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Date: 16 October 1964 / 16 October 1964
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Cathy Ferguson; Cynthina Goyette; Sharon Stouder; Kathleen Ellis { + Nina Harmer; Judith Reeder; Susan Pitt; Lillian Watson} | USA | 4:33.9 |
| 2 | Kornelia Winkel; Klena Bimolt; Ada Kok; Erica Terpstra { + Aartje Lasterie} | NED | 4:37.0 |
| 3 | Tatyana Savelyeva; Svetlana Babanina; Tatyana Devyatova; Natalya Ustinova { + Natalya Bystrova} | URS | 4:39.2 |
| 4 | Satoko Tanaka; Noriko Yamamoto; Eiko Takahashi; Michiko Kihara | JPN | 4:42.0 |
| 5 | Jill Norfolk; Stella Mitchell; Mary Anne Cotterill; Elizabeth Long { + Linda Ludgrove} | GBR | 4:45.8 |
| 6 | Eileen Weir; Marion Lay; Mary Stewart; Helen Kennedy | CAN | 4:49.9 |
| 7 | Ingrid Schmidt; Barbel Grimmer; Heike Hustede; Martina Grunert | GER | |
| 7 | Maria Balla; Zsuzsa Kovacs; Marta Egervary; Csilla Dobai | HUN | |
| Heats | |||
| 9 | Nanette Duncan; Margueritha Ruygrok; Linda McGill; Dawn Fraser | AUS | 4:52.3 |