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Date: 15 October 1964
Summary
Final 1
| Rank | Name | Nation | Time |
| 1 | Sharon Stouder; Donna De Varona; Lillian Watson; Kathleen Ellis | USA | 4:03.8 |
| 2 | Robyn Thorn; Janice Murphy; Lynette Bell; Dawn Fraser | AUS | 4:06.9 |
| 3 | Paulina Van Der Wildt; Catharina Beumer; Winnie Van Weerdenburg; Erica Terpstra | NED | 4:12.0 |
| 4 | Judit Turoczy; Eva Erdelyi; Katalin Takacs; Csilla Dobai | HUN | 4:12.1 |
| 5 | Ann-Charlotte Lilja; Lotten Andersson; Ulla Jafvert; Ann-Christine Hagberg | SWE | 4:14.0 |
| 6 | Martina Grunert; Traudi Beierlein; Rita Schumacher; Heidi Pechstein | GER | 4:15.0 |
| 7 | Mary Stewart; Patricia Thompson; Helen Kennedy; Marion Lay | CAN | 4:15.9 |
| 8 | Paola Saini; Maria Cristina Pacifici; Mara Sacchi; Daniela Beneck | ITA | 4:17.2 |