Luigi Musso won the Argentine Grand Prix 1956 at Autódromo Juan y Oscar Gálvez on 22 January 1956, starting from P3 on the grid. Jean Behra finished second for Maserati, with Mike Hawthorn completing the podium for Maserati.
| Pos | Grid | Driver | Team | Laps | Time / Status | Pts | FL |
|---|---|---|---|---|---|---|---|
| 1 | 3 | Luigi MussoMUS | Ferrari | 98 | 3:00:03.7 | 4 | |
| 1 | 3 | Juan FangioFAN | Ferrari | 98 | 3:00:03.7 | 5 | |
| 2 | 4 | Jean BehraBEH | Maserati | 98 | +24.4 | 6 | |
| 3 | 8 | Mike HawthornHAW | Maserati | 96 | +2 Laps | 4 | |
| 4 | 11 | Chico LandiLAN | Maserati | 92 | +6 Laps | 1.5 | |
| 4 | 11 | Gerino GeriniGER | Maserati | 92 | +6 Laps | 1.5 | |
| 5 | 10 | Olivier GendebienGEN | Ferrari | 91 | +7 Laps | 2 | |
| 6 | 13 | Alberto UriaURI | Maserati | 88 | +10 Laps | 0 | |
| 6 | 13 | Óscar GonzálezGON | Maserati | 88 | +10 Laps | 0 | |
| R | 7 | Stirling MossMOS | Maserati | 81 | Engine | 0 | |
| R | 9 | Peter CollinsCOL | Ferrari | 58 | Accident | 0 | |
| R | 12 | Luigi PiottiPIO | Maserati | 57 | Accident | 0 | |
| R | 6 | Carlos MenditeguyMEN | Maserati | 42 | Halfshaft | 0 | |
| R | 2 | Eugenio CastellottiCAS | Ferrari | 40 | Gearbox | 0 | |
| R | 5 | José Froilán GonzálezGON | Maserati | 24 | Engine | 0 | |
| R | 1 | Juan FangioFAN | Ferrari | 22 | Fuel pump | 0 |