| District | Incumbent | Party | First elected | Result | Candidates[1] | ||
|---|---|---|---|---|---|---|---|
| William Edmond | Federalist | 1797 (Special) | Incumbent re-elected. | nowrap rowspan=7 | √ John Allen (Federalist) 13.4% √ Chauncey Goodrich (Federalist) 12.5% √ Samuel W. Dana (Federalist) 12.4% √ William Edmond (Federalist) 11.8% √ Roger Griswold (Federalist) 11.5% √ Jonathan Brace (Federalist) 8.4% √ John Davenport (Federalist) 7.0% Elizur Goodrich (Federalist) 4.1% Timothy Pitkin (Federalist) 3.7% Benjamin Tallmadge (Federalist) 3.5% John C. Smith (Federalist) 3.5% Elias Perkins (Federalist) 3.2% Calvin Goddard (Federalist) 2.2% Simeon Baldwin (Federalist) 1.6% | ||
| Chauncey Goodrich | Federalist | 1794 | Incumbent re-elected. | ||||
| Joshua Coit | Federalist | 1792 | Incumbent died September 5, 1798. New member elected. Federalist hold. | ||||
| Roger Griswold | Federalist | 1794 | Incumbent re-elected. | ||||
| Nathaniel Smith | Federalist | 1795 (Special) | Incumbent lost re-election. New member elected. Federalist hold. | ||||
| John Allen | Federalist | 1796 | Incumbent re-elected, but declined to serve. | ||||
| Samuel W. Dana | Federalist | 1796 | Incumbent re-elected. |