| 1 | Argentine Grand Prix | Cooper-Climax | 1st | 8 | ||
| 2 | Monaco Grand Prix | Cooper-Climax | 2nd | 6 | ||
| 4 | Dutch Grand Prix | Cooper-Climax | DNF | Transmission | ||
| 5 | Belgian Grand Prix | Cooper-Climax | 2nd | 6 | ||
| 6 | French Grand Prix | Cooper-Climax | 3rd | 4 | ||
| 7 | British Grand Prix | Cooper-Climax | 4th | 3 | ||
| 8 | Portuguese Grand Prix | Cooper-Climax | 2nd | 6 | ||
| 10 | United States Grand Prix | Cooper-Climax | 3rd | 4 | ||
| Championship: | 2nd | 37 | ||||