| 1 | Dutch Grand Prix | Cooper-Climax | DNF | Gearbox | ||
| 2 | Monaco Grand Prix | Cooper-Climax | 1st | 9 | ||
| 3 | Belgian Grand Prix | Cooper-Climax | DNF | Wheel bearing | ||
| 4 | French Grand Prix | Cooper-Climax | 4th | 3 | ||
| 5 | British Grand Prix | Cooper-Climax | 3rd | 4 | ||
| 6 | German Grand Prix | Cooper-Climax | 5th | 2 | ||
| 7 | Italian Grand Prix | Cooper-Climax | 3rd | 4 | ||
| 8 | United States Grand Prix | Cooper-Climax | 3rd | 4 | ||
| 9 | South African Grand Prix | Cooper-Climax | 2nd | 6 | ||
| Championship: | 3rd | 32 | ||||