Lerwick Town Council Election May 1963
| Candidate | Party | Votes | Result |
|---|---|---|---|
| | Labour | 1,197 | Elected |
| | Independent | 1,081 | Elected |
| | Independent | 882 | Elected |
| | Labour | 824 | Elected |
| | Conservative | 518 | Not elected |
| Andrew Peterson | Independent | 496 | Not elected |