| Country: | Gibraltar |
| Flag Year: | ensign1939 |
| Previous Election: | 1959 |
| Next Election: | 1969 |
| Election Date: | 11 September 1964 |
| Seats For Election: | 11 seats in the Legislative Council |
| Majority Seats: | 6 |
| Nopercentage: | yes |
| Party1: | Association for the Advancement of Civil Rights |
| Leader1: | Joshua Hassan |
| Seats1: | 5 |
| Last Election1: | 3 |
| Party2: | Independents |
| Leader2: | – |
| Seats2: | 6 |
| Last Election2: | 3 |
| Chief Minister | |
| Before Election: | Joshua Hassan |
| Before Party: | Association for the Advancement of Civil Rights |
| After Election: | Joshua Hassan |
| After Party: | Association for the Advancement of Civil Rights |
General elections were held in Gibraltar on 11 September 1964. The Association for the Advancement of Civil Rights remained the largest party in the legislature, winning five of the eleven seats.[1]
The legislature was elected by single transferable vote.[2]