| 1 |  |
Monaco Grand Prix | Cooper-Climax | 3rd | 4 | |
| 2 |  |
Belgian Grand Prix | Cooper-Climax | 2nd | 6 | |
| 3 |  |
Dutch Grand Prix | Cooper-Climax | DNF | Gearbox | |
| 4 |  |
French Grand Prix | Cooper-Climax | 12th | Ignition | |
| 5 |  |
British Grand Prix | Cooper-Climax | DNF | Engine | |
| 6 |  |
German Grand Prix | Cooper-Climax | DNF | Accident | |
| 7 |  |
Italian Grand Prix | Cooper-Climax | 3rd | 4 | |
| 8 |  |
United States Grand Prix | Cooper-Climax | 11th | Fuel pump | |
| 9 |  |
Mexican Grand Prix | Cooper-Climax | DNF | Engine | |
| 10 |  |
South African Grand Prix | Cooper-Climax | 4th | 3 | |
| Championship: | 6th | 17 | ||||