Fair Park · 8 July 1984
Keke Rosberg won the 1984 Dallas Grand Prix for Williams from 8th on the grid, 22.464s ahead of René Arnoux. Jacques Laffite gained the most places, from 24th on the grid to 4th.
| Pos | Team | Points Breakdown | Pts | |
|---|---|---|---|---|
| 1 | Williams Rosberg 9 + Laffite 3 | Rosberg 9 + Laffite 3 | 12 | |
| 2 | Ferrari Arnoux 6 + Alboreto 0 | Arnoux 6 + Alboreto 0 | 6 | |
| 3 | Team Lotus de Angelis 4 + Mansell 1 | de Angelis 4 + Mansell 1 | 5 | |
| 4 | Osella Ghinzani 2 | Ghinzani 2 | 2 | |
| 5 | Brabham Fabi 0 + Piquet 0 | Fabi 0 + Piquet 0 | 0 | |
| 6 | ATS Winkelhock 0 | Winkelhock 0 | 0 | |
| 7 | McLaren Lauda 0 + Prost 0 | Lauda 0 + Prost 0 | 0 | |
| 8 | Arrows Boutsen 0 + Surer 0 | Boutsen 0 + Surer 0 | 0 | |
| 9 | Toleman Senna 0 + Cecotto 0 | Senna 0 + Cecotto 0 | 0 | |
| 10 | RAM Palmer 0 | Palmer 0 | 0 | |
| 11 | Renault Tambay 0 + Warwick 0 | Tambay 0 + Warwick 0 | 0 | |
| 12 | Ligier de Cesaris 0 + Hesnault 0 | de Cesaris 0 + Hesnault 0 | 0 | |
| 13 | Spirit Rothengatter 0 | Rothengatter 0 | 0 | |
| 14 | Alfa Romeo Patrese 0 + Cheever 0 | Patrese 0 + Cheever 0 | 0 | |
| 15 | Tyrrell Bellof 0 | Bellof 0 | 0 |
| Pos | Driver | Team | Race time / Gap | Laps | Stops | Pts | |
|---|---|---|---|---|---|---|---|
| 1 | Keke Rosberg Williams | Williams | 2:01:22.617 | 67 | — | 9 | |
| 2 | René Arnoux Ferrari | Ferrari | +22.464s | 67 | — | 6 | |
| 3 | Elio de Angelis Team Lotus | Team Lotus | +1 Lap | 66 | — | 4 | |
| 4 | Jacques Laffite Williams | Williams | +2 Laps | 65 | — | 3 | |
| 5 | Piercarlo Ghinzani Osella | Osella | +2 Laps | 65 | — | 2 | |
| 6 | Nigel Mansell Team Lotus | Team Lotus | DNF Gearbox | 64 | — | 1 | |
| 7 | Corrado Fabi Brabham | Brabham | +3 Laps | 64 | — | — | |
| 8 | Manfred Winkelhock ATS | ATS | +3 Laps | 64 | — | — | |
| DNF | Niki Lauda McLaren | McLaren | DNF Spun off | 60 | — | — | |
| DNF | Alain Prost McLaren | McLaren | DNF Spun off | 56 | — | — | |
| DNF | Thierry Boutsen Arrows | Arrows | DNF Spun off | 55 | — | — | |
| DNF | Michele Alboreto Ferrari | Ferrari | DNF Spun off | 54 | — | — | |
| DNF | Marc Surer Arrows | Arrows | DNF Spun off | 54 | — | — | |
| DNF | Ayrton Senna Toleman | Toleman | DNF Clutch | 47 | — | — | |
| DNF | Jonathan Palmer RAM | RAM | DNF Electrical | 46 | — | — | |
| DNF | Nelson Piquet Brabham | Brabham | DNF Spun off | 45 | — | — | |
| DNF | Patrick Tambay Renault | Renault | DNF Spun off | 25 | — | — | |
| DNF | Johnny Cecotto Toleman | Toleman | DNF Spun off | 25 | — | — | |
| DNF | Andrea de Cesaris Ligier | Ligier | DNF Spun off | 15 | — | — | |
| DNF | Huub Rothengatter Spirit | Spirit | DNF Fuel leak | 15 | — | — | |
| DNF | Riccardo Patrese Alfa Romeo | Alfa Romeo | DNF Spun off | 12 | — | — | |
| DNF | Derek Warwick Renault | Renault | DNF Spun off | 10 | — | — | |
| DSQ | Stefan Bellof Tyrrell | Tyrrell | DSQ | 9 | — | — | |
| DNF | Eddie Cheever Alfa Romeo | Alfa Romeo | DNF Spun off | 8 | — | — | |
| DNF | François Hesnault Ligier | Ligier | DNF Accident | 0 | — | — |