Lerwick Town Council Election May 1968
| Candidate | Party | Votes | Result |
|---|---|---|---|
| Ronald Cumming | Independent | 791 | Elected |
 Harry Gray | Independent | 724 | Elected |
| William Thomson | Labour | 686 | Elected |
| Grace Halcrow | Independent | 577 | Elected |
| James Paton | Labour | 573 | Not elected |
 Robert Adair | Labour | 555 | Not elected |
| Tom Moncrieff | Independent | 399 | Not elected |
| Daniel Leask | Labour | 372 | Not elected |