No person may drive a moped upon any way in this state unless he or she holds a current valid driver's license issued by any state, a motorcycle license issued pursuant to RSA 263:31 or a restricted motorcycle license. A person who holds a restricted motorcycle license may drive any moped without holding any other class of driver's license.
N.H. Rev. Stat. Ann. § 263:33
Driving Mopeds
Source
Official source: New Hampshire General Court. Reproduced from public-domain New Hampshire statutes; confirm against the official source for the current text. Not legal advice.