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Date: 30 July 1976 / 31 July 1976
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Marlies Oelsner; Renate Stecher; Carla Bodendorf; Barbel Eckert | GDR | 42.55 |
| 2 | Elvira Possekel; Inge Helten; Annegret Richter; Annegret Kroniger | FRG | 42.59 |
| 3 | Tatyana Prorochenko; Liudmila Maslakova; Nadezhda Besfamilnaya; Vera Anisimova | URS | 43.09 |
| 4 | Margaret Howe; Patty Loverock; Joanne McTaggart; Marjorie Bailey | CAN | 43.17 |
| 5 | Barbara Wilson; Deborah Wells; Denise Robertson; Raelene Boyle | AUS | 43.18 |
| 6 | Leleith Hodges; Rose Allwood; Carol Cummings; Jacqueline Pusey | JAM | 43.24 |
| 7 | Martha Watson; Evelyn Ashford; Debra Armstrong; Chandra Cheeseborough | USA | 43.35 |
| 8 | Wendy Clarke; Denise Ramsden; Sharon Colyear; Andrea Lynch | GBR | 43.79 |
| Heats | |||
| 9 | Chantal Corbrejaud; Catherine Delachanal; Chantal Rega; Sylviane Telliez | FRA | 43.95 |
| 10 | Isabel Taylor; Carmen Valdes; Fulgencia Romay; Silvia Chivas | CUB | 44.29 |