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Date: 31 July 1980 / 1 August 1980
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Tatiana Prorochenko; Tatiana Goishchik; Nina Ziuskova; Irina Nazarova { + Olga Mineeva; Liudmila Chernova} | URS | 3:20.2 |
| 2 | Gabriele Lowe; Barbara Krug; Christina Lathan; Marita Koch | GDR | 3:20.4 |
| 3 | Linsey MacDonald; Michelle Probert; Joslyn Hoyte-Smith; Janine MacGregor | GBR | 3:27.5 |
| 4 | Iboia Korodi; Niculina Lazarciuc; Maria Samungi; Elena Tarfta | ROU | 3:27.7 |
| 5 | Iren Orosz; Judit Forgacs; Eva Toth; Ilona Pal { + Iboiya Petrika} | HUN | 3:27.9 |
| 6 | Grazyna Oliszewska; Elzbieta Katolik; Jolanta Januchta; Malgorzata Dunecka | POL | 3:27.9 |
| 7 | Lea Alaerts; Regine Berg; Anne Michel; Rosine Wallez | BEL | 3:31.6 |
| 8 | Svobodka Damianova; Rositsa Stamenova; Milena Andonova; Bonka Dimova | BUL | |
| Heats | |||
| 9 | Ruth Simpson; Jacqueline Rusey; Cathy Rattray-Williams; Merlene Ottey | JAM | 3:31.5 |
| 10 | Gloria Ayanlaja; Kehinde Vaughan; Asele Woy; Mary Akinyemi | NGR | 3:36.0 |
| 11 | Rosanna Lombardo; Agnese Rossamai; Daniela Porcelli; Erica Rossi | ITA | 3:46.2 |