New Hampshire increased its apportionment from 4 seats to 5 after the 1800 census.
| District | Incumbent | Party | First elected | Result | Candidates[1] | |
|---|---|---|---|---|---|---|
| Samuel Tenney | Federalist | 1800 | Incumbent re-elected. | √ Samuel Tenney (Federalist) 12.6% √ Samuel Hunt (Federalist) 12.0% √ David Hough (Federalist) 11.8% √ Silas Betton (Federalist) 11.6% √ Clifton Clagett (Federalist) 11.3% Nahum Parker (Democratic-Republican) 8.4% Clement Storer (Democratic-Republican) 8.0% Jonathan Smith (Democratic-Republican)8.0% Moody Bedell (Democratic-Republican) 7.1% Thomas Cogswell (Democratic-Republican) 4.5% Obed Hall (Democratic-Republican) 2.1% Scattering 2.7% | ||
| Vacant. | Incumbent Joseph Peirce resigned in 1802. New member elected. Federalist hold. | |||||
| George B. Upham | Federalist | 1800 | Incumbent retired. New member elected. Federalist hold. | |||
| Abiel Foster | Federalist | 1794 | Incumbent retired. New member elected. Federalist hold. | |||
| None (Seat created) | New seat. New member elected. Federalist gain. | |||||