| « Ferrari 312T3 | Cars / 1978 / Hesketh 308E | Ligier JS7 » | |
| « 1977 |
| Built by: | Hesketh |
| Active years: | 1977 – 1978 (2) |
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| Rd | Date | Grand Prix | Driver | Team | Engine | Grid | Race | Pts |
| 1 | 15 Jan | Argentina | Divina Galica | Hesketh | Ford Cosworth DFV | DNQ | 0 | |
| 2 | 29 Jan | Brazil | Divina Galica | Hesketh | Ford Cosworth DFV | DNQ | 0 | |
| 3 | 4 Mar | South Africa | Eddie Cheever | Hesketh | Ford Cosworth DFV | 25 | Ret | 0 |
| 4 | 2 Apr | United States West | Derek Daly | Hesketh | Ford Cosworth DFV | DNPQ | 0 | |
| 5 | 7 May | Monaco | Derek Daly | Hesketh | Ford Cosworth DFV | DNPQ | 0 | |
| 6 | 21 May | Belgium | Derek Daly | Hesketh | Ford Cosworth DFV | DNQ | 0 | |
| 7 | 4 Jun | Spain | ||||||
| 8 | 17 Jun | Sweden | ||||||
| 9 | 2 Jul | France | ||||||
| 10 | 16 Jul | Great Britain | ||||||
| 11 | 30 Jul | Germany | ||||||
| 12 | 13 Aug | Austria | ||||||
| 13 | 27 Aug | Netherlands | ||||||
| 14 | 10 Sep | Italy | ||||||
| 15 | 1 Oct | United States | ||||||
| 16 | 8 Oct | Canada |