| 1 |  |
Monaco Grand Prix | Cooper-Climax | 5th | 2 | |
| 4 |  |
French Grand Prix | Cooper-Climax | 5th | 2 | |
| 5 |  |
British Grand Prix | Cooper-Climax | 3rd | 4.5 | |
| 6 |  |
German Grand Prix | Cooper-Climax | DNF | Transmission | |
| 7 |  |
Portuguese Grand Prix | Cooper-Climax | DNF | Transmission | |
| 8 |  |
Italian Grand Prix | Cooper-Climax | DNF | Engine | |
| 9 |  |
United States Grand Prix | Cooper-Climax | 1st | 8 | |
| Championship: | 6th | 16.5 | ||||