Ferrari | 50 | 2:01:26.5 | 8 | |
| 2 | Phil Hill | Ferrari | 50 | +27.5 | 6 | |
| 3 | Jack Brabham | Cooper-Climax | 50 | +1:37.7 | 4 | |
| 4 | Olivier Gendebien | Ferrari | 50 | +1:47.5 | 3 | |
| 5 | Bruce McLaren | Cooper-Climax | 50 | +1:47.7 | 2 | |
| 6 | Ron Flockhart | BRM | 50 | +2:05.7 | ||
| 7 | Harry Schell | BRM | 47 | |||
| 8 | Giorgio Scarlatti | Maserati | 41 | |||
| 9 | Carel Godin de Beaufort | Maserati | 40 | |||
| 10 | Fritz d'Orey | Maserati | 40 | |||
| 11 | Maurice Trintignant | Cooper-Climax | 36 | |||
| DSQ | Stirling Moss | BRM | 42 | 1 | Disqualified | |
| DNF | Jean Behra | Ferrari | 31 | Engine | ||
| DNF | Roy Salvadori | Cooper-Maserati | 20 | Engine | ||
| DNF | Dan Gurney | Ferrari | 19 | Radiator | ||
| DNF | Innes Ireland | Lotus-Climax | 14 | Wheel | ||
| DNF | Ian Burgess | Cooper-Maserati | 13 | Engine | ||
| DNF | Masten Gregory | Cooper-Climax | 8 | Physical | ||
| DNF | Graham Hill | Lotus-Climax | 7 | Radiator | ||
| DNF | Colin Davis | Cooper-Maserati | 7 | Oil Leak | ||
| DNF | Jo Bonnier | BRM | 6 | Engine | ||
| DNS | Asdrúbal Fontes Bayardo | Maserati | 0 |
| 1 | Jack Brabham | 19 | 9,0,6,4 | |
| ▲ | 2 | Tony Brooks | 14 | 6,0,0,8 |
| ▲ | 3 | Phil Hill | 9 | 3,0,0,6 |
| ▼ | 4 | Jo Bonnier | 8 | 0,0,8,0 |
| ▼ | Rodger Ward | 8 | 0,8,0,0 | |
| ▼ | 6 | Jim Rathmann | 6 | 0,6,0,0 |
| ▼ | 7 | Johnny Thomson | 5 | 0,5,0,0 |
| ▼ | 8 | Maurice Trintignant | 4 | 4,0,0,0 |
| ▼ | Masten Gregory | 4 | 0,0,4,0 | |
| ▲ | Bruce McLaren | 4 | 2,0,0,2 | |
| ▼ | 11 | Innes Ireland | 3 | 0,0,3,0 |
| ▼ | Tony Bettenhausen | 3 | 0,3,0,0 | |
| Olivier Gendebien | 3 | 0,0,0,3 | ||
| ▼ | 14 | Jean Behra | 2 | 0,0,2,0 |
| ▼ | Paul Goldsmith | 2 | 0,2,0,0 | |
| ▲ | Stirling Moss | 2 | 0,0,1,1 |
| 1 | Cooper-Climax | 18 | 14,0,10,6 | |
| 2 | Ferrari | 16 | 9,0,2,17 | |
| ▼ | 3 | BRM | 8 | 0,0,8,0 |
| 4 | Lotus-Climax | 3 | 0,0,3,0 |