| Date | 4 December 1956 |
|---|---|
| Location | Olympic Park Swimming and Diving Stadium, Melbourne, Victoria |
| Pos | Lane | Competitors | NOC | Time | Split | Exchange | |||
|---|---|---|---|---|---|---|---|---|---|
| 1 | 3 | Australia |  AUS | 4:25.0 | – (–) | – (–) | |||
| Lead-off | – | Margaret Gibson | – | 1:06.4 (1) | – (–) | ||||
| 2nd Leg | – | Sandra Morgan | – | 1:05.4 (1) | 2:11.8 (1) | ||||
| 3rd Leg | – | Elizabeth Fraser | – | 1:07.3 (2) | 3:19.1 (1) | ||||
| Anchor | – | Faith Leech | – | 1:05.9 (1) | – (–) | ||||
| 2 | 2 | Hungary |  HUN | 4:28.1 | – (–) | – (–) | |||
| Lead-off | – | Judit Temes | – | 1:07.1 (3) | – (–) | ||||
| 2nd Leg | – | Mária Littomeritzky | – | 1:07.1 (2) | 2:14.2 (2) | ||||
| 3rd Leg | – | Katalin Szőke | – | 1:07.0 (1) | 3:21.2 (2) | ||||
| Anchor | – | Valéria Gyenge | – | 1:06.9 (4) | – (–) | ||||
| 3 | 5 | Canada |  CAN | 4:29.3 | – (–) | – (–) | |||
| Lead-off | – | Virginia Grant | – | 1:06.7 (2) | – (–) | ||||
| 2nd Leg | – | Gladys Priestley | – | 1:07.7 (=3) | 2:14.4 (3) | ||||
| 3rd Leg | – | Sara Barber | – | 1:08.1 (4) | 3:22.5 (3) | ||||
| Anchor | – | Helen Stewart | – | 1:06.8 (3) | – (–) | ||||
| 4 | 6 | Sweden |  SWE | 4:30.1 | – (–) | – (–) | |||
| Lead-off | – | Anita Hellström | – | 1:08.3 (5) | – (–) | ||||
| 2nd Leg | – | Birgitta Wängberg | – | 1:07.7 (=3) | 2:16.0 (5) | ||||
| 3rd Leg | – | Karin Larsson | – | 1:07.4 (3) | 3:23.4 (4) | ||||
| Anchor | – | Kate Jobson | – | 1:06.7 (2) | – (–) | ||||
| 5 | 4 | Japan |  JPN | 4:35.8 | – (–) | – (–) | 1 | ||
| Lead-off | – | Hitomi Jinno | – | 1:07.8 (4) | – (–) | ||||
| 2nd Leg | – | Eiko Wada | – | 1:08.1 (5) | 2:15.9 (4) | ||||
| 3rd Leg | – | Yoshiko Sato | – | 1:08.8 (5) | 3:24.7 (5) | ||||
| Anchor | – | Yukiko Otaka | – | 1:11.3 (5) | – (–) |
