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Date: 7 September 1960 / 8 September 1960
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Martha Hudson; Lucinda Williams; Barbara Jones; Wilma Rudolph | USA | 44.5 |
| 2 | Martha Langbein; Anni Biechl; Brunhilde Hendrix; Jutta Heine | GER | 44.8 |
| 3 | Teresa Wieczorek; Barbara Janiszewska; Celina Jesionowska; Halina Richter | POL | 45.0 |
| 4 | Vera Krepkina; Valentina Maslovskaia; Maria Itkina; Irina Press | URS | 45.2 |
| 5 | Letizia Bertoni; Sandra Valenti; Piera Tizzoni; Giuseppina Leone | ITA | 45.6 |
| 6 | Carole Quinton; Dorothy Hyman; Jennifer Smart; Mary Bignal | GBR | |
| Heats | |||
| 7 | Silvia Hunte; Carlota Gooden; Lorraine Dunn; Jean Holmes | PAN | 46.5 |
| 8 | Erzsebet Heldt; Maria Bacskai; Antonia Munkacsi; Ildiko Jonas | HUN | 47.3 |
| 9 | Nancy Lewington; Sally McCallum; Valarie Jerome; Eleanor Haslam | CAN | 47.9 |
| Disqualified | |||
| Marlene Matthews Willard; Norma Thrower; Norma Fleming; Patricia Duggan | AUS | ||