Race Result
| GP n. 112 - 26/05/1963 - Grand Prix of Monaco Circuit de Monte Carlo |
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| Winner: | Graham Hill / BRM - 2:41'49.7 | ||||||
| Pole Position: | Jim Clark / Lotus-Climax - 1:34.3 | ||||||
| Fastest Lap: | John Surtees / Ferrari - 1:34.5 | ||||||
| Pos | Nš | Driver | Constructor | Laps | Time/Retired | Grid | Points |
| 1 | 6 |  Graham Hill |
BRM | 100 | 2:41'49.7 | 2 | 9 |
| 2 | 5 |  Richie Ginther |
BRM | 100 | + 4.6 | 4 | 6 |
| 3 | 7 |  Bruce McLaren |
Cooper-Climax | 100 | + 12.8 | 8 | 4 |
| 4 | 21 | John Surtees |
Ferrari | 100 | + 14.1 | 3 | 3 |
| 5 | 8 |  Tony Maggs |
Cooper-Climax | 98 | + 2 laps | 10 | 2 |
| 6 | 10 | Trevor Taylor |
Lotus-Climax | 98 | + 2 laps | 9 | 1 |
| 7 | 11 |  Jo Bonnier |
Cooper-Climax | 94 | + 6 laps | 11 | 0 |
| 8 | 9 | Jim Clark |
Lotus-Climax | 78 | gearbox | 1 | 0 |
| 9 | 3 |  Jack Brabham |
Lotus-Climax | 77 | gearbox | 15 | 0 |
| Ret | 14 | Innes Ireland |
Lotus-BRM | 40 | accident | 5 | 0 |
| Ret | 20 |  Willy Mairesse |
Ferrari | 37 | gearbox | 7 | 0 |
| Ret | 17 |  Maurice Trintignant |
Lola-Climax | 34 | clutch | 14 | 0 |
| Ret | 4 | Dan Gurney |
Brabham-Climax | 25 | differential | 6 | 0 |
| Ret | 12 | Jim Hall |
Lotus-BRM | 20 | gearbox | 13 | 0 |
| Ret | 25 |  Jo Siffert |
Lotus-BRM | 3 | engine | 12 | 0 |
| Dnq | 24 | Bernard Collomb |
Lotus-Climax | did not qualify | 0 | ||