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Date: 30 July 1976 / 31 July 1976
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Doris Maletzki; Brigitte Rohde; Ellen Streidt; Christina Brehmer | GDR | 3:19.23 |
| 2 | Debra Sapenter; Sheila Ingram; Pam Jiles; Rosalyn Bryant | USA | 3:22.81 |
| 3 | Inta Klimovocha; Lyudmila Aksenova; Natalia Sokolova; Nadezhda Ilyina | URS | 3:24.24 |
| 4 | Judith Canty; Verna Burnard; Charlene Rendina; Bethanie Nail | AUS | 3:25.56 |
| 5 | Claudia Steger; Dagmar Fuhrmann; Elke Barth; Rita Wilden | FRG | 3:25.71 |
| 6 | Marika Lindholm; Pirjo Haggman; Mona-Lisa Pursiainen; Riitta Salin | FIN | 3:25.87 |
| 7 | Elizabeth Barnes; Gladys Taylor; Verona Elder; Donna Murray | GBR | 3:28.01 |
| 8 | Margaret Stride; Joyce Yakubowich; Rachelle Campbell; Yvonne Saunders | CAN | 3:28.91 |
| Heats | |||
| 9 | Yordanka Ivanova; Svetla Zlateva; Ivanka Bonova; Liliana Tomova | BUL | 3:31.08 |
| 10 | Lea Alaerts; Regine Berg; Anne-Marie van Nuffel; Rita Thijs | BEL | 3:32.87 |
| Disqualified | |||
| Helen Blake; Carol Cummings; Jacqueline Pusey; Ruth Simpson | JAM | ||