Conn. Gen. Stat. § 47-65a: Hunting and fishing on reservations.

Notwithstanding the provisions of section 26-27, any Indian may take, hunt or trap any wild bird or quadruped on, or take or assist in taking any fish or bait species in the waters of, the reservation of such Indian's tribe without a license therefor, subject to the regulations promulgated by the council and to such seasonal and bag limitations as may be provided by law. The Commissioner of Energy and Environmental Protection shall issue, without fee, a private land deer permit to any Indian for use only on the reservation of such Indian's tribe, provided such reservation is not less than two hundred fifty acres in size and provided further no such Indian shall be issued more than one such permit per season. Such permit shall allow the use of a rifle, shotgun, muzzleloader or bow and arrow on such reservation land from November first until December thirty-first, inclusive, of each year.