| Fin | St | Driver | # | Owner | Car | Laps | Money | Status | Laps Led |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 3 | Gilles Villeneuve | 12 | Scuderia Ferrari | Ferrari 312T4 037/Ferrari 015 | 78 | running | 39 | |
| 2 | 2 | Jody Scheckter | 11 | Scuderia Ferrari | Ferrari 312T4 038/Ferrari 015 | 78 | running | 38 | |
| 3 | 9 | Jean-Pierre Jarier | 4 | Ken Tyrrell | Tyrrell 009 3/Ford Cosworth DFV | 78 | running | 0 | |
| 4 | 8 | Mario Andretti | 1 | Colin Chapman | Lotus 79 R5/Ford Cosworth DFV | 78 | running | 0 | |
| 5 | 11 | Carlos Reutemann | 2 | Colin Chapman | Lotus 79 R2/Ford Cosworth DFV | 78 | running | 0 | |
| 6 | 4 | Niki Lauda | 5 | Bernie Ecclestone | Brabham BT48 2/Alfa Romeo 115-12 | 77 | running | 0 | |
| 7 | 12 | Nelson Piquet Souto Maior | 6 | Bernie Ecclestone | Brabham BT48 3/Alfa Romeo 115-12 | 77 | running | 0 | |
| 8 | 13 | James Hunt | 20 | Wolf Racing | Wolf WR7/Ford Cosworth DFV | 77 | running | 0 | |
| 9 | 22 | Clay Regazzoni | 28 | Frank Williams | Williams FW06 003/Ford Cosworth | 76 | running | 0 | |
| 10 | 17 | Patrick Tambay | 8 | McLaren Racing | McLaren M28 1/Ford Cosworth | 75 | running | 0 | |
| 11 | 16 | Riccardo Patrese | 29 | Jackie Oliver | Arrows A1 6A/Ford Cosworth DFV | 75 | running | 0 | |
| 12 | 20 | Jochen Mass | 30 | Jackie Oliver | Arrows A1 5A/Ford Cosworth DFV | 74 | running | 0 | |
| 13 | 18 | Emerson Wojciechowska Fittipaldi | 14 | Wilson Fittipaldi | Fittipaldi F6 1/Ford Cosworth | 74 | running | 0 | |
| 14 | 23 | Héctor Alonso Rebaque | 31 | Team Rebaque | Lotus 79 R1/Ford Cosworth DFV | 71 | engine | 0 | |
| 15 | 10 | René Arnoux | 16 | Equipe Renault | Renault RS01 3/Renault Gordini | 67 | tire | 0 | |
| 16 | 19 | Alan Jones | 27 | Frank Williams | Williams FW06 005/Ford Cosworth | 63 | suspension | 0 | |
| 17 | 14 | John Watson | 7 | McLaren Racing | McLaren M28 2/Ford Cosworth | 61 | ignition | 0 | |
| 18 | 24 | Hans Joachim Stuck | 9 | Günter Schmid | ATS D2 02/Ford Cosworth DFV | 57 | accident | 0 | |
| 19 | 1 | Jean-Pierre Jabouille | 15 | Equipe Renault | Renault RS01 2/Renault Gordini | 47 | valve spring | 1 | |
| 20 | 6 | Jacques Laffite | 26 | Guy Ligier | Ligier JS11 02/Ford Cosworth | 45 | accident | 0 | |
| 21 | 7 | Didier Pironi | 3 | Ken Tyrrell | Tyrrell 009 1/Ford Cosworth DFV | 25 | throttle linkage | 0 | |
| 22 | 15 | Elio de Angelis | 18 | Shadow Racing | Shadow DN9 3B/Ford Cosworth DFV | 16 | accident | 0 | |
| 23 | 5 | Patrick Depailler | 25 | Guy Ligier | Ligier JS11 03/Ford Cosworth | 4 | accident | 0 | |
| 24 | 21 | Jan Lammers | 17 | Shadow Racing | Shadow DN9 2B/Ford Cosworth DFV | 2 | accident | 0 | |
| 25 | 25 | Derek Daly | 22 | Morris Nunn | Ensign N179 MN-09/Ford Cosworth | 0 | did not qualify | 0 | |
| 26 | 26 | Arturo Merzario | 24 | Team Merzario | Merzario A1 01/Ford Cosworth | 0 | did not qualify | 0 |