Of the 4 New Hampshire incumbents, only one was re-elected.
| District | Incumbent | Party | First elected | Result | Candidates | |||
|---|---|---|---|---|---|---|---|---|
| James Sheafe | Federalist | 1799 (special) | Incumbent retired. New member elected. Federalist hold. | nowrap rowspan=4 | √ Abiel Foster (Federalist) 19.3% √ Samuel Tenney (Federalist) 17.7% √ George B. Upham (Federalist) 16.5% √ Joseph Peirce (Federalist) 14.9% Nahum Parker (Democratic-Republican) 6.3% John Goddard (Democratic-Republican) 5.5% Joseph Badger (Democratic-Republican) 4.9% Ezra Bartlett (Democratic-Republican) 4.1% Michael McClary 2.5% Thomas Cogswell 1.7% Scattering 6.7% | |||
| Jonathan Freeman | Federalist | 1796 | Incumbent retired. New member elected. Federalist hold. | |||||
| William Gordon | Federalist | 1796 | Incumbent resigned June 12, 1800 to become N.H. Attorney General. New member elected. Federalist hold. Winner (Samuel Tenney) also elected to finish current term, see above. | |||||
| Abiel Foster | Federalist | 1794 | Incumbent re-elected. |