Lerwick Town Council Election May 1961
| Candidate | Party | Votes | Result |
|---|---|---|---|
| Peter Robertson | Independent | 929 | Elected |
| Andrew Anderson | Independent | 928 | Elected |
| Kenneth Thomson | Independent | 913 | Elected |
 William Conochie | Independent | 878 | Elected |
| Robert Strachan | Labour | 832 | Not elected |
 Arthur Johnson | Labour | 827 | Not elected |
| John Johnston | Labour | 639 | Not elected |
 Robert Adair | Labour | 579 | Not elected |
| Peter S. W. Ollason | Independent | 482 | Not elected |