On October 15, 1824,Charles Rich ofVermont'sat-large district died in office. A special election was held for his replacement.
| Candidate | Party | Votes[1] | Percent |
|---|---|---|---|
| Henry Olin | Democratic-Republican | 5,197 | 59.3% |
| Charles K. Williams | [2] | 3,420 | 39.0% |
Olin took his seat in the 18th Congress on December 13, 1824.[3]