Autódromo Juan y Oscar Gálvez · 21 January 1979
| Pos | Team | Points Breakdown | Pts | |
|---|---|---|---|---|
| 1 | Ligier Laffite 9 + Depailler 3 | Laffite 9 + Depailler 3 | 12 | |
| 2 | Team Lotus Reutemann 6 + Andretti 2 + Rebaque 0 | Reutemann 6 + Andretti 2 + Rebaque 0 | 8 | |
| 3 | McLaren Watson 4 + Tambay 0 | Watson 4 + Tambay 0 | 4 | |
| 4 | Fittipaldi Fittipaldi 1 | Fittipaldi 1 | 1 | |
| 5 | Shadow Angelis 0 + Lammers 0 | Angelis 0 + Lammers 0 | 0 | |
| 6 | Arrows Mass 0 + Patrese 0 | Mass 0 + Patrese 0 | 0 | |
| 7 | Williams Jones 0 + Regazzoni 0 | Jones 0 + Regazzoni 0 | 0 | |
| 8 | Ensign Daly 0 | Daly 0 | 0 | |
| 9 | Ferrari Villeneuve 0 + Scheckter 0 | Villeneuve 0 + Scheckter 0 | 0 | |
| 10 | Wolf Hunt 0 | Hunt 0 | 0 | |
| 11 | Tyrrell Jarier 0 + Pironi 0 | Jarier 0 + Pironi 0 | 0 | |
| 12 | Renault Jabouille 0 + Arnoux 0 | Jabouille 0 + Arnoux 0 | 0 | |
| 13 | Brabham-Alfa Romeo Lauda 0 + Piquet 0 | Lauda 0 + Piquet 0 | 0 | |
| 14 | Merzario Merzario 0 | Merzario 0 | 0 | |
| 15 | ATS Stuck 0 | Stuck 0 | 0 |
| Pos | Driver | Team | Race time / Gap | Laps | Stops | Pts | |
|---|---|---|---|---|---|---|---|
| 1 | Jacques Laffite Ligier | Ligier | 1:36:03.210 | 53 | — | 9 | |
| 2 | Carlos Reutemann Team Lotus | Team Lotus | +14.940s | 53 | — | 6 | |
| 3 | John Watson McLaren | McLaren | +1:28.810 | 53 | — | 4 | |
| 4 | Patrick Depailler Ligier | Ligier | +1:41.720 | 53 | — | 3 | |
| 5 | Mario Andretti Team Lotus | Team Lotus | +1 Lap | 52 | — | 2 | |
| 6 | Emerson Fittipaldi Fittipaldi | Fittipaldi | +1 Lap | 52 | — | 1 | |
| 7 | Elio de Angelis Shadow | Shadow | +1 Lap | 52 | — | — | |
| 8 | Jochen Mass Arrows | Arrows | +2 Laps | 51 | — | — | |
| 9 | Alan Jones Williams | Williams | +2 Laps | 51 | — | — | |
| 10 | Clay Regazzoni Williams | Williams | +2 Laps | 51 | — | — | |
| 11 | Derek Daly Ensign | Ensign | +2 Laps | 51 | — | — | |
| 12 | Gilles Villeneuve Ferrari | Ferrari | DNF Engine | 48 | — | — | |
| 13 | Hector Rebaque Team Lotus | Team Lotus | DNF Suspension | 46 | — | — | |
| 14 | Jan Lammers Shadow | Shadow | DNF Transmission | 42 | — | — | |
| 15 | James Hunt Wolf | Wolf | DNF Electrical | 41 | — | — | |
| 16 | Jean-Pierre Jarier Tyrrell | Tyrrell | DNF Engine | 15 | — | — | |
| 17 | Jean-Pierre Jabouille Renault | Renault | DNF Engine | 15 | — | — | |
| 18 | Niki Lauda Brabham-Alfa Romeo | Brabham-Alfa Romeo | DNF Fuel system | 8 | — | — | |
| 19 | René Arnoux Renault | Renault | DNF Engine | 6 | — | — | |
| 20 | Jody Scheckter Ferrari | Ferrari | DNF Collision | 0 | — | — | |
| 21 | Didier Pironi Tyrrell | Tyrrell | DNF Collision | 0 | — | — | |
| 22 | Patrick Tambay McLaren | McLaren | DNF Collision | 0 | — | — | |
| 23 | Nelson Piquet Brabham-Alfa Romeo | Brabham-Alfa Romeo | DNF Collision | 0 | — | — | |
| 24 | Arturo Merzario Merzario | Merzario | DNF Collision | 0 | — | — | |
| 25 | Riccardo Patrese Arrows | Arrows | DNF Accident | 0 | — | — | |
| 26 | Hans-Joachim Stuck ATS | ATS | DNF Withdrew | 0 | — | — |