N.H. Const. pt. 2, art. 73
The tenure that all commissioned officers shall have by law in their offices shall be expressed in their respective commissions, and all judicial officers duly appointed, commissioned and sworn, shall hold their offices during good behavior except those for whom a different provision is made in this constitution. The governor with consent of the council may remove any commissioned officer for reasonable cause upon the address of both houses of the legislature, provided nevertheless that the cause for removal shall be stated fully and substantially in the address and shall not be a cause which is a sufficient ground for impeachment, and provided further that no officer shall be so removed unless he shall have had an opportunity to be heard in his defense by a joint committee of both houses of the legislature.
June 2, 1784
Amended 1792 changing president to governor.
Amended 1966 spelling out procedures for removal from office