New Hampshire elected its members August 26, 1822. New Hampshire law required a candidate to receive votes from a majority of voters for election, that is 1/12 of votes. Only five candidates received the requisite majority, and so a May 11, 1823 run-off election was held for the sixth seat.
| District | Incumbent | This race | |||||
|---|---|---|---|---|---|---|---|
| Member | Party | First elected | Results | Candidates | |||
| Josiah Butler | Democratic-Republican | 1816 | Incumbent retired. New member elected. Democratic-Republican hold. |
| |||
| Nathaniel Upham | Democratic-Republican | 1816 | Incumbent retired. New member elected. Democratic-Republican hold. | ||||
| Matthew Harvey | Democratic-Republican | 1820 | Incumbent re-elected. | ||||
| Aaron Matson | Democratic-Republican | 1820 | Incumbent re-elected. | ||||
| William Plumer Jr. | Democratic-Republican | 1818 | Incumbent re-elected. | ||||
| Thomas Whipple Jr. | Democratic-Republican | 1820 | Incumbent re-elected. | ||||