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Date: 14 October 1964 / 15 October 1964 / 16 October 1964
Heats
Semi-finals
Final
| Rank | Name | Nation | Time |
| 1 | Peter Snell | NZL | 1:45.1 |
| 2 | William Crothers | CAN | 1:45.6 |
| 3 | Wilson Kiprugut | KEN | 1:45.9 |
| 4 | George Kerr | JAM | 1:45.9 |
| 5 | Thomas Farrell | USA | 1:46.6 |
| 6 | Jerome Siebert | USA | 1:47.0 |
| 7 | Dieter Bogatzki | GER | 1:47.2 |
| 8 | Jacques Pennewaert | BEL | 1:50.5 |
| Semi-finals | |||
| 9 | John Boulter | GBR | 1:47.1 |
| 10 | Manfred Matuschewski | GER | 1:47.3 |
| 11 | Rudolf Klaban | AUT | 1:47.4 |
| 12 | Valery Bulyshev | URS | 1:47.5 |
| 12 | Avram Krivosheyev | URS | 1:47.5 |
| 14 | Mamoru Morimoto | JPN | 1:47.7 |
| 15 | Manfred Kinder | GER | 1:47.9 |
| 16 | Derek McCleane | IRL | 1:48.4 |
| 17 | Christopher Carter | GBR | 1:49.1 |
| 17 | Rein Tolp | URS | 1:49.1 |
| 19 | Ahmed Issa | CHA | 1:49.4 |
| 20 | Anthony Blue | AUS | 1:49.6 |
| 21 | Maurice Lurot | FRA | 1:49.7 |
| 22 | Stig Lindback | SWE | 1:49.8 |
| 23 | Pekka Juutilainen | FIN | 1:50.3 |
| 24 | Josef Lambrechts | BEL | 1:52.8 |
| Heats | |||
| 25 | Francis Chatelet | FRA | 1:48.9 |
| 26 | Graham Dean | GBR | 1:49.6 |
| 27 | Peter Francis | KEN | 1:50.1 |
| 28 | Francesco Bianchi | ITA | 1:50.2 |
| 29 | Paul Roekaerts | BEL | 1:50.9 |
| 30 | Noel Carroll | IRL | 1:51.1 |
| 31 | Morgan Groth | USA | 1:51.4 |
| 32 | Chung Kyo-Mo | KOR | 1:51.8 |
| 33 | Donald Bertoia | CAN | 1:52.2 |
| 34 | Neville Myton | JAM | 1:52.4 |
| 35 | Michel Medinger | LUX | 1:52.6 |
| 36 | Mamo Sebsibe | ETH | 1:52.8 |
| 37 | Patrick Field | HKG | 1:54.0 |
| 38 | Rolf Jelinek | SUI | 1:54.6 |
| 39 | Esmail Yazdanpanah-Barughi | IRI | 1:54.7 |
| 40 | Mohammed Hassan Chabbanga | TAN | 1:54.9 |
| 41 | Jose Gregorio Neira | COL | 1:55.6 |
| 42 | Dulam Amarsanaa | MGL | 1:56.3 |
| 43 | Anar Khan | PAK | 1:56.4 |
| 44 | Hugo Walser | LIE | 1:57.5 |
| 45 | Ramasamy Subramaniam | MAS | 1:58.5 |
| 46 | Nipon Pensuvabharp | THA | 1:58.8 |
| Did not start | |||
| Amos Gilad | ISR | ||