| 1 |  |
Monaco Grand Prix | Cooper-Maserati | NC | ||
| 2 |  |
Belgian Grand Prix | Cooper-Maserati | DNF | Accident | |
| 3 |  |
French Grand Prix | Brabham-Climax | NC | ||
| 4 |  |
British Grand Prix | Brabham-Climax | DNF | Clutch | |
| 5 |  |
Dutch Grand Prix | Cooper-Maserati | 7th | ||
| 6 |  |
German Grand Prix | Cooper-Maserati | DNF | Clutch | |
| 7 |  |
Italian Grand Prix | Cooper-Maserati | DNF | Throttle | |
| 8 |  |
United States Grand Prix | Cooper-Maserati | NC | Not Classified | |
| 9 |  |
Mexican Grand Prix | Cooper-Maserati | 6th | 1 | |
| Championship: | 19th | 1 | ||||