Classification
| Pos | No | 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 | |
| 8 | 9 | Jim Clark | Lotus-Climax | 78 | Gearbox | 1 | |
| 9 | 3 | Jack Brabham | Lotus-Climax | 77 | Gearbox | 16 | |
| Ret | 14 | Innes Ireland | Lotus-BRM | 40 | Accident | 5 | |
| Ret | 20 | Willy Mairesse | Ferrari | 37 | Gearbox | 7 | |
| Ret | 17 | Maurice Trintignant | Lola-Climax | 34 | Clutch | 14 | |
| Ret | 4 | Dan Gurney | Brabham-Climax | 25 | Differential | 6 | |
| Ret | 12 | Jim Hall | Lotus-BRM | 20 | Gearbox | 13 | |
| Ret | 25 | Jo Siffert | Lotus-BRM | 3 | Engine | 12 | |
| DNS | 15 | Chris Amon | Lola-Climax | Trintignant raced car | (15) | ||
| DNQ | 24 | Bernard Collomb | Lotus-Climax | ||||
| WD | 1 | Phil Hill | ATS | Car not ready | |||
| WD | 2 | Giancarlo Baghetti | ATS | Car not ready | |||
| WD | 16 | John Campbell-Jones | Lotus-BRM | Gearbox damaged | |||
| WD | 18 | Ian Burgess | Scirocco-BRM | Car not ready | |||
| WD | 19 | Tony Settember | Scirocco-BRM | Car not ready | |||
| WD | 22 | Nasif Estéfano | De Tomaso | ||||
| WD | 23 | Lorenzo Bandini | BRM | Car repossessed by BRM | |||
| WD | 24 | Carel Godin de Beaufort | Porsche |
- After de Beaufort withdrew, his entry was taken over by Bernard Collomb. Collomb was eventually excluded for being too slow, despite being faster in qualifying than Jack Brabham, and despite there being room on the grid.
Read more about this topic: 1963 Monaco Grand Prix