Rhode Island used at-large districts, but elected the candidates on separate tickets instead of using a general ticket.
| District | Incumbent | Party | First elected | Result | Candidates | |||
|---|---|---|---|---|---|---|---|---|
| Thomas Tillinghast | Federalist | 1797 (Special) | Incumbent lost re-election. New member elected. Federalist hold. | nowrap | √ John Brown (Federalist) 65.4% Thomas Tillinghast (Federalist) 34.6% | |||
| Christopher G. Champlin | Federalist | 1796 | Incumbent re-elected. | nowrap | √ Christopher G. Champlin (Federalist) 97.5% Others 2.5% |