In a letter, the National School Boards Association called for federal law enforcement agencies to investigate and prevent violence, citing numerous instances this year of school board meetings being interrupted by anti-mask protesters or members of extremist groups.

In Mendon, Ill., this month, a 30-year-old man was arrested and charged with battery and disorderly conduct after striking a school board member at a meeting. Two school board meetings in Michigan were disrupted when a person yelled a Nazi salute in protest of mask requirements, the group said.

Arguing that the actions could amount to “a form of domestic terrorism and hate crimes,” the association asked for agencies including the F.B.I. to investigate whether the incidents violated counterterrorism or any other federal laws.