| 1 |  |
Monaco Grand Prix | Cooper-Climax | DNF | Wheel Bearing | |
| 2 |  |
Dutch Grand Prix | Cooper-Climax | 7th | ||
| 3 |  |
Belgian Grand Prix | Cooper-Climax | 2nd | 6 | |
| 4 |  |
French Grand Prix | Cooper-Climax | 6th | 1 | |
| 5 |  |
British Grand Prix | Cooper-Climax | DNF | Gearbox | |
| 6 |  |
German Grand Prix | Cooper-Climax | DNF | Engine/Valve | |
| 7 |  |
Austrian Grand Prix | Cooper-Climax | DNF | Engine/Valve | |
| 8 |  |
Italian Grand Prix | Cooper-Climax | 2nd | 6 | |
| 9 |  |
United States Grand Prix | Cooper-Climax | DNF | Engine/Valve | |
| 10 |  |
Mexican Grand Prix | Cooper-Climax | 7th | ||
| Championship: | 7th | 13 | ||||