| District | Incumbent | Party | First elected | Result | Candidates | ||
|---|---|---|---|---|---|---|---|
| Abiel Foster | Federalist | 1794 | Incumbent re-elected. | nowrap rowspan=4 | √ Abiel Foster (Federalist) 24.2% √ William Gordon (Federalist) 21.6% √ Jonathan Freeman (Federalist) 21.0% √ Peleg Sprague (Federalist) 19.5% Thomas Bellows (Federalist) 1.9% John Prentice (Federalist) 1.8% Timothy Walker (Federalist) 1.0% William Plummer (Federalist) 0.8% Joseph Dennie (Federalist) 0.7% Woodbury Langdon (Democratic-Republican) 0.7% John Goddard (Democratic-Republican) 0.6% Oliver Peabody (Federalist) 0.6% William Gardner (Democratic-Republican) 0.5% Others 5.1% | ||
| William Gordon | Federalist | 1796 | Incumbent re-elected. | ||||
| Jonathan Freeman | Federalist | 1796 | Incumbent re-elected. | ||||
| Peleg Sprague | Federalist | 1797 (Special) | Incumbent re-elected, but declined to serve. A special election was then held. |