N.H. Rev. Stat. Ann. § 76:5

The selectmen shall seasonably assess all state and county taxes for which they have the warrants of the commissioner of revenue administration and county treasurers respectively; all taxes duly voted in their towns; and all school and village district taxes authorized by law or by vote of any school or village district duly certified to them; and all sums required to be assessed by RSA 33 and RSA 21-J:9-c. Any assessments report issued by the commissioner pursuant to RSA 21-J:11-a shall not affect the authority of the selectmen to assess taxes.