The racing history of Williams FW07C/12 is shown below including any races in non-Formula 1 events. This contains all significant races at which this car appeared.
| Race | Car | Driver | Result |
|---|---|---|---|
| United States Grand Prix West Long Beach - 15 Mar 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 2 |
| Brazilian Grand Prix Rio de Janeiro - 29 Mar 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 1 |
| Argentinian Grand Prix Buenos Aires - 12 Apr 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 2 |
| San Marino Grand Prix Imola - 3 May 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 3 |
| Belgian Grand Prix Zolder - 17 May 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 1 |
| Monaco Grand Prix Monte Carlo - 31 May 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | Retired |
| Spanish Grand Prix Jarama - 21 Jun 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 4 |
| French Grand Prix Dijon-Prenois - 5 Jul 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 10 |
| British Grand Prix Silverstone - 18 Jul 1981 | Williams FW07C [12] - Cosworth DFV V8 | Carlos Reutemann | 2 |
| Canadian Grand Prix Montréal - 27 Sep 1981 | Williams FW07C [12] - Cosworth DFV V8 | (Spare - not used in practice) | |
| Caesars Palace Grand Prix Caesars Palace - 17 Oct 1981 | Williams FW07C [12] - Cosworth DFV V8 | (Spare - not used in practice) |