Dan Gurney won the French Grand Prix 1964 at Rouen-Les-Essarts on 28 June 1964, starting from P2 on the grid. Graham Hill finished second for BRM, with Jack Brabham completing the podium for Brabham-Climax.
| Pos | Grid | Driver | Team | Laps | Time / Status | Pts | FL |
|---|---|---|---|---|---|---|---|
| 1 | 2 | Dan GurneyGUR | Brabham-Climax | 57 | 2:07:49.1 | 9 | |
| 2 | 6 | Graham HillHIL | BRM | 57 | +24.1 | 6 | |
| 3 | 5 | Jack BrabhamBRA | Brabham-Climax | 57 | +24.9 | 4 | |
| 4 | 4 | Peter ArundellARU | Lotus-Climax | 57 | +1:10.6 | 3 | |
| 5 | 9 | Richie GintherGIN | BRM | 57 | +2:12.1 | 2 | |
| 6 | 7 | Bruce McLarenMCL | Cooper-Climax | 56 | +1 Lap | 1 | |
| 7 | 10 | Phil HillHIL | Cooper-Climax | 56 | +1 Lap | 0 | |
| 8 | 13 | Mike HailwoodHAI | Lotus-BRM | 56 | +1 Lap | 0 | |
| 9 | 8 | Lorenzo BandiniBAN | Ferrari | 55 | +2 Laps | 0 | |
| 10 | 14 | Chris AmonAMO | Lotus-BRM | 53 | +4 Laps | 0 | |
| 11 | 16 | Maurice TrintignantTRI | BRM | 52 | +5 Laps | 0 | |
| 12 | 15 | Bob AndersonAND | Brabham-Climax | 50 | +7 Laps | 0 | |
| R | 11 | Innes IrelandIRE | BRP | 32 | Accident | 0 | |
| R | 1 | Jim ClarkCLA | Lotus-Climax | 31 | Engine | 0 | |
| R | 3 | John SurteesSUR | Ferrari | 6 | Engine | 0 | |
| R | 12 | Trevor TaylorTAY | BRP | 6 | Accident | 0 | |
| R | 17 | Jo SiffertSIF | Brabham-BRM | 4 | Clutch | 0 |