Lerwick Town Council Election May 1964
| Candidate | Party | Votes | Result |
|---|---|---|---|
 James Taylor | Independent | 820 | Elected |
| Grace Halcrow | Independent | 799 | Elected |
 Arthur Johnson | Labour | 753 | Elected |
| Peter Robertson | Independent | 741 | Elected |
| Andrew Anderson | Independent | 686 | Not elected |
| Peter Laurenson | Labour | 648 | Not elected |
| Archibald Bews Hutchinson | Labour | 613 | Not elected |
| James R. Gair | Labour | 566 | Not elected |
| Charles Edward Alger | Independent | 249 | Not elected |