N.H. Rev. Stat. Ann. § 19-A:3

The term of office of each member shall be 5 years, provided, however, that of the members first appointed, 3 shall be appointed for terms of one year, 3 for terms of 2 years, 3 for terms of 3 years. The governor shall designate a chairman from the members of the council, to serve as such. The chairman shall be the chief executive officer of the council. All vacancies shall be filled for the balance of the unexpired term in the same manner as original appointments.