N.H. Rev. Stat. Ann. § 635:3

If any person having the charge or custody of any sheep, goats, cattle, horses, swine, or domestic fowl shall knowingly, recklessly, or negligently suffer or permit the same to enter upon, pass over, or remain upon any improved or enclosed land of another without written permission of the owner, occupant, or his or her agent, and thereby injures the owner's crops or property, the person shall be guilty of a violation. Complaints shall be made to law enforcement officials or local animal control officers who shall enforce the provisions of this section.