Cooper-Climax
Tony Maggs terminó P8 en el Campeonato del Mundo de 1963 con 9 puntos. En 10 carreras: 0 victorias, 1 podio y 0 pole positions — mejor resultado P2.
| Round | Race | Team | Grid | Finish | Points | Status |
|---|---|---|---|---|---|---|
| 1 | Monaco Grand Prix | Cooper-Climax | 10 | P5 | 2 | +2 Laps |
| 2 | Belgian Grand Prix | Cooper-Climax | 4 | P7 | Accident | |
| 3 | Dutch Grand Prix | Cooper-Climax | 9 | P17 | Overheating | |
| 4 | French Grand Prix | Cooper-Climax | 8 | P2 | 6 | Finished |
| 5 | British Grand Prix | Cooper-Climax | 7 |
| P9 |
| +4 Laps |
| 6 | German Grand Prix | Cooper-Climax | 10 | P12 | Engine |
| 7 | Italian Grand Prix | Cooper-Climax | 13 | P6 | 1 | +2 Laps |
| 8 | United States Grand Prix | Cooper-Climax | 10 | P13 | Ignition |
| 9 | Mexican Grand Prix | Cooper-Climax | 13 | P21 | Engine |
| 10 | South African Grand Prix | Cooper-Climax | 10 | P7 | +3 Laps |