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Date: 4 December 1956 / 6 December 1956
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Dawn Fraser; Faith Leech; Sandra Morgan; Lorraine Crapp { + Margaret Gibson; Elizabeth Fraser} | AUS | 4:17.1 |
| 2 | Sylvia Ruuska; Shelley Mann; Nancy Simons; Joan Rosazza { + Betty Brey; Kathryn Knapp; Marley Shriver} | USA | 4:19.2 |
| 3 | Natalie Myburgh; Susan Roberts; Moira Abernethy; Jeanette Myburgh | RSA | 4:25.7 |
| 4 | Ingrid Kunzel; Hertha Haase; Kati Jansen; Birgit Klomp | GER | 4:26.1 |
| 5 | Helen Stewart; Gladys Priestley; Sara Barber; Virginia Grant | CAN | 4:28.3 |
| 6 | Anita Hellstrom; Birgitta Wangberg; Anna Larsson; Kate Jobson | SWE | 4:30.0 |
| 7 | Maria Littomeritzky; Katalin Szoke; Judit Temes; Valeria Gyenge | HUN | 4:31.1 |
| 8 | Frances Hogben; Judith Grinham; Margaret Girvan; Fearne Ewart | GBR | 4:35.8 |
| Heats | |||
| 9 | Hitomi Jinno; Eiko Wada; Yoshiko Sato; Yukiko Otaka | JPN | 4:35.8 |
| 10 | Odile Vouaux; Viviane Gouverneur; Ginette Sendral; Heda Frost | FRA | 4:36.6 |