Jim Clark won the British Grand Prix 1963 at Silverstone Circuit on 20 July 1963, starting from pole position. John Surtees finished second for Ferrari, with Graham Hill completing the podium for BRM.
| Pos | Grid | Driver | Team | Laps | Time / Status | Pts | FL |
|---|---|---|---|---|---|---|---|
| 1 | 1 | Jim ClarkCLA | Lotus-Climax | 82 | 2:14:09.6 | 9 | |
| 2 | 5 | John SurteesSUR | Ferrari | 82 | +25.8 | 6 | |
| 3 | 3 | Graham HillHIL | BRM | 82 | +37.6 | 4 | |
| 4 | 9 | Richie GintherGIN | BRM | 81 | +1 Lap | 3 | |
| 5 | 8 | Lorenzo BandiniBAN | BRM | 81 | +1 Lap | 2 | |
| 6 | 13 | Jim HallHAL | Lotus-BRM | 80 | +2 Laps | 1 | |
| 7 | 14 | Chris AmonAMO | Lola | 80 | +2 Laps | 0 | |
| 8 | 17 | Mike HailwoodHAI | Lotus-Climax | 78 | +4 Laps | 0 | |
| 9 | 7 | Tony MaggsMAG | Cooper-Climax | 78 | +4 Laps | 0 | |
| 10 | 21 | Carel Godin de BeaufortDEB | Porsche | 76 | +6 Laps | 0 | |
| 11 | 22 | Masten GregoryGRE | Lotus-BRM | 75 | +7 Laps | 0 | |
| 12 | 16 | Bob AndersonAND | Lola | 75 | +7 Laps | 0 | |
| 13 | 23 | John Campbell-JonesCAM | Lola | 74 | +8 Laps | 0 | |
| R | 15 | Jo SiffertSIF | Lotus-BRM | 66 | Gearbox | 0 | |
| R | 12 | Jo BonnierBON | Cooper-Climax | 65 | Oil pressure | 0 | |
| R | 2 | Dan GurneyGUR | Brabham | 59 | Engine | 0 | |
| R | 19 | Ian RabyRAB | Gilby | 59 | Gearbox | 0 | |
| R | 20 | Ian BurgessBUR | Scirocco | 36 | Ignition | 0 | |
| R | 4 | Jack BrabhamBRA | Brabham | 27 | Engine | 0 | |
| R | 11 | Innes IrelandIRE | BRP | 26 | Ignition | 0 | |
| R | 10 | Trevor TaylorTAY | Lotus-Climax | 23 | Fuel pump | 0 | |
| R | 18 | Tony SettemberSET | Scirocco | 20 | Ignition | 0 | |
| R | 6 | Bruce McLarenMCL | Cooper-Climax | 6 | Engine | 0 | |
| W | 0 | Nasif EstéfanoEST | De Tomaso | 0 | Withdrew | 0 | |
| W | 0 | Giancarlo BaghettiBAG | ATS | 0 | Withdrew | 0 | |
| W | 0 | Phil HillHIL | ATS | 0 | Withdrew | 0 |