Graham Hill won the Monaco Grand Prix 1964 at Circuit de Monaco on 10 May 1964, starting from P3 on the grid. Richie Ginther finished second for BRM, with Peter Arundell completing the podium for Lotus-Climax.
| Pos | Grid | Driver | Team | Laps | Time / Status | Pts | FL |
|---|---|---|---|---|---|---|---|
| 1 | 3 | Graham HillHIL | BRM | 100 | 2:41:19.5 | 9 | |
| 2 | 8 | Richie GintherGIN | BRM | 99 | +1 Lap | 6 | |
| 3 | 6 | Peter ArundellARU | Lotus-Climax | 97 | +3 Laps | 4 | |
| 4 | 1 | Jim ClarkCLA | Lotus-Climax | 96 | Engine | 3 | |
| 5 | 11 | Jo BonnierBON | Cooper-Climax | 96 | +4 Laps | 2 | |
| 6 | 15 | Mike HailwoodHAI | Lotus-BRM | 96 | +4 Laps | 1 | |
| 7 | 12 | Bob AndersonAND | Brabham-Climax | 86 | Gearbox | 0 | |
| 8 | 16 | Jo SiffertSIF | Lotus-BRM | 78 | +22 Laps | 0 | |
| 9 | 9 | Phil HillHIL | Cooper-Climax | 70 | Suspension | 0 | |
| 10 | 7 | Lorenzo BandiniBAN | Ferrari | 68 | Gearbox | 0 | |
| R | 5 | Dan GurneyGUR | Brabham-Climax | 62 | Gearbox | 0 | |
| R | 13 | Maurice TrintignantTRI | BRM | 53 | Overheating | 0 | |
| R | 2 | Jack BrabhamBRA | Brabham-Climax | 29 | Injection | 0 | |
| R | 10 | Bruce McLarenMCL | Cooper-Climax | 17 | Wheel bearing | 0 | |
| R | 4 | John SurteesSUR | Ferrari | 15 | Gearbox | 0 | |
| R | 14 | Trevor TaylorTAY | BRP | 8 | Fuel leak | 0 | |
| F | 0 | Chris AmonAMO | Lotus-BRM | 0 | Did not qualify | 0 | |
| F | 0 | Peter RevsonREV | Lotus-BRM | 0 | Did not qualify | 0 | |
| F | 0 | Bernard CollombCOL | Lotus-BRM | 0 | Did not qualify | 0 | |
| W | 0 | Innes IrelandIRE | Lotus-BRM | 0 | Withdrew | 0 | |
| W | 0 | André PilettePIL | Scirocco | 0 | Withdrew | 0 | |
| W | 0 | Giancarlo BaghettiBAG | BRM | 0 | Withdrew | 0 | |
| W | 0 | Tony MaggsMAG | BRM | 0 | Withdrew | 0 |