Jim Clark won the Mexican Grand Prix 1963 at Autódromo Hermanos Rodríguez on 27 October 1963, starting from pole position. Jack Brabham finished second for Brabham, with Richie Ginther completing the podium for BRM.
| Pos | Grid | Driver | Team | Laps | Time / Status | Pts | FL |
|---|---|---|---|---|---|---|---|
| 1 | 1 | Jim ClarkCLA | Lotus-Climax | 65 | 2:09:52.1 | 9 | |
| 2 | 10 | Jack BrabhamBRA | Brabham | 65 | +1:41.1 | 6 | |
| 3 | 5 | Richie GintherGIN | BRM | 65 | +1:54.7 | 4 | |
| 4 | 3 | Graham HillHIL | BRM | 64 | +1 Lap | 3 | |
| 5 | 8 | Jo BonnierBON | Cooper-Climax | 62 | +3 Laps | 2 | |
| 6 | 4 | Dan GurneyGUR | Brabham | 62 | +3 Laps | 1 | |
| 7 | 16 | Hap SharpSHA | Lotus-BRM | 61 | +4 Laps | 0 | |
| 8 | 15 | Jim HallHAL | Lotus-BRM | 61 | +4 Laps | 0 | |
| 9 | 9 | Jo SiffertSIF | Lotus-BRM | 59 | +6 Laps | 0 | |
| 10 | 18 | Carel Godin de BeaufortDEB | Porsche | 58 | +7 Laps | 0 | |
| 11 | 11 | Moisés SolanaSOL | BRM | 57 | Engine | 0 | |
| R | 17 | Phil HillHIL | ATS | 46 | Suspension | 0 | |
| R | 7 | Lorenzo BandiniBAN | Ferrari | 36 | Ignition | 0 | |
| R | 6 | Bruce McLarenMCL | Cooper-Climax | 30 | Engine | 0 | |
| R | 20 | Pedro RodríguezROD | Lotus-Climax | 26 | Suspension | 0 | |
| R | 14 | Masten GregoryGRE | Lola | 23 | Suspension | 0 | |
| D | 2 | John SurteesSUR | Ferrari | 19 | Disqualified | 0 | |
| R | 12 | Trevor TaylorTAY | Lotus-Climax | 19 | Engine | 0 | |
| R | 21 | Giancarlo BaghettiBAG | ATS | 12 | Engine | 0 | |
| R | 19 | Chris AmonAMO | Lotus-BRM | 9 | Gearbox | 0 | |
| R | 13 | Tony MaggsMAG | Cooper-Climax | 7 | Engine | 0 | |
| W | 0 | Frank DochnalDOC | Cooper-Climax | 0 | Withdrew | 0 | |
| W | 0 | Walt HansgenHAN | Team Lotus | 0 | Withdrew | 0 | |
| W | 0 | Innes IrelandIRE | Lotus-BRM | 0 | Withdrew | 0 | |
| W | 0 | Thomas MonarchMON | Lotus-Climax | 0 | Withdrew | 0 |