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GP of Argentinia Buenos Aires 12-4-1981, 53 laps of 5.968 m, Total distance
316.304 m
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| Pos | No | Driver | Team-engine | Diff | Reason |
| 1 | - | Nelson Piquet | Brabham-Cosworth | 1:34:32.740 | - |
| 2 | - | Carlos Reutemann | Williams-Cosworth | 1:34:59.350 | - |
| 3 | 15 | Alain Prost | Renault | 1:35:22.720 | - |
| 4 | - | Alan Jones | Williams-Cosworth | 1:35:40.620 | - |
| 5 | - | René Arnoux | Renault | 1:36:04.590 | - |
| 6 | - | Elio de Angelis | Lotus-Cosworth | -1 lap | - |
| 7 | 29 | Riccardo Patrese | Arrows-Cosworth | -1 lap | - |
| 8 | - | Mario Andretti | Alfa Romeo | -1 lap | - |
| 9 | - | Siegfried Stohr | Arrows-Cosworth | -1 lap | - |
| 10 | - | Bruno Giacomelli | Alfa Romeo | -2 laps | - |
| 11 | - | Andrea de Cesaris | McLaren-Cosworth | -2 laps | - |
| 12 | - | Jan Lammers | ATS-Cosworth | -2 laps | - |
| 13 | - | Ricardo Zunino | Tyrrell-Cosworth | -2 laps | - |
| 14 | - | Eddie Cheever | Tyrrell-Cosworth | 1 lap | Clucth |
| 15 | - | Didier Pironi | Ferrari | 3 laps | Engine |
| 16 | 12 | Nigel Mansell | Lotus-Cosworth | 3 laps | Engine |
| 17 | - | Keke Rosberg | Fittipaldi-Cosworth | 4 laps | Fuel pump |
| 18 | - | Marc Surer | Ensign-Cosworth | 14 laps | Engine |
| 19 | - | Jacques Laffite | Talbot Ligier-Matra | 19 laps | Vibrations |
| 20 | - | Chico Serra | Fittipaldi-Cosworth | 28 laps | Gearbox |
| 21 | - | Hector Rebaque | Brabham-Cosworth | 32 laps | Unknown |
| 22 | - | John Watson | McLaren-Cosworth | 36 laps | Wheel |
| 23 | - | Patrick Tambay | Theodore-Cosworth | 36 laps | Oil |
| 24 | - | Gilles Villeneuve | Ferrari | 40 laps | Differencial |
| 25 | - | Miguel Angel Guerra | Osella-Cosworth | DNQ | - |
| 26 | - | Beppe Gabbiani | Osella-Cosworth | DNQ | - |
| 27 | - | Derek Daly | March-Cosworth | DNQ | - |
| 28 | - | Jean-Pierre Jabouille | Talbot Ligier-Matra | DNQ | - |
| 29 | - | Eliseo Salazar | March-Cosworth | DNQ | - |