Race Result
| GP n. 122 - 10/05/1964 - Grand Prix of Monaco Circuit de Monte Carlo |
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| Winner: | Graham Hill / BRM - 2:41'19.5 | ||||||
| Pole Position: | Jim Clark / Lotus-Climax - 1:34.0 | ||||||
| Fastest Lap: | Graham Hill / BRM - 1:33.9 | ||||||
| Pos | Nš | Driver | Constructor | Laps | Time/Retired | Grid | Points |
| 1 | 8 |  Graham Hill |
BRM | 100 | 2:41'19.5 | 3 | 9 |
| 2 | 7 |  Richie Ginther |
BRM | 99 | + 1 lap | 8 | 6 |
| 3 | 11 | Peter Arundell |
Lotus-Climax | 97 | + 3 laps | 6 | 4 |
| 4 | 12 | Jim Clark |
Lotus-Climax | 96 | engine | 1 | 3 |
| 5 | 19 |  Jo Bonnier |
Cooper-Climax | 96 | + 4 laps | 11 | 2 |
| 6 | 18 | Mike Hailwood |
Lotus-BRM | 96 | + 4 laps | 15 | 1 |
| 7 | 16 | Bob Anderson |
Brabham-Climax | 86 | gear box | 12 | 0 |
| 8 | 24 |  Jo Siffert |
Lotus-BRM | 78 | + 22 laps | 16 | 0 |
| 9 | 9 | Phill Hill |
Cooper-Climax | 70 | suspension | 9 | 0 |
| 10 | 20 |  Lorenzo Bandini |
Ferrari | 68 | gear box | 7 | 0 |
| Ret | 6 | Dan Gurney |
Brabham-Climax | 62 | gear box | 5 | 0 |
| Ret | 4 |  Maurice Trintignant |
BRM | 53 | overheating | 13 | 0 |
| Ret | 5 |  Jack Brabham |
Brabham-Climax | 29 | injection | 2 | 0 |
| Ret | 10 |  Bruce McLaren |
Cooper-Climax | 17 | wheel bearing | 10 | 0 |
| Ret | 21 | John Surtees |
Ferrari | 15 | gear box | 4 | 0 |
| Ret | 15 | Trevor Taylor |
BRP-BRM | 8 | fuel leak | 14 | 0 |
| Dnq | 2 | Peter Revson |
Lotus-BRM | did not qualify | 0 | ||
| Dnq | 3 | Bernard Collomb |
Lotus-BRM | did not qualify | 0 | ||
| Dnq | 17 | Chris Amon |
Lotus-BRM | did not qualify | 0 | ||